An ideal monoatomic gas of volume V is adiabatically expanded to a volume 3 V at 27 ° C . The final temperature in Kelvins is (use C P C V = 5 3 )

Question

An ideal monoatomic gas of volume V is adiabatically expanded to a volume 3 V at 27 ° C . The final temperature in Kelvins is (use C P C V = 5 3 ), 144 . 2, 170 . 3, 50 . 4, 100 . 2

MARKS App · Accepted Answer

From equation of state between volume and temperature for adiabatic process is given by, T V γ - 1 = c ⇒ T 1 V 1 γ - 1 = T 2 V 2 γ - 1 ⇒ T 2 T 1 = V 1 V 2 γ - 1 ⇒ T 2 300 = V 3 V 5 3 - 1 ⇒ T 2 300 = 1 3 5 3 - 1 ⇒ T 2 = 300 1 3 5 3 - 1 = 144 . 2 K

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