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

Answer:

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

Step-by-step 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:

[tex]Moles \:of \:gas = \:volume \:of \:gas \cdot \frac{1 \mol}{22.4 L}[/tex]

[tex]Moles \:of \:methane \:gas = 11.2 \:L \cdot \frac{1 \:mol}{22.4 \:L }=0.5 \:mol[/tex]

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