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WBJEE · Physics · Kinetic Theory of Gases

If pressure of real gas \(\mathrm{O}_{2}\) in a container is given by \(\mathrm{P}=\frac{\mathrm{RT}}{2 \mathrm{~V}-\mathrm{b}}-\frac{\mathrm{a}}{4 \mathrm{~b}^{2}}\), then the mass of the gas in the container is

  1. A \(32 \mathrm{gm}\)
  2. B \(16 \mathrm{gm}\)
  3. C \(4 \mathrm{gm}\)
  4. D \(64 \mathrm{gm}\)
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Answer & Solution

Correct Answer

(B) \(16 \mathrm{gm}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{P}=\frac{\mathrm{RT}}{2 \mathrm{~V}-\mathrm{b}}-\frac{\mathrm{a}}{4 \mathrm{~b}^{2}}\) \(\left[\mathrm{P}+\frac{\mathrm{a}}{4 \mathrm{~b}^{2}}\right]=\frac{\mathrm{RT}}{2 \mathrm{~V}-\mathrm{b}}\)…
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