Pick out the Clausius-Clapeyron equation from the following: (A) dP/dT = ∆H/T∆V (B) ln P = - (∆H/RT) + constant (C) ∆F = ∆H + T [∂(∆F)/∂T]P (D) None of these

Pick out the Clausius-Clapeyron equation from the following: (A) dP/dT = ∆H/T∆V
(B) ln P = - (∆H/RT) + constant
(C) ∆F = ∆H + T [∂(∆F)/∂T]P
(D) None of these
by

1 Answer

Answer :

B) ln P = - (∆H/RT) + constant
by

Related questions

Gibbs-Helmholtz equation is (A) ∆F = ∆H + T [∂(∆F)/∂T]P (B) ΔF = ΔH - TΔT (C) d(E - TS) T, V < 0 (D) dP/dT = ∆Hvap/T.∆Vvap

Description : Gibbs-Helmholtz equation is (A) ∆F = ∆H + T [∂(∆F)/∂T]P (B) ΔF = ΔH - TΔT (C) d(E - TS) T, V < 0 (D) dP/dT = ∆Hvap/T.∆Vvap

Last Answer : (A) ∆F = ∆H + T [∂(∆F)/∂T]P

Which of the following is Clausius-Clapeyron Equation for vaporisation of an ideal gas under the condition that the molar volume of liquid is negligible compared to that of the vapor? (A) d ln p/dt = Hvap/RT2 (B) d ln p/dt = RT2/Hvap (C) dp/dt = RT2/Hvap (D) dp/dt = Hvap/RT2

Description : Which of the following is Clausius-Clapeyron Equation for vaporisation of an ideal gas under the condition that the molar volume of liquid is negligible compared to that of the vapor? (A) d ln p/dt = Hvap/RT2 (B) d ln p/dt = RT2/Hvap (C) dp/dt = RT2/Hvap (D) dp/dt = Hvap/RT2

Last Answer : (A) d ln p/dt = Hvap/RT2

As the temperature is lowered towards the absolute zero, the value of ∂(∆F)/∂T, then approaches (A) Unity (B) Zero (C) That of the heat of reaction (D) Infinity

Description : As the temperature is lowered towards the absolute zero, the value of ∂(∆F)/∂T, then approaches (A) Unity (B) Zero (C) That of the heat of reaction (D) Infinity

Last Answer : B) Zero

To obtain integrated form of Clausius-Clapeyron equation, ln (P2/P1) = (∆HV/R) (1/T1- 1/T2) from the exact Clapeyron equation, it is assumed that the (A) Volume of the liquid phase is negligible compared to that of vapour phase (B) Vapour phase behaves as an ideal gas (C) Heat of vaporisation is independent of temperature (D) All (A), (B) & (C)

Description : To obtain integrated form of Clausius-Clapeyron equation, ln (P2/P1) = (∆HV/R) (1/T1- 1/T2) from the exact Clapeyron equation, it is assumed that the (A) Volume of the liquid phase is negligible compared to ... gas (C) Heat of vaporisation is independent of temperature (D) All (A), (B) & (C)

Last Answer : (D) All (A), (B) & (C)

Pick out the wrong statement. (A) Enthalpies of all elements in their standard states are assumed to be zero (B) Combustion reactions are never endothermic in nature (C) Heat of reaction at constant volume is equal to the change in internal energy (D) Clausius-Clapeyron equation is not applicable to melting process

Description : Pick out the wrong statement. (A) Enthalpies of all elements in their standard states are assumed to be zero (B) Combustion reactions are never endothermic in nature (C) Heat of reaction ... to the change in internal energy (D) Clausius-Clapeyron equation is not applicable to melting process

Last Answer : (D) Clausius-Clapeyron equation is not applicable to melting process

The molar excess Gibbs free energy, gE, for a binary liquid mixture at T and P is given by, (gE/RT) = A . x1. x2, where A is a constant. The corresponding equation for ln y1, where y1is the activity co-efficient of component 1, is (A) A . x22 (B) Ax1 (C) Ax2 (D) Ax12

