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

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
by

1 Answer

Answer :

(B) RT d ln f
by

Related questions

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

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

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

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

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

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

Description : 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

Last Answer : B) ln P = - (∆H/RT) + constant

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 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)

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

The expression for entropy change given by, ΔS = - nR ln (P2/P1), holds good for (A) Expansion of a real gas (B) Reversible isothermal volume change (C) Heating of an ideal gas (D) Cooling of a real gas

Description : The expression for entropy change given by, ΔS = - nR ln (P2/P1), holds good for (A) Expansion of a real gas (B) Reversible isothermal volume change (C) Heating of an ideal gas (D) Cooling of a real gas

Last Answer : (B) Reversible isothermal volume change

If air is at pressure, p, of 3200 lbf/ft2 , and at a temperature, T, of 800 ˚R, what is the specific volume, v? (R=5303 ft-lbf/lbm-˚R, and air can be modeled as an ideal gas.)  A.9.8 ft^3/lbm  B.11.2 ft^3/lbm  C.13.33 ft^3/lbm  D.14.2 ft^3/lbm Formula: pv = RT v = RT / p

Description : If air is at pressure, p, of 3200 lbf/ft2 , and at a temperature, T, of 800 ˚R, what is the specific volume, v? (R=5303 ft-lbf/lbm-˚R, and air can be modeled as an ideal gas.)  A.9.8 ft^3/lbm  B.11.2 ft^3/lbm  C.13.33 ft^3/lbm  D.14.2 ft^3/lbm Formula: pv = RT v = RT / p

Last Answer : 13.33 ft^3/lbm

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

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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)

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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

The potential of a uniformly charged line with density λ is given by, λ/(2πε) ln(b/a). State True/False. a) True b) False

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Last Answer : (C) Temperature

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Last Answer : (A) Pressure & temperature

The expression for entropy change given by, ΔS = nR ln (V2/V1) + nCvln (T2/T1) is valid for (A) Reversible isothermal volume change (B) Heating of a substance (C) Cooling of a substance (D) Simultaneous heating and expansion of an ideal gas

Description : The expression for entropy change given by, ΔS = nR ln (V2/V1) + nCvln (T2/T1) is valid for (A) Reversible isothermal volume change (B) Heating of a substance (C) Cooling of a substance (D) Simultaneous heating and expansion of an ideal gas

Last Answer : (D) Simultaneous heating and expansion of an ideal gas

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

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Pick out the wrong statement: (A) Chemical reactions with high activation energy are very temperature sensitive (B) A flat velocity profile exists in a plug flow reactor (C) The residence time for all the elements of fluid in case of a P.F.R. need not be same (D) Half life of a reaction increases with increased initial concentration for reaction orders more than one

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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 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 )

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

Consider an ideal solution of components A and B. The entropy of mixing per mole of an alloy containing 50% B is (A) R ln 2 (B) -R ln 2 (C) 3 R ln 2 (D) -3R ln 2

Description : Consider an ideal solution of components A and B. The entropy of mixing per mole of an alloy containing 50% B is (A) R ln 2 (B) -R ln 2 (C) 3 R ln 2 (D) -3R ln 2

Last Answer : (A) R ln 2

The chemical potential of a component (μi) of a phase is the amount by which its capacity for doing all work, barring work of expansion is increased per unit amount of substance added for an infinitesimal addition at constant temperature and pressure. It is given by (A) (∂E/∂ni)S, v, nj (B) (∂G/∂ni)T, P, nj = (∂A/∂ni) T, v, nj (C) (∂H/∂ni)S, P, nj (D) All (A), (B) and (C)

Description : The chemical potential of a component (μi) of a phase is the amount by which its capacity for doing all work, barring work of expansion is increased per unit amount of substance added for an infinitesimal addition at constant temperature and ... , nj (C) (∂H/∂ni)S, P, nj (D) All (A), (B) and (C)

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

Chemical potential of ith component of a system is given by (A) µi = (∂F/∂ni)T, P, ni (B) µi = (∂A/∂ni)T, P, ni (C) µi = (∂F/∂ni)T, P (D) µi = (∂A/∂ni)T, P

Description : Chemical potential of ith component of a system is given by (A) µi = (∂F/∂ni)T, P, ni (B) µi = (∂A/∂ni)T, P, ni (C) µi = (∂F/∂ni)T, P (D) µi = (∂A/∂ni)T, P

Last Answer : A) µi = (∂F/∂ni)T, P, ni

The expression, ∆G = nRT. ln(P2/P1), gives the free energy change (A) With pressure changes at constant temperature (B) Under reversible isothermal volume change (C) During heating of an ideal gas (D) During cooling of an ideal gas

Description : The expression, ∆G = nRT. ln(P2/P1), gives the free energy change (A) With pressure changes at constant temperature (B) Under reversible isothermal volume change (C) During heating of an ideal gas (D) During cooling of an ideal gas

