Question

How many moles of methane gas molecules, ch4, are in 11.2 liters of methane at standard conditions?

Answer 1

1 mole of any gas under standard conditions has volume 22.4 L.
So,
11.2 L * 1 mol/22.4 L= 0.5 mol

Answer 2

There are 0.5 moles in 11.2 liters of methane at standard conditions.

Explanation:

Standard state conditions are defined by Standard Temperature & Pressure (STP) with a temperature of 0 °C or 273.15 Kelvin (K) and a pressure of 1 atmosphere (1 atm = 101 325 Pa), temperature.

At STP 1 mol of ideal gas occupies 22.4 L.

We know the volume of methane V = 11.2 liters and 1 mol of ideal gas occupies 22.4 L.

To find the moles of the gas we can apply the following formula:

`Moles \:of \:gas = \:volume \:of \:gas \cdot (1 \mol)/(22.4 L)`

`Moles \:of \:methane \:gas = 11.2 \:L \cdot (1 \:mol)/(22.4 \:L )=0.5 \:mol`

There are 0.5 moles in 11.2 liters of methane at standard conditions.