Chapter 5, Problem 5.12P

Interpretation Introduction

Interpretation:

The relationship between pressure of a gas and number of moles of a gas should be determined.

Concept Introduction:

The relationship between temperature, pressure, number of moles of a gas and volume is explained by different gas laws.

Boyle's Law gives the relationship between Pressure (P) and Volume (V).

According to Boyle's Law, the volume of gas changes inversely with the pressure of the gas if temperature and amount of a gas are constant.

PV = constant

  $\text{Pα}\frac{\text{1}}{\text{V}}$

The pressure of a gas decreases with increase in volume; volume of a gas decreases with increase in pressure.

Avogadro's Law:

At same condition of pressure and temperature, equal volume of gases has same number of moles. In other words, at same temperature and pressure; one mole of a gas has the same volume.

According to Avogadro's Law, at STP, 1 mole of a gas consist of $6.02\times {10}^{23}$ occupies 22.4 L volume.

The mathematical expression is given as:

  $\frac{V}{n}=\text{constant}(\text{pressure, temperature fixed)}$