(C) The vaporization reaction is: $H_2O(l) \to H_2O(g)$.The change in the number of moles of gas is $\Delta n_g = 1 - 0 = 1$.Using the relation $\Delt

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$37.904 \, kJ \, \text{mol}^{-1}$

(C) The vaporization reaction is: $H_2O(l) \to H_2O(g)$.The change in the number of moles of gas is $\Delta n_g = 1 - 0 = 1$.Using the relation $\Delta H = \Delta U + \Delta n_g RT$:$\Delta U = \Delta H - \Delta n_g RT$Given $\Delta H = 41 \, kJ \, \text{mol}^{-1} = 41000 \, J \, \text{mol}^{-1}$,$R = 8.3 \, J \, \text{mol}^{-1} \, K^{-1}$,and $T = 373 \, K$.$\Delta U = 41000 - (1 \times 8.3 \times 373)$$\Delta U = 41000 - 3095.9 = 37904.1 \, J \, \text{mol}^{-1} = 37.9041 \, kJ \, \text{mol}^{-1}$.

Class 11 Chemistry Thermodynamics Mix Examples-Thermodynamics and Thermochemistry

Medium

Water vapor is an ideal gas. Calculate the internal energy change $(\Delta U)$ when $1 \, \text{mol}$ of water is vaporized at $1 \, \text{bar}$ pressure and $100 \, ^{\circ}C$. (Given: Molar enthalpy of vaporization of water at $1 \, \text{bar}$ and $373 \, K = 41 \, kJ \, \text{mol}^{-1}$ and $R = 8.3 \, J \, \text{mol}^{-1} \, K^{-1}$)

A
$4.100 \, kJ \, \text{mol}^{-1}$
B
$3.7904 \, kJ \, \text{mol}^{-1}$
C
$37.904 \, kJ \, \text{mol}^{-1}$
D
$41.00 \, kJ \, \text{mol}^{-1}$

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Mix Examples-Thermodynamics and Thermochemistry

If $\Delta G$ and $\Delta S$ for the reaction $A_{(g)} \rightarrow B_{(g)} + 2C_{(g)}$ at $2000 \ K$ are $-40 \ kJ \ mol^{-1}$ and $0.22 \ kJ \ K^{-1} \ mol^{-1}$ respectively,the change in internal energy for the same reaction approximately (in $kJ \ mol^{-1}$) is

MediumAP EAMCET 2023

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The energy of combustion per mole of $H_2$,$LPG$,and octane follows the order:

DifficultKVPY 2021

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Which of the following relations are correct?
$(A)$ $\Delta U = q + p \Delta V$
$(B)$ $\Delta G = \Delta H - T \Delta S$
$(C)$ $\Delta S = \frac{q_{rev}}{T}$
$(D)$ $\Delta H = \Delta U - \Delta nRT$
Choose the most appropriate answer from the options given below:

MediumJEE MAIN 2023

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Match the following:

$(a)$ Entropy of vaporization $(1)$ Decreases

$(b)$ $K$ for spontaneous process $(2)$ Always has a $(+)$ value

$(c)$ Crystalline solid state $(3)$ Has minimum entropy

$(d)$ $\Delta U$ for adiabatic expansion of an ideal gas $(4)$ $\frac{\Delta H_{vap}}{T_b}$

Medium

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When $1.0 \ g$ of solid oxalic acid $(H_2C_2O_4)$ is burned in a bomb calorimeter whose heat capacity is $8.75 \ kJ/K$,the temperature increases by $0.312 \ K$. The enthalpy of combustion of oxalic acid at $27 \ ^oC$ is

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$(a)$ Entropy of vaporization	$(1)$ Decreases
$(b)$ $K$ for spontaneous process	$(2)$ Always has a $(+)$ value
$(c)$ Crystalline solid state	$(3)$ Has minimum entropy
$(d)$ $\Delta U$ for adiabatic expansion of an ideal gas	$(4)$ $\frac{\Delta H_{vap}}{T_b}$

Similar Questions

If $\Delta G$ and $\Delta S$ for the reaction $A_{(g)} \rightarrow B_{(g)} + 2C_{(g)}$ at $2000 \ K$ are $-40 \ kJ \ mol^{-1}$ and $0.22 \ kJ \ K^{-1} \ mol^{-1}$ respectively,the change in internal energy for the same reaction approximately (in $kJ \ mol^{-1}$) is

The energy of combustion per mole of $H_2$,$LPG$,and octane follows the order:

Which of the following relations are correct?$(A)$ $\Delta U = q + p \Delta V$$(B)$ $\Delta G = \Delta H - T \Delta S$$(C)$ $\Delta S = \frac{q_{rev}}{T}$$(D)$ $\Delta H = \Delta U - \Delta nRT$Choose the most appropriate answer from the options given below:

Match the following: $(a)$ Entropy of vaporization $(1)$ Decreases $(b)$ $K$ for spontaneous process $(2)$ Always has a $(+)$ value $(c)$ Crystalline solid state $(3)$ Has minimum entropy $(d)$ $\Delta U$ for adiabatic expansion of an ideal gas $(4)$ $\frac{\Delta H_{vap}}{T_b}$

When $1.0 \ g$ of solid oxalic acid $(H_2C_2O_4)$ is burned in a bomb calorimeter whose heat capacity is $8.75 \ kJ/K$,the temperature increases by $0.312 \ K$. The enthalpy of combustion of oxalic acid at $27 \ ^oC$ is

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Which of the following relations are correct?
$(A)$ $\Delta U = q + p \Delta V$
$(B)$ $\Delta G = \Delta H - T \Delta S$
$(C)$ $\Delta S = \frac{q_{rev}}{T}$
$(D)$ $\Delta H = \Delta U - \Delta nRT$
Choose the most appropriate answer from the options given below:

Match the following:

$(a)$ Entropy of vaporization $(1)$ Decreases

$(b)$ $K$ for spontaneous process $(2)$ Always has a $(+)$ value

$(c)$ Crystalline solid state $(3)$ Has minimum entropy

$(d)$ $\Delta U$ for adiabatic expansion of an ideal gas $(4)$ $\frac{\Delta H_{vap}}{T_b}$