Chapter 13, Problem 19A

Interpretation Introduction

Interpretation:

The volume of neon gas have to be calculated.

Concept Introduction:

Avogadro’s law: The volume of a gas is directly proportional to the number of moles at constant temperature and pressure.

The relationship between the volume of a gas and the number of moles present in the gas is expressed as-

  $\begin{array}{l}V\propto n\\ or,\frac{V}{n}=Constant\end{array}$ When T and P are constant.

When the number of moles of gas is changed from an initial amount to another amount at constant T and P, Avogadro’s law can be represented as -

  $\frac{V_1}{n_1}=\frac{V_2}{n_2}$

Initial volume = V₁ Final volume = V₂

Initial moles = n₁ Final moles = n₂

Answer to Problem 19A

The volume of neon gas is 188.82 mL.

Explanation of Solution

Data given:

n₁= 0.00901 mole

V₁ = 242 mL

n₂= 0.00703 mole

  $\frac{V_1}{n_1}=\frac{V_2}{n_2}$

By putting all the values in the above equation, we can calculate V₂

  $\begin{array}{l}{V}_2=\frac{V_1{n}_2}{n_1}\\ =\frac{242mL\times 0.00703mol}{0.00901mol}\\ =188.82mL\end{array}$