For the hypothetical reaction A2g - B2g - 2ABg -rG- and -r S- are 20 kJ-mol and -20 JK-1 mol-1 respectively at 200 K- If -r Cp is 20 JK-1 mol-1 then -r H- at 400 K is

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^∘ + 20 × 200/1000kJ/mol = 16 + ...

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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 A2(g) + B2(g) ⇌ 2AB(g) ΔrG∘ and ΔrS∘ are 20 kJ/mol and −20JK−1 mol−1 respectively at 200K. If ΔrCp is 20 JK−1 mol−1 then ΔrH∘ at 400K is

The correct option is A 20 kJ/mol ΔH∘200 = ΔH∘200 − TΔS∘200 ΔH∘200 = 20 − 4 = 16kJ/mol ΔH∘400 = ΔH∘r1 + ΔCp(T2 − T1) ΔH∘400 = ΔH∘200 + 20 × 2001000kJ/mol = 16 + 4 = 20kJ/mol

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