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Question: The heat of formation of HCl at 348 K from the following data, will be 0.5 H2(g) + 0.5 Cl2 (g) \(\l...

The heat of formation of HCl at 348 K from the following data, will be

0.5 H2(g) + 0.5 Cl2 (g) \longrightarrowHCl Δ\DeltaH0298 = – 22060 cal

The mean heat capacities over this temperature range are,

H2(g), CP = 6.82 calmol–1 K–1 ; Cl2 (g), Cp = 7.71 calmol–1 K–1 ; HCl (g), CP = 6.81 calmol–1 K–1

A

– 20095 cal

B

– 32758 cal

C

– 37725 cal

D

– 22083 cal

Answer

– 22083 cal

Explanation

Solution

Δ\DeltaCP = CP (HCl) – 12\frac{1}{2}CP (H2) – 12\frac{1}{2}Cp (Cl2) = 6.81 – 12\frac{1}{2} × 6.82 – 12\frac{1}{2} × 7.71

= 6.81 – 3.41 – 3.855 = – 0.45

Δ\DeltaH348 = Δ\DeltaH298 + (Δ\DeltaCP) (Δ\DeltaT) = – 22060 + (– 0.45) × 50 = – 22082.5 cal