# 22.4 L of hydrogen gas contains how many molecules?

##### 2 Answers

At **one mole**. This is **Avogrado's number** of molecules,

#### Explanation:

The temperature and pressure chosen for this answer,

The connection between

So

Solve for **one mole**.

At a pressure of 1 bar and a temperature of 0 °C, 22.4 L of hydrogen gas contains

#### Explanation:

The number of molecules depends on the temperature and pressure of the gas.

I shall arbitrarily assume that the gas is at STP (1 bar and 0 °C).

We can use the **Ideal Gas Law** to calculate the moles of hydrogen:

#color(blue)(|bar(ul(color(white)(a/a)PV = nRT color(white)(a/a)|)))" "#

We can rearrange this to get

#n = (PV)/(RT)#

∴

We know that 1 mol of a gas contains

∴