A heat insulating cylinder with a movable piston contins 5 moles of hydrogen at standard temperature and prssure if the gas is cmpressed to quarter of its original volume then the pressure of the gas is increased by `(gamma=1.4)`A. `(2)^(1.4)`B. `(3)^(1.4)`C. `(4)^(1.4)`D. `(5)^(1.4)`

A heat insulating cylinder with a movable piston contins 5 moles of hy

1.	A heat insulating cylinder with a movable piston contins 5 moles of hydrogen at standard temperature and prssure if the gas is cmpressed to quarter of its original volume then the pressure of the gas is increased by `(gamma=1.4)`A. `(2)^(1.4)`B. `(3)^(1.4)`C. `(4)^(1.4)`D. `(5)^(1.4)`
Answer» Correct Answer - C As the cylinder is a heat insulating i.e no heat is allowed to be exchanged .Hence the process is adiabatic `P_(1)V_(1)^(gamma)=P_(2)V_(2)^(gamma)` `(P_(2))/(P_(1))=(V_(1))/(V_(2))^(gamma)` Here `V_(1)=V,V_(2)=(V)/(4),P_(1)=P` and `gamma=1.4` `(P_(2))/(P)=((V)/(V//4))^(1.4)=(4)^(1.4) rArr P_(2)=(4)^(1.4)P`

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A heat insulating cylinder with a movable piston contins 5 moles of hydrogen at standard temperature and prssure if the gas is cmpressed to quarter of its original volume then the pressure of the gas is increased by `(gamma=1.4)`A. `(2)^(1.4)`B. `(3)^(1.4)`C. `(4)^(1.4)`D. `(5)^(1.4)`

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