MENU
Question -

A cylinder with a movable piston contains 3 moles of hydrogen at standard temperature and pressure. The walls of the cylinder are made of a heat insulator, and the piston is insulated by having a pile of sand on it. By what factor does the pressure of the gas increase if the gas is compressed to half its original volume?



Answer -

The cylinder is completely insulated from its surroundings.

Therefore, no heat is exchanged between the system (cylinder)and its surroundings.

Thus, the process is adiabatic

Initial pressure inside the cylinder = P1

Final pressure inside the cylinder = P2

Initial volume inside the cylinder = V1

Final volume inside the cylinder = V2

Ratio of specific heat, γ = Cp / Cv =1.4

For an adiabatic process, we have:

P1V1γ = P2V2γ

The final volume is compressed to half of its initial volume

Hence,

V2 =V1 /2

P1V1γ = P2(V1 / 2)γ

P2 /P1 =V1γ / (V1 /2)γ

= 21.4

We get,

= 2.639

Therefore, the pressure increases by a factor of 2.639

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
NodeJS Interview Questions Answers
ASP.Net Interview Questions Answers
Interview Questions Answers
×