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TS EAMCET · Physics · Thermodynamics

Five moles of hydrogen initially at STP is compressed adiabatically so that its temperature becomes \(673 \mathrm{~K}\). The increase in internal energy of the gas, in kilo joule is \((R=8.3 \mathrm{~J} / \mathrm{mol}-\mathrm{K} ; \gamma=1.4\) for diatomic gas \()\)

  1. A \(80.5\)
  2. B \(21.55\)
  3. C \(41.50\)
  4. D \(65.55\)
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Answer & Solution

Correct Answer

(C) \(41.50\)

Step-by-step Solution

Detailed explanation

Work done by an ideal gas is adiabatic expansion \[ \begin{aligned} & d U=n \frac{R}{\gamma-1} d T \\ & d U=n \frac{R}{\gamma-1}\left(T_2-T_1\right) \end{aligned} \] Given…
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