The pressure of a gas kept in an isothermal container is 200 kPa. If half the gas is removed from it, the pressure will be

Question

Philoid · Accepted Answer

Given:

Pressure P=200kPa

1kPa= Pa

We know that ideal gas equation is

PV=nRT

Where V= volume of gas

R=gas constant

T=temperature

n=number of moles of gas

So,

=200Pa ……(i)

Now according to question half of the gas is removed. That means number of moles left behind are also halved.

Therefore, number of moles left behind n’=

So new pressure will be P’=

Putting the value of n’ in above equation we get

From equation (i) we can write P’ as

Pa=100kPa.

New pressure will be 100kPa.