Question

A balloon filled with helium has a volume of 40.9 L at 301 K. What volume will the balloon occupy at 269 K?

Answer 1

We know that PV = nRT

Where P-pressure , V-volume , n - number of moles , R - gas constant , T - temperature

As the gas doesnot change , n is constant .R & P also not changed .

So V/ T = constant.

V/T = V'/T'

Where

V = initial volume = 40.9 L

V' = final volume = ?

T= initial temperature = 301 K

T' = final temperature = 269 K

Plug the values we get

V' = VT' / T

   = ( 40.9 x 269 ) / 301

   = 36.5 L

Therefore the volume occupied 36.5 L