Given below are two statements:
Assertion (A): The change in internal energy, ΔE, for the vaporisation of 1 mol of water at 1 atm and 373 K is zero.
Reason (R): For every isothermal process, ΔE = 0.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True, but (R) is not the correct explanation of (A).
3. (A) is True and (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Enthalpy & Internal energy |
Level 4: Below 35%
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Choose the incorrect statement from the following :
1.  In a reversible process, the system and surroundings are always in equilibrium with each other.
2.  Work done in free expansion > 0.
3. For adiabatic change, \(\Delta q \) = 0 .
4.  For a process carried at constant pressure, \(\Delta H = q_p \)
Subtopic:  First Law of Thermodynamics | Enthalpy & Internal energy |
 86%
Level 1: 80%+
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Which of the following reactions has the least difference between the change in enthalpy (∆H) and the change in internal energy (∆E) at a given temperature?

1. \(2 \mathrm{SO}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{SO}_3(\mathrm{~g})\)
2. \(\mathrm{CaCO}_3(s) \rightarrow \mathrm{CaO}(s)+\mathrm{CO}_2(g)\)
3. \(\mathrm{NH}_4 \mathrm{SH} (s) ~~\rightarrow ~\mathrm{NH}_3(g)+\mathrm{H}_2 \mathrm{~S}(g)\)
4. \(2 \mathrm{NH}_3 (g) ~\rightarrow ~\mathrm{N}_2(g)+3 \mathrm{H}_2(g)\)

Subtopic:  Enthalpy & Internal energy |
 74%
Level 2: 60%+
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The standard enthalpy of vaporization ∆vapHo for water at 100 oC is 40.66 kJ mol–1. The internal energy of vaporization of water at 100 oC (in kJ mol–1) is: 
(Assume water vapour behaves like an ideal gas.)

1. +37.56 2. –43.76
3. +43.76 4. +40.66
Subtopic:  Enthalpy & Internal energy |
 61%
Level 2: 60%+
AIPMT - 2012
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Choose the correct statement if \(\Delta V\) is zero in the free expansion process. 

1. \(\Delta U=q_p\)
2. \(\Delta U=q_v \)
3. W<0
4. W>0
Subtopic:  Enthalpy & Internal energy |
 76%
Level 2: 60%+
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What is the correct relationship between changes in enthalpy and internal energy within the following options?
1. \(\mathrm{\Delta {H}+\Delta {U}=\Delta {nR}} \)
2. \(\mathrm{\Delta {H}=\Delta {U -\Delta n_gRT}}\)
3. \(\mathrm{\Delta {H}=\Delta {U+\Delta n_gRT }}\)
4. \(\mathrm{\Delta {H} -\Delta {U=-\Delta n_gRT}}\)
Subtopic:  Enthalpy & Internal energy |
 84%
Level 1: 80%+
NEET - 2023
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Consider the following reaction:
\(\mathrm{A}_2(\mathrm{~g})+3 \mathrm{~B}_2(\mathrm{~g}) \rightarrow 2 \mathrm{AB}_3(\mathrm{~g})\)
If at 300K, the enthalpy change for the above reaction is +15 kJ, then the internal energy change is:
1. 19.98 K J  2. 200 J
3. 1999 J  4. 1.9988 kJ
Subtopic:  Enthalpy & Internal energy |
 77%
Level 2: 60%+
NEET - 2024
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The standard internal energy change of formation, ΔfU°, of CH₄(g) at a certain temperature is –393 kJ mol⁻¹.
Find the value of the standard enthalpy of formation (ΔfH°).

1. Zero
2. Less than ΔfU°
3. Greater than ΔfU°
4. Equal to ΔfU°
Subtopic:  Enthalpy & Internal energy |
 64%
Level 2: 60%+
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A sample of 54.0g of methanol is heated from 25.0°C to 35.0°C. The amount of heat required is: (Given: The specific heat capacity of methanol is 2.48 J g–1 K–1)
1. 0.00459 J 2. 0.0747 J
3. 1340 J 4. 4690 J
Subtopic:  Enthalpy & Internal energy |
 79%
Level 2: 60%+
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If water vapour is assumed to be a perfect gas, molar enthalpy change for vapourisation of 1 mol of water at 1 bar and 100°C is 41kJ mol–1. The internal energy change, when 1 mol of water is vapourised at 1 bar pressure and 100°C is:

1. 35.5 kJ mol–1 2. 37.9 kJ mol–1
3. 41 kJ mol–1 4. 44.2 kJ mol–1
Subtopic:  Enthalpy & Internal energy |
 59%
Level 3: 35%-60%
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