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  4. An ideal gas mixture filled inside a balloon expands according to the relation PV2 / 3= constant. The temperature inside the balloon is

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Q. An ideal gas mixture filled inside a balloon expands according to the relation $PV^{2 / 3}=$ constant. The temperature inside the balloon is

NTA AbhyasNTA Abhyas 2020Thermodynamics

Solution:

For the process with ideal gas $ \, PV^{n}=$ constant. If expansion happens with $n > 1 $ then only the temperature decreases. But here $n=\frac{2}{3}$ , so here $n < 1$ so temperature must increase.