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JIPMER 2009
Exam
JIPMER
Year
2009
Subject
Physics
Chapter
Thermodynamics

JIPMER 2009 · Physics · Thermodynamics

The work of 146 kJ is performed in order to compress one kilo mole...

The work of 146 kJ is performed in order to compress one kilo mole of a gas adiabatically and in this process the temperature of the gas increases by 7∘C7^{\circ} \mathrm{C}. The gas is (R=8.3 J mol−1 K−1)\left(R=8.3 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)

Options

  1. Adiatomic
  2. Btriatomic
  3. Ca mixture of monoatomic and diatomic
  4. Dmonoatomic

Correct answer

A. diatomic

Step-by-step solution

For adiabatic process, $\begin{array}{cc} & d Q=0 \\ \text{ So, } & d U=-\Delta W \\ \Rightarrow & n C_V d T=+146 \times 10^3 \mathrm{~J} \\ \Rightarrow & \frac{n f R}{2} \times 7=146 \times 10^3 \\ & {[f \rightarrow \text{ Degree\text{ of }\text{ freedom } }]} \\ \Rightarrow & \frac{10^3 \times f \times 8.3 \times 7}{2}=146 \times 10^3 \\ & f=5.02 \approx 5 \end{array} So, it is a diatomic gas.$
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