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QJEEM17Ph8d62: JEE Main 2017 Physics - Class 11 JEEM17Ph8d62 Solution: An ideal gas has molecules with 5 degrees of freedom. The ratio …

An ideal gas has molecules with 5 degrees of freedom. The ratio of specific heats at constant pressure (Cp ) and at constant volume (Cv) is :

Multiple Choice Options

  • A 6
  • B 72{7 \over 2}
  • C 52{5 \over 2}
  • D 75{7 \over 5}

Step-by-Step Verified Solution

For ideal gas molecule with 5 degree of freedom,

Cv = 52{5 \over 2} R and Cp = 72{7 \over 2} R

∴   \therefore\,\,\, CpCv{{{C_p}} \over {{C_v}}} = 72R52R{{{7 \over 2}R} \over {{5 \over 2}R}} = 75{7 \over 5}

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