Chapter 20, Problem 5A

What is the mass of a cubic meter of air at $20°C$ at sea level?

To determine

The mass of air for the given specifications.

Answer to Problem 5A

The mass of the cubic meter of air at the temperature of $20°\text{C}$ at sea level is $1.2041\text{kg}$ .

Explanation of Solution

Given:

The given temperature is $20°\text{C}$ .

The volume of air is $V=1{\text{m}}^{\text{3}}$ .

Formula used:

The expression for the mass of the air $\left(M\right)$ is,

  $M=\rho V$

Here, $\rho$ is the density of air.

Take the density of air at the temperature of $20°\text{C}$ as $\rho =1.2041{\text{kg/m}}^{\text{3}}$ .

Calculation:

The mass of air $\left(M\right)$ at the given temperature is,

  $\begin{array}{l}M=\rho V\\ M=1.2041{\text{kg/m}}^{\text{3}}\times 1{\text{m}}^{\text{3}}\\ M=1.2041\text{kg}\end{array}$

Conclusion:

Thus, the mass of the cubic meter of air at the temperature of $20°\text{C}$ at sea level is $1.2041\text{kg}$ .