A mass of diatomic gas ( = 1.4) at a pressure of 2 atmospheres is compressed adiabatically so that its temperature rises from 27 to 927 . The pressure of the gas in the final state is
- 8 atm
- 28 atm
- 68.7 atm
- 256 atm
Answer
(4) 256 atm
Solution
T1 = 27 + 273 = 300 K, T2 = 927 + 273 = 1200 K
For an adiabatic process, P1- T = constant
P2P1 = ( T2T1 ) -1 = (4) 1.40.4 = 43.5 = 128
P2 = 2 128 = 256 atm
Answer: (4)