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JIPMER 2019
Exam
JIPMER
Year
2019
Subject
Chemistry
Chapter
Thermodynamics (C)

JIPMER 2019 · Chemistry · Thermodynamics (C)

What is the value of γ for mono atomic gas (ideal gas)?

What is the value of γ\gamma for mono atomic gas (ideal gas)?

Options

  1. A75\frac{7}{5}
  2. B43\frac{4}{3}
  3. C52\frac{5}{2}
  4. DNone of these

Correct answer

D. None of these

Step-by-step solution

Key Idea γ=CP/CV\gamma=\mathrm{C}_{\mathrm{P}} / \mathrm{C}_{\mathrm{V}} where, CP\mathrm{C}_{\mathrm{P}} and Cv\mathrm{C}_{\mathrm{v}} are heat capacities at constant pressure and volume, respectively. For monoatomic gas, CP=5cal,CV=3cal\mathrm{C}_{\mathrm{P}}=5 \mathrm{cal}, \mathrm{C}_{\mathrm{V}}=3 \mathrm{cal} γ=CPCV=53=1.67\gamma=\frac{\mathrm{C}_{\mathrm{P}}}{\mathrm{C}_{\mathrm{V}}}=\frac{5}{3}=1.67 For diatomic gas, CP=7cal,CV=5cal\mathrm{C}_{\mathrm{P}}=7 \mathrm{cal}, \mathrm{C}_{\mathrm{V}}=5 \mathrm{cal} V=6cal_{\mathrm{V}}=6 \mathrm{cal} γ=CPCV=86=1.33\gamma=\frac{C_P}{C_V}=\frac{8}{6}=1.33
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