A gas is allowed to expand in a well insulated container against a constant external pressure of 2.5 atm from an initial volume of 2.50 L to a final volume of 4.50 L. The change in internal energy $∆$U of the gas in joules will be

(1) 1136.25 J

(2) - 500 J

(3) - 505 J

(4) + 515 J

For a sample of perfect gas when its pressure is changed isothermally from p_i to p_f, the entropy change is given by

(1) $∆$S = nRln(p_f/p_i)               

(2) $∆$S = nRln(p_i/p_f)

(3) $∆$S = nRTln(p_f/p_i)             

(4) $∆$S = RTln(p_f/p_i)

The correct thermodynamic conditions for the spontaneous reaction at all temperatures is

$\left(\mathrm{a}\right) ∆\mathrm{H}>0 \mathrm{and} ∆\mathrm{S}<0$
$\left(\mathrm{b}\right) ∆\mathrm{H}<0 \mathrm{and} ∆\mathrm{S}>0$
$\left(\mathrm{c}\right) ∆\mathrm{H}<0 \mathrm{and} ∆\mathrm{S}<0$
$\left(\mathrm{d}\right) ∆\mathrm{H}<0 \mathrm{and} ∆\mathrm{S}=0$

The heat of combustion of carbon to CO₂ is -393.5 kJ/mol. The heat released upon the

formation of 35.2 g of CO₂ from carbon and oxygen gas is

1. -315 kJ               

2. +315 kJ             

3. -630 kJ                 

4. -3.15 kJ

For the reaction, X₂O₄(l) $\to$2XO₂(g)

$∆$U = 2.1 kcal, $∆$S = 20 cal K^-1 at 300 K. Hence, $∆$G is

1. 2.7 kcal

2. -2.7 kcal

3. 9.3 kcal

4. -9.3 kcal

The standard enthalpy of vaporisation $∆$_vapH$°$ for water at 100$°$C is 40.66 kJ mol^-1. The

internal energy of vaporisation of water at 100$°$C (in kJ mol^-1) is- 

(Assume water vapour to behave like an ideal gas)

1. +37.56                   

2. -43.76

3. +43.76                   

4. +40.66

If the enthalpy change for the transition of liquid water to steam is 30 kJ mol^-1 at 27°C,

the entropy change for the process would be

1. 1.0 J mol^-1 K^-1

2. 0.1 J mol^-1K^-1

3. 100 J mol^-1K^-1

4. 10 J mol^-1K^-1

 Which of the following options correctly describes the free expansion of an ideal gas under adiabatic conditions?
1. \(\mathrm{q} \neq 0, \quad \Delta \mathrm{T}=0, \quad \mathrm{~W}=0\)
2. \(\mathrm{q}=0, \quad \Delta \mathrm{T}=0, \quad \mathrm{~W}=0\)
3. \(\mathrm{q}=0, \quad \Delta \mathrm{T}<0, \quad \mathrm{~W} \neq 0\)
4. \(\mathrm{q}=0, \quad \Delta \mathrm{T} \neq 0, \quad \mathrm{~W}=0\)

Enthalpy change for the reaction,

 4H(g) $\to$2H₂(g) is -869.6 kJ

The dissociation energy of H-H bond is

1. -869.6 kJ                 

2. + 434.8 kJ

3. +217.4 kJ                 

4. -434.8 kJ

Given the following bond energies:

Based on the data given above, enthalpy change for the following reaction will be:
 

1. 1523.6 kJ mol^-1

2. -243.6 kJ mol^-1

3. -120.0 kJ mol^-1

4. 553.0 kJ mol^-1