Description : The molar excess Gibbs free energy, gE, for a binary liquid mixture at T and P is given by, (gE/RT) = A . x1. x2, where A is a constant. The corresponding equation for ln y1, where y1is the activity co-efficient of component 1, is (A) A . x22 (B) Ax1 (C) Ax2 (D) Ax12

Last Answer : (A) A . x22

Gibbs free energy (G) is represented by, G = H - TS, whereas Helmholtz free energy, (A) is given by, A = E - TS. Which of the following is the Gibbs Helmholtz equation? (A) [∂(G/T)/∂T] = - (H/T2) (B) [∂(A/T)/∂T]V = - E/T2 (C) Both (A) and (B) (D) Neither (A) nor (B)

Description : Gibbs free energy (G) is represented by, G = H - TS, whereas Helmholtz free energy, (A) is given by, A = E - TS. Which of the following is the Gibbs Helmholtz equation? (A) [∂(G/T)/∂T] = - (H/T2) (B) [∂(A/T)/∂T]V = - E/T2 (C) Both (A) and (B) (D) Neither (A) nor (B)

Last Answer : (C) Both (A) and (B)

Clausius-Clapeyron Equation gives accurate result, when the (A) Vapour pressure is relatively low and the temperature does not vary over wide limits (B) Vapour obeys the ideal gas law and the latent heat of vaporisation is constant (C) Volume in the liquid state is negligible compared with that in the vapour state (D) All (A), (B) and (C)

Description : Clausius-Clapeyron Equation gives accurate result, when the (A) Vapour pressure is relatively low and the temperature does not vary over wide limits (B) Vapour obeys the ideal gas law and the latent heat of ... is negligible compared with that in the vapour state (D) All (A), (B) and (C)

Last Answer : (D) All (A), (B) and (C)

For one dimensional flow of an incompressible fluid in unsteady state in x-direction, the continuity equation is given by (A) ∂u/∂x = 0 (B) ∂(ρu)/∂x = 0 (C) (∂u/∂x) = - (∂ρ/∂t) (D) ∂ρ/∂t = 0

Description : For one dimensional flow of an incompressible fluid in unsteady state in x-direction, the continuity equation is given by (A) ∂u/∂x = 0 (B) ∂(ρu)/∂x = 0 (C) (∂u/∂x) = - (∂ρ/∂t) (D) ∂ρ/∂t = 0

Last Answer : (A) ∂u/∂x = 0

Which of the following is not an equation of state? (A) Bertholet equation (B) Clausius-Clapeyron equation(C) Beattie-Bridgeman equation(D) None of these

Description : Which of the following is not an equation of state? (A) Bertholet equation (B) Clausius-Clapeyron equation (C) Beattie-Bridgeman equation (D) None of these

Last Answer : (B) Clausius-Clapeyron equation

Clausius-Clapeyron equation is applicable to __________ equilibrium processes. (A) Solid-vapor (B) Solid-liquid (C) Liquid-vapor (D) All (A), (B) and (C)

Description : Clausius-Clapeyron equation is applicable to __________ equilibrium processes. (A) Solid-vapor (B) Solid-liquid (C) Liquid-vapor (D) All (A), (B) and (C)

Last Answer : (D) All (A), (B) and (C)

If the vapour pressure at two temperatures of a solid phase in equilibrium with its liquid phase are known, then the latent heat of fusion can be calculated by the (A) Maxwell's equation (B) Clausius-Clapeyron Equation (C) Van Laar equation (D) Nernst Heat Theorem

Description : If the vapour pressure at two temperatures of a solid phase in equilibrium with its liquid phase are known, then the latent heat of fusion can be calculated by the (A) Maxwell's equation (B) Clausius-Clapeyron Equation (C) Van Laar equation (D) Nernst Heat Theorem

Last Answer : B) Clausius-Clapeyron Equation

Uniform fluid flow occurs, when the derivative of the flow variables satisfy the following condition. (A) ∂/∂t = 0 (B) ∂/∂t = constant (C) ∂/∂s = 0 (D) ∂/∂s = constant