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The expression, nRT ln(P1/P2), is for the __________of an ideal gas. (A) Compressibility (B) Work done under adiabatic condition (C) Work done under isothermal condition (D) Co-efficient of thermal expansion

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Last Answer : C) Work done under isothermal condition

Concentration of the limiting reactant (with initial concentration of a moles/litre) after time t is (a-x). Then 't' for a first order reaction is given by (A) k. t = ln a/(a - x) (B) k. t = x/a (a - x) (C) k. t = ln (a - x)/a (D) k. t = ln a (a - x)/x

Description : Concentration of the limiting reactant (with initial concentration of a moles/litre) after time t is (a-x). Then 't' for a first order reaction is given by (A) k. t = ln a/(a - x) (B) k. t = x/a (a - x) (C) k. t = ln (a - x)/a (D) k. t = ln a (a - x)/x

Last Answer : (A) k. t = ln a/(a - x)

The thickness of oxide film is y at time t. If K1, K2 and K3 are the temperature dependent constants, the parabolic law of oxidation is given by (A) y2 = 2k1t + k2 (B) y = k1 ln (k2t + k3) (C) y = k1 t + k2 (D) y = k1t3 + k2

Description : The thickness of oxide film is y at time t. If K1, K2 and K3 are the temperature dependent constants, the parabolic law of oxidation is given by (A) y2 = 2k1t + k2 (B) y = k1 ln (k2t + k3) (C) y = k1 t + k2 (D) y = k1t3 + k2

Last Answer : Option A

The formula for computing impedance in a series circuit containing resistance, capacitance, and inductance is _____________. [ NOTE: the symbol * stands for 'multiplied by' ] A. Z = RT + XL + XC B. Z = R + XL - XC C. Z * Z = R * R + (XL - XC) * (XL - XC) D. Z = R * R + (XL * XC) - (XL * XC)

Description : The formula for computing impedance in a series circuit containing resistance, capacitance, and inductance is _____________. [ NOTE: the symbol * stands for 'multiplied by' ] A. Z = RT + XL + XC B. Z = R + XL - XC C. Z * Z = R * R + (XL - XC) * (XL - XC) D. Z = R * R + (XL * XC) - (XL * XC)

Last Answer : Answer: C

If the potential is given by, V = 10sin θ cosφ/r, find the density at the point P(2, π/2, 0) (in 10 -12 units) a) 13.25 b) 22.13 c) 26.31 d) 31.52

Description : If the potential is given by, V = 10sin θ cosφ/r, find the density at the point P(2, π/2, 0) (in 10 -12 units) a) 13.25 b) 22.13 c) 26.31 d) 31.52

Last Answer : b) 22.13

he gas law (PV = RT) is true for an __________ change. (A) Isothermal (B) Adiabatic (C) Both (A) & (B) (D) Neither (A) nor (B)

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

In the given figure, YZ is parallel to MN, XY is parallel is LM and XZ is parallel to LN. Then MY is -Maths 9th

Description : In the given figure, YZ is parallel to MN, XY is parallel is LM and XZ is parallel to LN. Then MY is -Maths 9th

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The inductance of a coaxial cable with inner radius a and outer radius b, from a distance d, is given by a) L = μd ln(b/a)/2π b) L = 2π μd ln(b/a) c) L = πd/ln(b/a) d) L = 0

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Last Answer : a) L = μd ln(b/a)/2π

Given an open address hash table with load factor a < 1, the expected number of probes in a successful search is (A) Atmost 1/α ln (1-α/α) (B) Atmost 1/α ln (1/1-α) (C) Atleast 1/α ln (1/1-α) (D) Atleast 1/α ln (α/1-α)

Description : Given an open address hash table with load factor a < 1, the expected number of probes in a successful search is (A) Atmost 1/α ln (1-α/α) (B) Atmost 1/α ln (1/1-α) (C) Atleast 1/α ln (1/1-α) (D) Atleast 1/α ln (α/1-α)

Last Answer : (B) Atmost 1/α ln (1/1-α)

The ratio of volume of mixed reactor to the volume of P.F.R. (for identical flow rate, feed composition and conversion) for zero order reaction is: (A) ∞(B) 0 (C) 1 (D) > 1

Description : The ratio of volume of mixed reactor to the volume of P.F.R. (for identical flow rate, feed composition and conversion) for zero order reaction is: (A) ∞ (B) 0 (C) 1 (D) > 1

Last Answer : (C) 1

In an ideal P.F.R. at steady state conditions (A) The composition of reactants remains constant along a flow path (B) The conversion of the reactant varies from point to point along a flow path (C) There is no lateral mixing of fluid (D) There may be diffusion along the flow path

Description : In an ideal P.F.R. at steady state conditions (A) The composition of reactants remains constant along a flow path (B) The conversion of the reactant varies from point to point along a flow path (C) There is no lateral mixing of fluid (D) There may be diffusion along the flow path

