Heat And Thermodynamics Ques 95

  1. Two non-reactive monoatomic ideal gases have their atomic masses in the ratio $2: 3$. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is $4: 3$. The ratio of their densities is

(2013 Adv.)

(a) $1: 4$

(b) $1: 2$

(c) $6: 9$

(d) $8: 9$

Show Answer

Answer:

Correct Answer: 95.(d)

Solution:

Formula:

Ideal gas law:

  1. $\rho=\frac{p M}{R T} \quad \therefore \quad \rho \propto p M$

or $\quad \frac{\rho _1}{\rho _2}=\left(\frac{p _1}{p _2}\right)\left(\frac{M _1}{M _2}\right)=\left(\frac{2}{3}\right)\left(\frac{4}{3}\right)=\frac{8}{9}$



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