Question

sixty percent of given sample of gas when raised to high temperature dissociates into atoms. Ratio of its initial heat capacity(at constant volume) to the final heat capacity (at constant volume) will be
options are
a) 5/4
b) 25/28
c) 10/7
d) 12/7

Answer 1

Ratio of its initial heat capacity(at constant volume) to the final heat capacity (at constant volume) will be 10/7.

Option (C) is correct.

Explanation:

n ------> O2 ------> 2O

n ----> 0.6 n ------> 2n x 0.6

0.4 n -----> 0.4 n

Cv [(0.6)2n + 0.4n ] = 0.6 x 2n x Cv1 x + 0.4

Cv = 1.2 x 3/2 x R + 0.4 x 5/2 x R ÷ 1.6

Cv =  ( 1.8 + 1 ) R / 1.6 = 7 / 4 R     [ 5/2 R ]

= 5 / 2 ÷ 7 / 4

= 10/7

Hence Ratio of its initial heat capacity(at constant volume) to the final heat capacity (at constant volume) will be 10/7.

Also learn more

Molar heat capacity of aluminium is 25 J K-1 mol-1. The heat necessary to raise the temperature of 54 g of aluminium (Atomic mass 27 g mol-1) from 30°C to 50°C is

(a) 1.51 kJ

(6) 0.5 kJ

(c) 1.0 kJ

(d) 2.5 kJ

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