Last Answer : (B) The conversion of the reactant varies from point to point along a flow path

In case of a P.F.R., there (A) May be lateral mixing of fluid (B) Should not be any mixing along the flow path (C) Both (A) and (B) (D) Neither (A) nor (B)

Description : In case of a P.F.R., there (A) May be lateral mixing of fluid (B) Should not be any mixing along the flow path (C) Both (A) and (B) (D) Neither (A) nor (B)

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

The performance equations for constant density systems are identical for (A) P.F.R. and backmix reactor (B) P.F.R. and batch reactor (C) P.F.R, batch reactor and backmix reactor (D) Batch reactor and backmix reactor

Description : The performance equations for constant density systems are identical for (A) P.F.R. and backmix reactor (B) P.F.R. and batch reactor (C) P.F.R, batch reactor and backmix reactor (D) Batch reactor and backmix reactor

Last Answer : (B) P.F.R. and batch reactor

What mass of nitrogen is contained in a10 ft3 vessel at a pressure of 840atm and 820°R? Make a computation by using ideal gas equation.  a. 194lb  b. 214lb  c. 394 lb  d. 413lb formula: m=pV /RT

Description : What mass of nitrogen is contained in a10 ft3 vessel at a pressure of 840atm and 820°R? Make a computation by using ideal gas equation.  a. 194lb  b. 214lb  c. 394 lb  d. 413lb formula: m=pV /RT

Last Answer : 394 lb

Out of the following four assumptions used in the derivation of theequation for LMTD[LMTD = (∆t1- ∆t2)/ln(∆t1/∆t2)], which one is subject to the largest deviationin practice ?(A) Constant overall heat transfer co-efficient.(B) Constant rate of fluid flow(C) Constant specific heat(D) No partial phase change in the system

Description : Out of the following four assumptions used in the derivation of theequation for LMTD [LMTD = (∆t1 - ∆t2 )/ln(∆t1 /∆t2 )], which one is subject to the largest deviation in practice ? (A) Constant ... (B) Constant rate of fluid flow (C) Constant specific heat (D) No partial phase change in the system

Last Answer : (B) Constant rate of fluid flow

The conversion XA and residence time data are collected for zero order liquid phase reaction in a stirred tank reactor. Which of the following will be a straight line? (A) XA Vs . τ (B) XA Vs ln τ (C) XA /(1 - XA )Vs τ (D) XA (1 - XA )Vs τ

Description : The conversion XA and residence time data are collected for zero order liquid phase reaction in a stirred tank reactor. Which of the following will be a straight line? (A) XA Vs . τ (B) XA Vs ln τ (C) XA /(1 - XA )Vs τ (D) XA (1 - XA )Vs τ

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Half life period of a first order irreversible reaction A → B is (A) k/2 (B) ln k/2 (C) ln 2/k (D) ln 0.5/k

Description : Half life period of a first order irreversible reaction A → B is (A) k/2 (B) ln k/2 (C) ln 2/k (D) ln 0.5/k

Last Answer : (C) ln 2/k

What is the value of ln y (where y = activity co-efficient) for ideal gases? (A) Zero (B) Unity (C) Infinity (D) Negative

Description : What is the value of ln y (where y = activity co-efficient) for ideal gases? (A) Zero (B) Unity (C) Infinity (D) Negative

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The expression for entropy change, ΔS = n Cp. ln (T2/T1), is valid for the __________ of a substance. (A) Simultaneous pressure & temperature change (B) Heating (C) Cooling (D) Both (B) and (C)

Description : The expression for entropy change, ΔS = n Cp. ln (T2/T1), is valid for the __________ of a substance. (A) Simultaneous pressure & temperature change (B) Heating (C) Cooling (D) Both (B) and (C)

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

Find the potential of the function V = 60cos θ/r at the point P(3, 60, 25). a) 20 b) 10 c) 30 d) 60

Description : Find the potential of the function V = 60cos θ/r at the point P(3, 60, 25). a) 20 b) 10 c) 30 d) 60

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Find the potential of V = 60sin θ/r 2 at P(3,60,25) a) 5.774 b) 6.774 c) 7.774 d) 8.774

Description : Find the potential of V = 60sin θ/r 2 at P(3,60,25) a) 5.774 b) 6.774 c) 7.774 d) 8.774

Last Answer : a) 5.774

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

Description : 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

Last Answer : (B) k ∝ e -E/RT

Transition state theory relates the above quantities as (A) k ∝ e -E/RT (B) k ∝ T.e E/RT (C) k ∝ √T (D) k ∝ T 1.5

Description : Transition state theory relates the above quantities as (A) k ∝ e -E/RT (B) k ∝ T.e E/RT (C) k ∝ √T (D) k ∝ T 1.5

Last Answer : (B) k ∝ T.e E/RT