For the hypothetical reaction A-2-g- - -B-2-g-2AB-g-rG-and -r S-are 20 -kJ-mol and -20 JK-1- mol-1 respectively at 200 K- If -r C-p is 20- JK-1- mol-1 then -r H-at 400 K is20 kJ-mol-7-98 kJ-mol-28 kJ-mol-None of these-

The correct option is A 20 kJ/mol Δ H_200^∘ = Δ H_200^∘ TΔ S^∘_200 Δ H_200^∘ = 20 4 = 16kJ/mol Δ H_400^∘ = Δ H_r_1^∘ + Δ C_p(T_2 T_1) Δ H_400^∘ = Δ H_200 ...

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Byju's Answer

Standard XII

Chemistry

Molar and Specific Heat Capacity

For the hypot...

Question

For the hypothetical reaction $A_{2} (g) + B_{2} (g) ⇌ 2 A B (g) Δ_{r} G^{\circ}$ and $Δ_{r} S^{\circ}$ are $20 k J / m o l$ and $- 20 J K^{- 1} m o l^{- 1}$ respectively at $200 K$ . If $Δ_{r} C^{p}$ is $20 J K^{- 1} m o l^{- 1}$ then $Δ_{r} H^{\circ}$ at $400 K$ is

20 kJ/mol

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7.98 kJ/mol

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28 kJ/mol

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None of these

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Solution

The correct option is A
20 kJ/mol

$Δ H_{200}^{\circ} = Δ H_{200}^{\circ} - T Δ S_{200}^{\circ}$

$Δ H_{200}^{\circ} = 20 - 4 = 16 k J / m o l$

$Δ H_{400}^{\circ} = Δ H_{r_{1}}^{\circ} + Δ C_{p} (T_{2} - T_{1})$

$Δ H_{400}^{\circ} = Δ H_{200}^{\circ} + \frac{20 \times 200}{1000} k J / m o l = 16 + 4 = 20 k J / m o l$

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For the hypothetical reaction $A_{2} (g) + B_{2} (g) ⇌ 2 A B (g) Δ_{r} G^{\circ}$ and $Δ_{r} S^{\circ}$ are $20 k J / m o l$ and $- 20 J K^{- 1} m o l^{- 1}$ respectively at $200 K$ . If $Δ_{r} C^{p}$ is $20 J K^{- 1} m o l^{- 1}$ then $Δ_{r} H^{\circ}$ at $400 K$ is