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  • One mole of an ideal diatomic gas undergoes a transition from to <img alt="\mathrm{B}" src="https://e

One mole of an ideal diatomic gas undergoes a transition from \mathrm{A} to \mathrm{B} along a path \mathrm{AB}  as shown in the figure.

The change in internal energy of the gas during the transition is

Option: 1

20 \mathrm{~kJ}


Option: 2

-20 \mathrm{~kJ}


Option: 3

20 \mathrm{~J}


Option: 4

-12 \mathrm{~kJ}


Answers (1)

best_answer

Since, \mathrm{\quad \Delta U=n C_{V} d T}

\mathrm{=n\left(\frac{5 R}{2}\right)\left(T_{B}-T_{A}\right)}
\mathrm{=\frac{5 n R}{2}\left(\frac{p_{B} V_{B}}{n R}-\frac{p_{A} V_{A}}{n R}\right)}
\mathrm{=\frac{5}{2}\left(p_{B} V_{B}-p_{A} V_{A}\right)}
\mathrm{=\frac{5}{2}\left(2 \times 10^{3}-5 \times 10^{3} \times 4\right)}
\mathrm{=\frac{5}{2}\left(-8 \times 10^{-3}\right) }
\mathrm{ =-20 \mathrm{~kJ}}

Posted by

avinash.dongre

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