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NEET 2016 (Phase 2) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from NEET 2016 (Phase 2)

Q72NEET 2016 · PHASE 2Easy

Gas Laws & Ideal Gas Equation

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?

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Answer: (b)

  1. P=nkBTP = nk_BT, where nn = number of molecules per unit volume, so n=PkTn = \dfrac{P}{kT}.
  2. Density ρ=nm=PmkT\rho = nm = \dfrac{Pm}{kT}
  3. So the answer is (b) PmkT\dfrac{Pm}{kT}.
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