Question

How many liters of H2 gas are equal to 4374.4 grams of H2 gas?

Answer 1

We can apply the ideal gas law which tells us the following:

`PV=nR_{}T`

Where,

P is the pressure = 1atm (STP)

T is the temperature = 273.15K (STP)

R is the ideal gas constant = 0.08206 (atm L)/(mol K)

n is the number of moles

V is the volume in L

So, we have to calculate first the number of moles. We will use the molar mass of H2.

Molar mass of H2 = 2.01568 g/mol

`\begin{gathered} \text{Mol of H}_2=Mass\text{ of H}_2/ Molar\text{ mass} \\ \text{Mol of H}_2=4374.4\text{ g}/2.01568(g)/(mol) \\ \text{Mol of H}_2=2170.2\text{ mol of H}_2 \end{gathered}`

Now, we replace the know values in ideal gas law:

`\begin{gathered} PV=nR_{}T \\ We\text{ clear V} \\ V=\frac{nR_{}T}{P} \\ V=\frac{2170.2\text{mol}*0.08206\frac{atm\mathrm{}L}{\text{mol}\mathrm{}K}*273.15K}{1\text{ atm}} \\ V=48644.0\text{ L} \\ \end{gathered}`

So, 4374.4 grams of H2 gas are equal to 48644.0 L