Description : Uniform fluid flow occurs, when the derivative of the flow variables satisfy the following condition. (A) ∂/∂t = 0 (B) ∂/∂t = constant (C) ∂/∂s = 0 (D) ∂/∂s = constant

Last Answer : (C) ∂/∂s = 0

Steady fluid flow occurs, when the derivative of flow variables satisfy the following condition. (A) ∂/∂s = 0 (B) ∂/∂t = 0 (C) ∂/∂s = constant (D) ∂/∂t = constant

Description : Steady fluid flow occurs, when the derivative of flow variables satisfy the following condition. (A) ∂/∂s = 0 (B) ∂/∂t = 0 (C) ∂/∂s = constant (D) ∂/∂t = constant

Last Answer : (B) ∂/∂t = 0

The free energy change for a chemical reaction is given by (where, K = equilibrium constant) (A) RT ln K (B) -RT ln K (C) -R ln K (D) T ln K

Description : The free energy change for a chemical reaction is given by (where, K = equilibrium constant) (A) RT ln K (B) -RT ln K (C) -R ln K (D) T ln K

Last Answer : (B) -RT ln K

What is the equation for the work done by a constant temperature system?  A. W = mRTln(V2-V1)  B. W = mR( T2-T1 ) ln( V2/V1)  C. W = mRTln (V2/V1)  D. W = RT ln (V2/V1) Formula : W=∫ pdV lim1,2 ∫ = mRT / V

Description : What is the equation for the work done by a constant temperature system?  A. W = mRTln(V2-V1)  B. W = mR( T2-T1 ) ln( V2/V1)  C. W = mRTln (V2/V1)  D. W = RT ln (V2/V1) Formula : W=∫ pdV lim1,2 ∫ = mRT / V

Last Answer : W = mRTln (V2/V1)

At equilibrium condition, the chemical potential of a material in different phases in contact with each other is equal. The chemical potential for a real gas (μ) is given by (where, μ = standard chemical potential at unit fugacity (f° = 1 atm.) and the gas behaves ideally.) (A) μ° + RT ln f (B) μ°+ R ln f (C) μ° + T ln f (D) μ° + R/T ln f

Description : At equilibrium condition, the chemical potential of a material in different phases in contact with each other is equal. The chemical potential for a real gas (μ) is given by (where, μ = standard chemical potential at unit fugacity (f° = 1 atm. ... (B) μ°+ R ln f (C) μ° + T ln f (D) μ° + R/T ln f

Last Answer : (A) μ° + RT ln f

For an ideal gas, the chemical potential is given by (A) RT d ln P (B) R d ln P (C) R d ln f (D) None of these

Description : For an ideal gas, the chemical potential is given by (A) RT d ln P (B) R d ln P (C) R d ln f (D) None of these

Last Answer : (A) RT d ln P

For a real gas, the chemical potential is given by (A) RT d ln P (B) RT d ln f (C) R d ln f (D) None of these

Description : For a real gas, the chemical potential is given by (A) RT d ln P (B) RT d ln f (C) R d ln f (D) None of these

Last Answer : (B) RT d ln f

The equation relating E, P, V and T which is true for all substances under all conditions is given by (∂E/∂V)T = T(∂P/∂T)H - P. This equation is called the (A) Maxwell's equation (B) Thermodynamic equation of state (C) Equation of state (D) Redlich-Kwong equation of state

Description : The equation relating E, P, V and T which is true for all substances under all conditions is given by (∂E/∂V)T = T(∂P/∂T)H - P. This equation is called the (A) Maxwell's equation (B) Thermodynamic equation of state (C) Equation of state (D) Redlich-Kwong equation of state

Last Answer : (B) Thermodynamic equation of state

Which is not constant for an ideal gas? (A) (∂P/∂V)T (B) (∂V/∂T)P (C) (∂P/∂V)V (D) All (A), (B) & (C)

