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TS EAMCET · Physics · Kinetic Theory of Gases

In a cubic container of inner side length \(10 \mathrm{~cm}\), nitrogen gas of \(100 \mathrm{kPa}\) pressure is maintained at \(300 \mathrm{~K}\). If the pressure inside the gas is increased to \(300 \mathrm{kPa}\) by adding oxygen gas, the ratio of number of \(\mathrm{N}_2\) to \(\mathrm{O}_2\) molecules in the container is

  1. A 0.5
  2. B 3
  3. C 1.5
  4. D 0.33
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Answer & Solution

Correct Answer

(A) 0.5

Step-by-step Solution

Detailed explanation

As \(V\) and \(T\) are same for both gases, we can write \[ \left.\begin{array}{rl} p_1 V & =n_1 R T \\ p_2 V & =n_2 R T \end{array}\right\} \text { where } p_1 \text { and } p_2 \text { are partial } \] pressures of the gases.…
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