Chapter 5.3, Problem 5.6BFP

Interpretation Introduction

Interpretation

The volume of blimp filled with $3950\text{ kg}$ of helium at $\text{731}\text{mmHg}$ and $20°\text{C}$ is to be calculated.

Concept introduction:

Ideal gas law equation is as follows:

$PV=nRT$ (1)

Here,

$P$ is the pressure of gas.

$V$ is the volume occupied by a gas.

$n$ is the number of moles of gas.

$T$ is the  temperature in kelvin.

$R$ is the universal gas constant.

The formula to calculate number of moles  is as follows:

$n=\frac{\text{weight}\left(m\right)}{\text{molecular}\text{weight}\left(M\right)}$ (2)

Conversion factor to convert $\text{kg}$ to $\text{g}$ is as follows:

$\text{1}\text{kg}=\text{1000}\text{g}$

Conversion factor to convert $\text{mmHg}$ to $\text{atm}$ is as follows:

$\text{760}\text{mmHg}=\text{1}\text{atm}$

The conversion factor to convert $°\text{C}$ to Kelvin is as follows:

$T\left(\text{Kelvin}\right)=T\left(°C\right)+273.15$ (3)