The volume of an ideal gas ( γ = 1.5 ) is changed adiabatically from 5 litres to 4 litres. The ratio of initial pressure to final pressure is:

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For Adiabatic process ​ P i ​ V i ​ = P f ​ V f γ ​ P i ​ ( 5 ) 1.5 = P f ​ ( 4 ) 1.5 P f ​ P i ​ ​ = ( 5 4 ​ ) 2 3 ​ = 5 4 ​ ⋅ ( 5 4 ​ ) 2 1 ​ ⇒ 5 5 ​ 8 ​ ​

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