Description : Which is not constant for an ideal gas? (A) (∂P/∂V)T (B) (∂V/∂T)P (C) (∂P/∂V)V (D) All (A), (B) & (C)

Last Answer : (A) (∂P/∂V)T

According to Arrhenius equation of temperature dependency of rate constant for an elementary reaction (A) k ∝ √T (B) k ∝ e -E/RT (C) k ∝ T e -E/RT (D) None of these

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Last Answer : (B) k ∝ e -E/RT

The theoretical minimum work required to separate one mole of a liquid mixture at 1 atm, containing 50 mole % each of n- heptane and n octane into pure compounds each at 1 atm is (A) -2 RT ln 0.5 (B) -RT ln 0.5 (C) 0.5 RT (D) 2 RT

Description : The theoretical minimum work required to separate one mole of a liquid mixture at 1 atm, containing 50 mole % each of n- heptane and n octane into pure compounds each at 1 atm is (A) -2 RT ln 0.5 (B) -RT ln 0.5 (C) 0.5 RT (D) 2 RT

Last Answer : (B) -RT ln 0.5

What horse power is required to isothermally compress 800 ft^3 of Air per minute from 14.7 psia to 120 psia?  A. 28 hp  B.108 hp  C.256 hp  D.13900 hp Formula: W= p1V1 ln (p1/p2) Power = dW / dt

Description : What horse power is required to isothermally compress 800 ft^3 of Air per minute from 14.7 psia to 120 psia?  A. 28 hp  B.108 hp  C.256 hp  D.13900 hp Formula: W= p1V1 ln (p1/p2) Power = dW / dt

Last Answer : 108 hp

Helium ( R= 0.4698 BTU/lbm-˚R ) is compressed isothermally from 14.7 psia and 68 ˚F. The compression ratio is 1:4. Calculate the work done by the gas.  A. –1454 BTU/lbm  B. -364 BTU/lbm  C.-187BTU/lbm  D.46.7 BTU/lbm Formula: W = RT ln (V2/V1)

Description : Helium ( R= 0.4698 BTU/lbm-˚R ) is compressed isothermally from 14.7 psia and 68 ˚F. The compression ratio is 1:4. Calculate the work done by the gas.  A. –1454 BTU/lbm  B. -364 BTU/lbm  C.-187BTU/lbm  D.46.7 BTU/lbm Formula: W = RT ln (V2/V1)

Last Answer : -364 BTU/lbm

The compressibility factor, x, is used for predicting the behavior of nonideal gases. How is the compressibility ty factor defined relative to an ideal gas? (subscript “c”refers to critical value)  A. z = P / Pc  B. z = pV/ RT  C. z = T /Tc  D. z = RT / pV Hint: for an real gases the compressibility factor, x, is an dimensionless constant given by pV=zRT. Therefore z = pV / RT

Description : The compressibility factor, x, is used for predicting the behavior of nonideal gases. How is the compressibility ty factor defined relative to an ideal gas? (subscript c refers to critical value)  A. ... compressibility factor, x, is an dimensionless constant given by pV=zRT. Therefore z = pV / RT

Last Answer : z = pV/ RT

Maxwell's relation corresponding to the identity, dH = dS = Vdp + ∑μi dni is (A) (∂T/∂V)S, ni = -(∂P/∂S)V, ni (B) (∂S/∂P)T, ni = (∂V/∂T)P, ni (C) (∂S/∂V)T, ni = (∂P/∂T)V, ni (D) (∂T/∂P)S, ni = (∂V/∂S)P, ni

Description : Maxwell's relation corresponding to the identity, dH = dS = Vdp + ∑μi dni is (A) (∂T/∂V)S, ni = -(∂P/∂S)V, ni (B) (∂S/∂P)T, ni = (∂V/∂T)P, ni (C) (∂S/∂V)T, ni = (∂P/∂T)V, ni (D) (∂T/∂P)S, ni = (∂V/∂S)P, ni

