GATE / CSIR NET Thermodynamics MCQ mock test

An ideal gas was subjected to a reversible, adiabatic expansion and then its initial volume was restored by a reversible, isothermal compression. If ‘q’ denotes the heat added to the system and ‘w’ the work done by the system, then

An ideal gas expands by following an equation PVa = constant. In which case does one expect
heating ?
[June-2011]

For a system of constant composition, the pressure (P) is given by :    [Dec.-2011]

The variation of equilibrium constant (K) of a certain reaction with temperature (T) is ln K=3.0+(2.0 × 10⁴)/T given R = 8.3 J k^-1 mol^-1, the values of ΔH° and ΔS° are : [June-2011]

A process is carried out at constant volume and at constant entropy. It will be spontaneous if :
[June-2011]

The chemical potential of component 1 in a solution of binary mixture is μ₁ = μ₁⁰ + RT ln p₁, when p₁ is the partial pressure of component 1 vapour phase. The standard state μ₁⁰ is [June-2011]

For the reaction C₂H₄ (g) + 3O₂ (g) → 2CO₂ (g) + 2H₂O (l), the value of ΔH – ΔU (in KJ) at
300 K and 1 bar is : [Dec. 2011]

Fluorescence lifetime of a molecule in a solution 5 × 10⁹s is  Sum of all non-radioactive rate constant for decay of excited state is 1.2 × 10⁸ s^-1 . The fluorescence quantum yield of molecules is: – (June)

1 mol of CO₂, 1 mol of N₂ and 2 mol of O₂ were mixed at 300 K. The entropy of mixing is-

For the liquid  ⇌  vapour equilibrium of a substance, (dT/dP) at 1 bar and 400 K is 8 × 10^-3 bar K^-1. If the molar volume in the vapour form is 200 L mol^-1 and the molar volume in the liquid form is negligible, the molar enthalpy of vapourization is (1.0 bar L = 100 J).

Indicate which one of the following relations is not correct ?  [June-2012] (NEGATIVE MARKING)