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NEET · Physics · STD 11 - 12 . kinetic theory of gases

A given sample of an ideal gas occupies a volume \(V\) at a pressure \(P\) and absolute temperature \(T.\) The mass of each molecule of the gas is \(m.\) Which of the following gives the density of the gas \(?\) 

  1. A \(\frac{P}{{kTV}}\)
  2. B \(mKT\)
  3. C \(\;\frac{P}{{kT}}\)
  4. D \(\;\frac{{Pm}}{{kT}}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\;\frac{{Pm}}{{kT}}\)

Step-by-step Solution

Detailed explanation

As \(P V=n R T\) or \(n=\frac{P V}{R T}=\frac{\text { mass }}{\text { molar mass }}\)                                                                     \(. . .(i)\)
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