Last Answer : (D) (∂T/∂P)S, ni = (∂V/∂S)P, ni

The Maxwell relation derived from the differential expression for the Helmholtz free energy (dA) is (A) (∂T/∂V)S = - (∂P/∂S)V (B) (∂S/∂P)T = - (∂V/∂T)P (C) (∂V/∂S)P = (∂T/∂P)S (D) (∂S/∂V)T = (∂P/∂T)V

Description : The Maxwell relation derived from the differential expression for the Helmholtz free energy (dA) is (A) (∂T/∂V)S = - (∂P/∂S)V (B) (∂S/∂P)T = - (∂V/∂T)P (C) (∂V/∂S)P = (∂T/∂P)S (D) (∂S/∂V)T = (∂P/∂T)V

Last Answer : (D) (∂S/∂V)T = (∂P/∂T)V

Which of the following identities can be most easily used to verify steam table data for superheated steam? (A) (∂T/∂V)S = (∂p/∂S)V (B) (∂T/∂P)S = (∂V/∂S)P (C) (∂P/∂T)V = (∂S/∂V)T (D) (∂V/∂T)P = -(∂S/∂P)T

Description : Which of the following identities can be most easily used to verify steam table data for superheated steam? (A) (∂T/∂V)S = (∂p/∂S)V (B) (∂T/∂P)S = (∂V/∂S)P (C) (∂P/∂T)V = (∂S/∂V)T (D) (∂V/∂T)P = -(∂S/∂P)T

Last Answer : D) (∂V/∂T)P = -(∂S/∂P)T

Cvis given by (A) (∂E/∂T)V (B) (∂E/∂V)T (C) (∂E/∂P)V (D) (∂V/∂T)P

Description : Cvis given by (A) (∂E/∂T)V (B) (∂E/∂V)T (C) (∂E/∂P)V (D) (∂V/∂T)P

Last Answer : (A) (∂E/∂T)V

The equilibrium constant for a chemical reaction at two different temperatures is given by (A) Kp2/Kp1 = - (∆H/R) (1/T2- 1/T1) (B) Kp2/Kp1 = (∆H/R) (1/T2- 1/T1) (C) Kp2/Kp1 = ∆H (1/T2- 1/T1) (D) Kp2/Kp1 = - (1/R) (1/T2- 1/T1)

Description : The equilibrium constant for a chemical reaction at two different temperatures is given by (A) Kp2/Kp1 = - (∆H/R) (1/T2- 1/T1) (B) Kp2/Kp1 = (∆H/R) (1/T2- 1/T1) (C) Kp2/Kp1 = ∆H (1/T2- 1/T1) (D) Kp2/Kp1 = - (1/R) (1/T2- 1/T1)

Last Answer : (A) Kp2/Kp1 = - (∆H/R) (1/T2- 1/T1)

Pick out the correct statement. (A) Plastic chips are called non-cohesive solids (B) Kick's crushing law is, P/m = K . ln (D̅sa /Ds̅b ) (C) Communition is a generic term for size enlargement operation (D) Energy required in kwh per ton of product, such that 80% of it passes through a 200 mesh screen, is called 'Work index'

Description : Pick out the correct statement. (A) Plastic chips are called non-cohesive solids (B) Kick's crushing law is, P/m = K . ln (D̅sa /Ds̅b ) (C) Communition is a generic term for size enlargement ... per ton of product, such that 80% of it passes through a 200 mesh screen, is called 'Work index'

Last Answer : (B) Kick's crushing law is, P/m = K . ln (D̅sa /Ds̅b )

Which of the following represents the Virial equation of state? (A) T = [RT/(V- b)] - [a/√T. V(V + b)] (B) PV/RT = 1 + (B/V) + (C/V2) + …… (C) n1u2 + μ2μ1 = 0 (D) None of these

Description : Which of the following represents the Virial equation of state? (A) T = [RT/(V- b)] - [a/√T. V(V + b)] (B) PV/RT = 1 + (B/V) + (C/V2) + …… (C) n1u2 + μ2μ1 = 0 (D) None of these

