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Question

Chemistry Question on Thermodynamics

Enthalpy of sublimation of iodine is 24  cal  g1 {24 \; cal \; g^{-1}} at 200C200^{\circ}C. If specific heat of I2(s)I_2(s) and I2(vap)I_2(vap) are 0.0550.055 and 0.031calg1K10.031\, cal\, g^{-1}K^{-1} respectively, then enthalpy of sublimation of iodine at 250C250^{\circ}C in calg1cal\, g^{-1} is :

A

2.85

B

11.4

C

5.7

D

22.8

Answer

22.8

Explanation

Solution

I2(s)>I2(g):ΔH1=24  cal/g  at  200C {I_{2(s)} -> I_{2(g)} : \Delta H_1 = 24 \; cal/g \; at \; 200^{\circ} C} ΔH2=ΔH1+ΔCPrxn(T2T1) \Delta H_2 = \Delta H_1 + \Delta C_{P_{rxn}} (T_2-T_1) = 24+(0.0310.055)×5024 + (0.031 -0.055) \times 50 = 241.224-1.2 = 22.8Cal/g22.8\, Cal/g