The work done in ergs for the reversible expansion of one mole of an ideal gas from a volume of 10 litres to 20 litres at 25°C is 

(1) -$2.303\times 298\times 0.082\log 2$

(2) -$298\times {10}^7\times 8.31\times 2.303\log 2$

(3)- $2.303\times 298\times 0.082\log 0.5$

(4) $8.31\times {10}^7\times 298-2.303\log 0.5$

An ideal gas expands in volume from 1 × 10^–3 m³ to 1 × 10^–2 m³ at 300 K against a constant pressure of 1 × 10⁵ Nm^–2. The work done is [AIEEE 2004]

(1) 270 kJ

(2) –900 kJ

(3) –900 J

(4) 900 kJ

Mixing of non-reacting gases is generally accompanied by

(1) Decrease in entropy

(2) Increase in entropy

(3) Change in enthalpy

(4) Change in free energy

An irreversible process occuring isothermally in an isolated system leads to

(1) Zero entropy

(2) An increase in the total entropy of the system

(3) A decrease in the total entropy of the system

(4) None of these

Enthalpy and entropy change for a chemical reaction are –2.5 × 10³ cal and 7.4 cal deg^–1 respectively. Reaction at 298 K is -

(1) Spontaneous

(2) Reversible

(3) Irreversible

(4) Non-spontaneous

The entropy changed involved in the conversion of 1 mole of liquid water at 373 K to vapour at the same temperature will be $[\Delta H_{\text{vap}}=2.257kJ/gm]$ [MP PET 2002]

(1) 0.119 kJ

(2) 0.109 kJ

(3) 0.129 kJ

(4) 0.120 kJ

When a liquid boils, there is [JIPMER 2002]

(1) An increase in entropy

(2) A decrease in entropy

(3) An increase in heat of vaporization

(4) An increase in free energy

For a carnot engine, the source is at 500 K and the sink at 300 K. What is efficiency of this engine

(1) 0.2

(2) 0.4

(3) 0.6

(4) 0.3

A solution of 500 ml of 0.2 M KOH and 500 ml of 0.2 M HCl is mixed and stirred; the rise in temperature is T₁. The experiment is repeated using 250 ml each of solution, the temperature raised is T₂. Which of the following is true .

(1) T₁ = T₂

(2) T₁ = 2T₂

(3) T₁ = 4T₂

(4) T₂ = 9T₁

The heat of formation of HCl(g) from the reaction

H₂(g) + Cl₂(g) ; $∆H = -44 kcal$ is

1. +44 kcal

2. -44 kcal

3. +22 kcal

4. -22 kcal