ThermodynamicsHard
Question
A mass of diatomic gas (γ ) at a pressure of 2 atmospheres is compressed adiabati cally so that its temperature rises from 27oC to 927oC . The pressure of the gas in the final state is
Options
A.8 atm
B.28 atm
C.68.7 atm
D.256 atm
Solution
For an adiabatic process
= constant
∴
Pf = Pi
.......(i)
Here, Ti = 27oC = 300 K
Tf = 927oC = 1200 K
Pi = 2 atm
γ = 1.4
Substituting these values in eqn (i), we get
Pf = (2)(4)1.4/0.4 = 2(2)7/2 = (2)(2)7 = 28 = 256 atm
= constant∴
Pf = Pi
.......(i)Here, Ti = 27oC = 300 K
Tf = 927oC = 1200 K
Pi = 2 atm
γ = 1.4
Substituting these values in eqn (i), we get
Pf = (2)(4)1.4/0.4 = 2(2)7/2 = (2)(2)7 = 28 = 256 atm
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