Last Answer : (B) PV/RT = 1 + (B/V) + (C/V2) + ……

. Which of the following equations is Rittinger's crushing law? (Where P = power required by the machine, m = feed rate, k = a constant, Ds̅a & D̅sb = volume surface mean diameter of feed & product respectively.) (A) P/m = K/ √Dp (B) P/m = K . ln D̅sa /D̅sb (C) P/m = K . (1/ D̅sb - 1/Ds̅a ) (D) None of these

Description : . Which of the following equations is Rittinger's crushing law? (Where P = power required by the machine, m = feed rate, k = a constant, Ds̅a & D̅sb = volume surface mean diameter of feed & product respectively.) (A) P/m = K/ ... K . ln D̅sa /D̅sb (C) P/m = K . (1/ D̅sb - 1/Ds̅a ) (D) None of these

Last Answer : (C) P/m = K . (1/ D̅sb - 1/Ds̅a )

Variation of equilibrium pressure with temperature for any two phases of a given substances is given by the __________ equation. (A) Gibbs-Duhem (B) Maxwell's (C) Clapeyron (D) None of these

Description : Variation of equilibrium pressure with temperature for any two phases of a given substances is given by the __________ equation. (A) Gibbs-Duhem (B) Maxwell's (C) Clapeyron (D) None of these

Last Answer : (C) Clapeyron

Clapeyron Equation deals with the (A) Rate of change of vapour pressure with temperature (B) Effect of an inert gas on vapour pressure (C) Calculation of ΔF for spontaneous phase change (D) Temperature dependence of heat of phase transition

Description : Clapeyron Equation deals with the (A) Rate of change of vapour pressure with temperature (B) Effect of an inert gas on vapour pressure (C) Calculation of ΔF for spontaneous phase change (D) Temperature dependence of heat of phase transition

Last Answer : (A) Rate of change of vapour pressure with temperature

The value of Steric factor 'P' in the equation k = PZe E/RT usually ranges from (A) 1.0 to 10 -8 (B) 1.1 to 10 2 (C) 0.1 to 0.9 (D) None of these

Description : The value of Steric factor 'P' in the equation k = PZe E/RT usually ranges from (A) 1.0 to 10 -8 (B) 1.1 to 10 2 (C) 0.1 to 0.9 (D) None of these

Last Answer : (A) 1.0 to 10 -8

Internal energy of a gas obeying Van-Der-Waals equation of state, [p + (a/v2)] (V - b) = RT, depends upon its (A) Pressure & temperature (B) Pressure & specific volume (C) Temperature & specific volume (D) Temperature only

Description : Internal energy of a gas obeying Van-Der-Waals equation of state, [p + (a/v2)] (V - b) = RT, depends upon its (A) Pressure & temperature (B) Pressure & specific volume (C) Temperature & specific volume (D) Temperature only

Last Answer : (A) Pressure & temperature

The order of reaction is the number of moles whose concentrations determine the rate of a reaction at a given temperature Give the integrated equation for first order reaction. K = (2.303 / t) * log (a / a-x) Rate equation of first order reaction is. dx/dt = K * (a-x) where ‘a’ is the initial concentration of reactants ‘x’ is the amount reacted in time t seconds

Description : The order of reaction is the number of moles whose concentrations determine the rate of a reaction at a given temperature Give the integrated equation for first order reaction. K = (2.303 / t) * log (a ... a' is the initial concentration of reactants x' is the amount reacted in time t seconds

Last Answer : What is Threshold energy ?

