0

Guest

Courses New

An ideal gas is enclosed in a container of volume V at pressure P. It is being pumped out of the container using a pump with stroke volume v. What is the final pressure in container after n-stroke of the pump(assume temperature remains same)1.P(V/v+V)^n2.PV/(V-v)^n3.P*(V/v)^n4.P(V/V-v)^n

An ideal gas is enclosed in a container of volume V at pressure P. It is being pumped out of the container using a pump with stroke volume v. What is the final pressure in container after n-stroke of the pump(assume temperature remains same)1.P(V/v+V)^n2.PV/(V-v)^n3.P*(V/v)^n4.P(V/V-v)^n

Grade:11

1 Answers

Arun
25750 Points
6 years ago
Dear Aniket
Initial pressure = P   Volume = V Let the initial temperature be T
P V = n R T
stroke volume of the pump = v  (let v Assuming an isothermal process:
After the pumping out gas of volume v out of  V, the number of moles of the given gas left in the container = n *(V-v)/V
As Volume V of the container is constant,
P1 = P * (V-v)/V = P (1 - v/V)
Again when gas is pumped out pressure will become
P2 = P1 * (1 - v/V) = P (1- v/V)²
After n pumpings,  Pressure inside the container = P (1 - v/V)n
Regards
Arun (askIITians forum expert)

Think You Can Provide A Better Answer ?

Other Related Questions on Thermal Physics

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More