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Chemistry Question on Thermodynamics

The enthalpy changes for the following processes are listed below : Cl2(g)=2Cl(g),242.3kJmol1Cl_2 (g) = 2Cl (g), 242.3 \,kJ \,mol^{-1} I2(g)=21(g),151.kJmol1I_2 (g) = 21 (g),\, 151. \, kJ\, mol^{-1} ICl(g)=I(g)+Cl(g),211.3kJmol1ICl (g) = I (g) + Cl (g),\, 211.3 \,kJ \,mol^{-1} I2(s)=I2(g).62.76kJmol1I_2(s) = I_2 (g).\, 62.76 \,kJ \,mol^{-1} Given that the standard states for iodine and chlorine are I2I_2 (s) and Cl2Cl_2 (g), the standard enthalpy of formation of IClICl (g) is :

A

14.6KJmol1-14.6 KJ mol^{-1}

B

16.8KJmol1-16.8 KJ mol ^{-1}

C

+16.8KJmol1+16.8 KJ mol ^{-1}

D

+244.8KJmol1+244.8 KJ mol^{-1}

Answer

+16.8KJmol1+16.8 KJ mol ^{-1}

Explanation

Solution

12l2(s)+12Cl2(g)ICl(g)\frac{1}{2} l_{2} \left(s\right)+\frac{1}{2} Cl_{2} \left(g\right) \to ICl \left(g\right) ΔH=[12ΔHsg+12ΔHdiss.(Cl2)+12ΔHdiss(I2)]ΔHICI\Delta H=\left[\frac{1}{2}\Delta H _{s\to g}+\frac{1}{2}\Delta H_{diss.} \left(Cl_{2}\right)+\frac{1}{2}\Delta H_{diss} \left(I_{2}\right)\right]-\Delta H_{ICI} =(12×62.76+12×242.3+12×151.0)211.3=\left(\frac{1}{2}\times62.76+\frac{1}{2}\times242.3+\frac{1}{2}\times151.0\right)-211.3 =228.03211.3=228.03-211.3 ΔH=16.73\Delta H=16.73