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The molar heat capacity (Cp) of CD2O is 10 cals at 1000 K. The change in entropy associated with cooling of 32 g of CD2O vapour from 1000 K to 100 K at constant pressure will be: (D = deuterium, atomic mass = 2 u)

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The molar heat capacity (Cp) of CD2O is 10 cals at 1000 K. The change in entropy associated with cooling of 32 g of CD2O vapour from 1000 K to 100 K at constant pressure will be: (D = deuterium, atomic mass = 2 u)

(a) 23.03 cal deg–1

(b) -23.03 cal deg–1

(c) 2.303 cal deg–1

(d) -2.303 cal deg–1

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Correct answer: (b) -23.03 cal deg–1

Explanation:

Given, Cp = 10 cals at 1000 K

T1 = 1000 K. T2 = 100 K

m = 32 g

ΔS = ?

at constant pressure

ΔS = Cp ln\(\frac{T_2}{T_1}\)

= 2.303 x Cp log\(\frac{T_2}{T_1}\)

= 2.303 x 10 log \(\frac{100}{1000}\)

= -23.03 cal deg–1

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