Heat And Thermodynamics Ques 145

  1. When an ideal diatomic gas is heated at constant pressure the fraction of the heat energy supplied which increases the internal energy of the gas is

(1990, 2M)

(a) $\frac{2}{5}$

(b) $\frac{3}{5}$

(c) $\frac{3}{7}$

(d) $\frac{5}{7}$

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Solution:

Formula:

Isobaric process :

  1. The desired fraction is

$f=\frac{\Delta U}{\Delta Q}=\frac{n C _V \Delta T}{n C _p \Delta T}=\frac{C _V}{C _p}=\frac{1}{\gamma}$ or $f=\frac{5}{7} \quad\left(\right.$ as $\left.\gamma=\frac{7}{5}\right)$



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