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

The number of moles of the gas is 2.2 moles

Step-by-step 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 }*\text{ 48.4L }=\text{ x mole }*\text{ 22.4l/mol} \\ \text{ Isolate x} \\ \text{ x = }\frac{\text{ 1mole}*48.4\cancel{L}}{22.4\frac{\cancel{L}}{mol}} \\ \text{ } \\ \text{ x = }\frac{\text{ 1 }*\text{ 48.4}}{22.4} \\ \text{ x = 2.161 moles} \end{gathered}`

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