Chapter 13.2, Problem 32SSC

Interpretation Introduction

Interpretation:

State the ideal gas equation.

Concept introduction:

Ideal gas equation is the combined effect of various laws:

Boyle’s Law

Charles’ Law

Avogadro’s Law

Answer to Problem 32SSC

According to this equation,

$\mathrm{PV}=nRT$

Where

$\mathrm{P}$ is pressure of the gas

$\mathrm{V}$ is volume of the gas

$\mathrm{n}$ is the number of moles of the gas

$\mathrm{R}$ is the ideal gas constant

$\mathrm{T}$ is the temperature of the gas

Explanation of Solution

According to Boyle’s Law-

$\mathrm{V}\propto \frac{1}{P}$

According to Charles’s Law-

$\mathrm{V}\propto T$

According to Avogadro’s Law-

$\mathrm{V}\propto n$

Combining these equations, ideal gas equation is obtained.

Here the proportionality constant is known as gas constant and represented by $\mathrm{R}$

Conclusion

The ideal gas equation is $\mathrm{PV}=nRT$