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NEET 2015
Exam
NEET
Year
2015
Subject
Physics
Chapter
Kinetic Theory of Gases

NEET 2015 · Physics · Kinetic Theory of Gases

4.0g of a gas occupies 22.4 liters at NTP. The specific heat...

4.0g4.0g of a gas occupies 22.422.4 liters at NTP. The specific heat capacity of the gas at constant volume is 5.0JK−1mol−15.0J{K}^{- 1}mo{l}^{- 1} . If the speed of sound in this gas at NTP is 952ms−1952m{s}^{- 1} , then the heat capacity at constant pressure is

(Take gas constant R=8.3JK−1mol−1R = 8.3J{K}^{- 1}mo{l}^{- 1} )

Options

  1. A7.5JK−1mol−17.5J{K}^{- 1}mo{l}^{- 1}
  2. B7.0JK−1mol−17.0J{K}^{- 1}mo{l}^{- 1}
  3. C8.5JK−1mol−18.5J{K}^{- 1}mo{l}^{- 1}
  4. D8.0JK−1mol−18.0J{K}^{- 1}mo{l}^{- 1}

Correct answer

D. 8.0JK−1mol−18.0J{K}^{- 1}mo{l}^{- 1}

Step-by-step solution

No. of mole of gas = 1 so molar mass = 4g/mole

v=\gammaRTm⇒952×952=γ×8.3×2734×10−3⇒γ=1.6=1610=85v = \sqrt{\dfrac{\gammaRT}{m}} ⇒ 952 \times 952 = \dfrac{\gamma \times 8 .3 \times 273}{4 \times {10}^{- 3}} ⇒ \gamma = 1.6 = \dfrac{16}{10} = \dfrac{8}{5}

CP=8.0JK−1mol−1{C}_{P} = 8.0J{K}^{- 1}{mol}^{- 1}

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