An ideal gas at 27- C is compressed adiabatically to 8-27 of its original volume- If Y -5-3- then the rise in temperature isA- 225 KB- 405 KC- 450 KD- 375 K

The correct option is D 375 K For an adiabatic process TV^γ 1= constant ∴T_1/T_2=[V_2/V_1]^γ 1 On substitution of the given values in the above equation the r ...

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Standard XII

Physics

Heat Capacity

An ideal gas ...

Question

An ideal gas at $27^{\circ} C$ is compressed adiabatically to $\frac{8}{27}$ of its original volume. If $γ = \frac{5}{3},$ then the rise in temperature is

450 K

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375 K

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225 K

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405 K

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Solution

The correct option is B 375 K
For an adiabatic process $T V^{γ - 1} =$ constant $∴ \frac{T_{1}}{T_{2}} =$ ${[\frac{V_{2}}{V_{1}}]}^{γ - 1}$

On substitution of the given values in the above equation the rise in temperature will be 375K

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An ideal gas at 27∘C is compressed adiabatically to 827 of its original volume. If γ=53, then the rise in temperature is

The correct option is B 375 K For an adiabatic process TVγ−1= constant ∴T1T2=[V2V1]γ−1 On substitution of the given values in the above equation the rise in temperature will be 375K

An ideal gas at $27^{\circ} C$ is compressed adiabatically to $\frac{8}{27}$ of its original volume. If $γ = \frac{5}{3},$ then the rise in temperature is

The correct option is B 375 K
For an adiabatic process $T V^{γ - 1} =$ constant $∴ \frac{T_{1}}{T_{2}} =$ ${[\frac{V_{2}}{V_{1}}]}^{γ - 1}$

On substitution of the given values in the above equation the rise in temperature will be 375K