Volume and pressure equivalence

Chemistry Level 2

A balloon is inflated with helium gas at room temperature of $25^\circ C$ and at $1bar$ pressure when its initial volume is $3.0\text{ L}$ and allowed to rise in air. As it rises in air external pressure decreases and volume of gas increases till finally it bursts when external pressure is $0.3bar$ .What is the limit to which volume of the balloon can be inflated?

Given :
$Pressure(1)=1bar$ , $Volume(1)=3.0L$

$Pressure(2)=0.3bar$ , $Volume(2)=?$

The answer is 10.

1 solution

A Former Brilliant Member
Sep 16, 2016

As given $P_{1}=1bar,P_{2}=0.3bar,V_{1}=3.0L,V2=?$

as gas equation $PV= nRT$ ,here temperature,number of mole are constant and pressure ,volume has change. so we can assume that,

$P_{1}V_{1}=nRT$ and $P_{2}V_{2}=nRT$ one side is equal so other must be,

so, $P_{1}V_{1}=P_{2}V_{2 }$

For Volume $V_{2},$ $V_{2}=(P1.V1)/P2$ $V_{2}=(1*3)/0.3= 10L$

Volume of the balloon can be inflated to $10L$ .

Volume and pressure equivalence

The answer is 10.

1 solution

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