According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is critically damped? A x = (A + Bt) e – ωt B x = X e – ξωt (sin ω d t + Φ) C x = (A – Bt) e – ωt D x = X e – ξωt (cos ω d t + Φ)

Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is ... Φ) C x = (A - Bt) e - ωt D x = X e - ξωt (cos ω d t + Φ)

Last Answer : A x = (A + Bt) e – ωt

According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is critically damped? A. x = (A + Bt) e – ωt B. x = X e – ξωt (sin ω d t + Φ) C. x = (A – Bt) e – ωt D. x = X e – ξωt (cos ω d t + Φ

Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is ... ) C. x = (A - Bt) e - ωt D. x = X e - ξωt (cos ω d t + Φ

Last Answer : A. x = (A + Bt) e – ωt

According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the A differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is critically damped? ( A ) x = (A + Bt) e – ωt (B)x = X e – ξωt (sin ω d t + Φ) (C)x = (A – Bt) e – ωt ( D )x = X e – ξωt (cos ω d t + Φ

Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the A differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is ... (C)x = (A - Bt) e - ωt ( D )x = X e - ξωt (cos ω d t + Φ

Last Answer : ( A ) x = (A + Bt) e – ωt

According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equati damped free vibrations having single degree of freedom. What will be the solution to this differ equation if the system is critically damped? a. x = (A + Bt) e – ωt b. x = X e – ξωt (sin ω d t + Φ) c. x = (A – Bt) e – ωt d. x = X e – ξωt (cos ω d t + Φ)

Description : According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equati damped free vibrations having single degree of freedom. What will be the solution to this differ equation if the system is critically ... c. x = (A - Bt) e - ωt d. x = X e - ξωt (cos ω d t + Φ)

Last Answer : a. x = (A + Bt) e – ωt

From collision theory, the reaction rate constant is proportional to (A) exp (-E/RT) (B) exp (-E/2RT) (C) √T (D) T m exp (-E/RT)

Description : From collision theory, the reaction rate constant is proportional to (A) exp (-E/RT) (B) exp (-E/2RT) (C) √T (D) T m exp (-E/RT)

Last Answer : (D) T m exp (-E/RT)

Rate constant 'k' and absolute temperature 'T' are related by collision theory (for bimolecular) as (A) k ∝ T 1.5 (B) k ∝ exp(-E/RT) (C) k ∝ √T (D) k ∝ T

Description : Rate constant 'k' and absolute temperature 'T' are related by collision theory (for bimolecular) as (A) k ∝ T 1.5 (B) k ∝ exp(-E/RT) (C) k ∝ √T (D) k ∝ T

Last Answer : (C) k ∝ √T

The relation among various mass transfer co-efficients (M.T.C) for ideal gases is given by (where, Kc & Km are M.T.C. for equimolar counter diffusion with concentration & mole fraction respectively as the driving force. and, Kp= M.T.C. for diffusion of a gas through a stagnant inert gas with pressure as driving force.) (A) Kc = Kp = Km (B) Kc = Kp /RT = Km . RT/P (C) Kc = Kp . RT = Km . RT/p (D) None of these

Description : The relation among various mass transfer co-efficients (M.T.C) for ideal gases is given by (where, Kc & Km are M.T.C. for equimolar counter diffusion with concentration & mole fraction respectively as the driving ... (C) Kc = Kp . RT = Km . RT/p (D) None of these

Last Answer : (C) Kc = Kp . RT = Km . RT/p

The internal energy of a gas obeying P (V - b) RT (where, b is a positive constant and has a constant Cv ), depends upon its (A) Pressure (B) Volume (C) Temperature (D) All (A), (B) & (C)

Description : The internal energy of a gas obeying P (V - b) RT (where, b is a positive constant and has a constant Cv ), depends upon its (A) Pressure (B) Volume (C) Temperature (D) All (A), (B) & (C)

Last Answer : (C) Temperature

In the equation Pv = RT, the constant of proportionality R is known as ______.  A. Universal gas constant  B. Gas constant  C. Ideal gas factor  D. Gas index

Description : In the equation Pv = RT, the constant of proportionality R is known as ______.  A. Universal gas constant  B. Gas constant  C. Ideal gas factor  D. Gas index

Last Answer : Gas constant

Clapeyron equation is applicable for registration at (a) saturation point of vapour (b) saturation point of liquid (c) sublimation temperature (d) triple point.

Description : Clapeyron equation is applicable for registration at (a) saturation point of vapour (b) saturation point of liquid (c) sublimation temperature (d) triple point.

Last Answer : Ans: a