Question

2. p1V1γ= p2V2γ is only correct when (a) a perfect gas undergoes an adiabatic process.        (b) a perfect gas undergoes a reversible process. (c) a perfect gas undergoes a reversible adiabatic process.     (d) a real gas undergoes a reversible adiabatic process.     
4. If a simple (meaning one-component, single phase) and homogeneous closed system undergoes an isobaric change with expansion work only, how Gibbs free energy varies with temperature?      (a) (G/T)p> 0        (b) (G/T)p< 0      (c) (G/T)p= 0        (d) Depending on the specific systems.   5. (1) The chemical potential of a solution is equal to the sum of the chemical potentials of all the components. (2) For a pure component, its chemical potential is equal to its molar Gibbs function. (3) All the components in an ideal-dilute solution obey Henry’s law in all the concentration range. (4) All the components in an ideal solution obey Raoult’s law in all the concentration range. The right statements above are: (a) (1), (2)        (b) (2), (3)        (c) (2), (4)        (d) (3), (4) 6. At constant temperature and pressure, in the homogeneous phase system formed by A and B, if the partial molar volume of A increases with the change of its concentration, then, the partial molar volume of B will be （a） increased.     （b） decreased.    （c） unchanged.    （d） uncertain.
9. Which of the following K is the standard equilibrium constant?   (a) Ko   (b)Kp (c)Kn   (d)Kx  
10. The chemical potential of component B in an ideal liquid-phase mixture can be expressed as (   ).   

Answer 1

Ans 2

Adiabatic process in which no heat transfer takes place.

Q = 0

For an adiabatic process, from the first law of thermodynamics

Q = dU - dW

dU = dW

CvdT = - PdV

From the ideal gas equation

T = PV/R

Differentiate it

dT = VdP + PdV/R

Cv/R (VdP + PdV) = - PdV

Rearrange it

dP/P = - (Cv + R)/Cp ( dV/V)

ln P = - γ lnV

ln PV^γ = constant

PV^γ = constant

P1V1^γ= P2V2^γ

Concepts of ideal gas and adiabatic process used to derive the relation.

This equation can be used when a perfect gas undergoes an adiabatic process.

Option A is the correct answer