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Question: The enthalpy changes for the following processes are listed below: Cl2(g) \(\rightarrow\) 2Cl(g); 2...

The enthalpy changes for the following processes are listed below:

Cl2(g) \rightarrow 2Cl(g); 242.3 kJ mol–1 ; I2(g) \rightarrow 2I(g); 151.0 kJ mol–1

ICl(g) \rightarrow I(g) + Cl(g); 211.3 kJ mol–1 ; I2(s) \rightarrow I2(g); 62.76 kJ mol–1

Given that the standard state for iodine and chlorine are I2(s) and Cl2(g), the standard enthalpy of formation for ICl(g) is

A

-16.8 kJ mol–1

B

+16.8 kJ mol–1

C

+244.8 kJ mol–1

D

-14.6 kJ mol–1

Answer

+16.8 kJ mol–1

Explanation

Solution

12\frac{1}{2}I2(s) + 12\frac{1}{2}CI2(g) \rightarrow ICI(g) Δ\DeltaHf, ICI(g) =

[12ΔHI2(s)I2(g)+12ΔHII+12ΔHClCl]\left\lbrack \frac{1}{2}\Delta H_{I_{2}}(s) \rightarrow I_{2}(g) + \frac{1}{2}\Delta H_{I - I} + \frac{1}{2}\Delta H_{Cl - Cl} \right\rbrack

[ΔHlCl]\left\lbrack \Delta H_{l - Cl} \right\rbrack

= [12×62.76+12151.0+12×242.3]\left\lbrack \frac{1}{2} \times 62.76 + \frac{1}{2}151.0 + \frac{1}{2} \times 242.3 \right\rbrack[211.3]\lbrack 211.3\rbrack = 16.73 kJ/mol.