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AP EAMCET · PHYSICS · Kinetic Theory of Gases

A vessel has 6 g of oxygen at pressure p and temperature 400 K. A small hole is made in it so that oxygen leaks out.How much oxygen
has leaked out if the final pressure is \(\frac{p}{2}\) and final temperature is 300 K?

  1. A 5 g
  2. B 4 g
  3. C 2 g
  4. D 3 g
Verified Solution

Answer & Solution

Correct Answer

(C) 2 g

Step-by-step Solution

Detailed explanation

Given, initial pressure, \(p_i=p\) Final pressure, \(p_f=\frac{p}{2}\) Initial temperature \(T=400 \mathrm{~K}\) Final temperature \(T^{\prime}=300 \mathrm{~K}\) Initial mass of gas, \(m=6 \mathrm{~g}\) From ideal gas equation, we get…