An ideal gas at 27 ° C is compressed adiabatically to 8 27 of its original volume. If γ = 5 3 , then the rise in temperature is

Question

An ideal gas at 27 ° C is compressed adiabatically to 8 27 of its original volume. If γ = 5 3 , then the rise in temperature is, 450 K, 375 K, 225 K, 405 K

MARKS App · Accepted Answer

For an adiabatic process TV γ - 1 = constant . Therefore, T 1 T 2 = V 2 V 1 γ - 1 ⇒ T 2 = T 1 V 1 V 2 γ - 1 = 3 0 0 2 7 8 5 / 3 - 1 = 3 0 0 2 7 8 2 / 3 = 6 7 5 K ⇒ Δ T = 6 7 5 - 3 0 0 = 3 7 5 K

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