CBSE Class 11-science Answered
pls help me to solve the 59th question

Asked by thejasvi001 | 02 Jan, 2021, 07:49: PM
Fast and sudden expansion of gas is adiabatic process.
For adiabatic expansion of gas, we have,

where p is pressure and v is volume . subscript i stands for initial state and subscript f stands for final state.
γ is ratio of specific heat .
we are given that , specific heat at constant volume , Cv = 2R
we have , Cp - Cv = R , where Cp is specific heat at constant pressure.
Hence Cp = 2R+R = 3R and γ = ( Cp / Cv ) = (3R / 2R ) = 1.5
Hence ratio of initial pressure to final pressure is determined from eqn.(1) as

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Answer :- Ratio of initial to final pressure is nearly equal to 5
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