Question

5) A gas is held at Standard Temperature and Pressure (STP). If the gas occupies 48.4L,how many moles are present?

Answer 1

ANSWER

The number of moles of the gas is 2.2 moles

EXPLANATION

Given thanks

The volume of the gas is 48.4L

To find the number of moles, follow the steps below

Recall, that 1 mole is equivalent to 22.4L/mol

Let x represents the number of moles of the gas

$\begin{gathered} \text{ 1 mole }\rightarrow\text{ 22.4 L/mol} \\ \text{ x mole }\rightarrow\text{ 48.4L} \\ \text{ cross multiply} \\ \text{ 1 mole }\times\text{ 48.4L }=\text{ x mole }\times\text{ 22.4l/mol} \\ \text{ Isolate x} \\ \text{ x = }\frac{\text{ 1mole}\times48.4\cancel{L}}{22.4\frac{\cancel{L}}{mol}} \\ \text{ } \\ \text{ x = }\frac{\text{ 1 }\times\text{ 48.4}}{22.4} \\ \text{ x = 2.161 moles} \end{gathered}$

Hence, the number of moles of the gas is 2.2moles