QJEEM22Ph0ec0: JEE Main 2022 Physics - Class 11 JEEM22Ph0ec0 Solution: The pressure P 1 and density d 1 of diatomic gas ( γ = 7 5 )…

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QJEEM22Ph0ec0: JEE Main 2022 Physics - Class 11 JEEM22Ph0ec0 Solution: The pressure P 1 and density d 1 of diatomic gas ( γ = 7 5 )…

The pressure $P_{1}$ and density $d_{1}$ of diatomic gas $(γ = \frac{7}{5})$ changes suddenly to $P_{2} (> P_{1})$ and $d_{2}$ respectively during an adiabatic process. The temperature of the gas increases and becomes ________ times of its initial temperature. (given $\frac{d_{2}}{d_{1}} = 32$ )

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Accepted Answer

$P_{1} V_{1}^{γ} = P_{2} V_{2}^{2}$

$\frac{P_{1}}{d_{1}^{γ}} = \frac{P_{2}}{d_{2}^{γ}}$

$\frac{d_{1} T_{1}}{d_{1}^{γ}} = \frac{d_{2} T_{2}}{d_{2}^{γ}}$

$T_{2} = {(\frac{d_{2}}{d_{1}})}^{γ - 1} T_{1}$

$= (32)^{\frac{2}{5}} T_{1}$

$T_{2} = 4 T_{1}$

QJEEM22Ph0ec0: JEE Main 2022 Physics - Class 11 JEEM22Ph0ec0 Solution: The pressure P 1 and density d 1 of diatomic gas ( γ = 7 5 )…

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