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

Step-by-step solution

T V γ − 1 = constant 300 V 5 3 − 1 = T 2 8 V 27 5 3 − 1 300 = T 2 8 27 2 3 300 = T 2 4 9 ⇒ T 2 = 675 K Rise in temperature = ( 675 − 300 ) K = 375 K