Chapter 5, Problem 5.30P

Interpretation Introduction

Interpretation:

A balloon is filled with $1.\text{2 L}$ of helium at ${25}^{\circ }\text{C}$ and $0.9\text{8 atm}$ pressure is submerged in liquid nitrogen at $-{196}^{\circ }\text{C}$. The final volume of the helium in the balloon should be calculated.

Concept Introduction:

The volume of the helium in the balloon can be calculated using ideal gas law.

Mathematically, Ideal gas law states that:

$PV=nRT$

Where,

$P=$ Pressure of the gas in atmospheres ($\text{atm}$).

$V=$ Volume of the gas in liters ($\text{L}$).

$n=$ Amount of the gas in moles ($\text{mol}$).

$R=$ Ideal gas constant, the value is $0.082{\text{ atm L mol}}^{-1}{\text{ K}}^{-1}$

$T=$ Temperature of the gas in kelvins ($\text{K}$).