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How many moles of hydrogen gas are contained in [tex]$21.3 L$[/tex] at STP?

Sagot :

To determine how many moles of hydrogen gas are contained in 21.3 liters (L) at Standard Temperature and Pressure (STP), follow these steps:

1. Understand STP Conditions:
At STP (Standard Temperature and Pressure), 1 mole of an ideal gas occupies 22.4 liters.

2. Given Information:
- The volume of hydrogen gas is 21.3 liters.

3. Use the Molar Volume:
The molar volume at STP (Standard Temperature and Pressure) for an ideal gas is 22.4 liters per mole.

4. Calculate the Number of Moles:
To find the number of moles of hydrogen gas, use the formula:
[tex]\[ \text{moles of gas} = \frac{\text{given volume of gas}}{\text{molar volume at STP}} \][/tex]

5. Substitute the given values into the formula:
[tex]\[ \text{moles of hydrogen} = \frac{21.3 \, \text{liters}}{22.4 \, \text{liters per mole}} \][/tex]

6. Calculate:
When you perform the division, you get:
[tex]\[ \text{moles of hydrogen} = 0.9508928571428572 \][/tex]

Therefore, the number of moles of hydrogen gas contained in 21.3 liters at STP is approximately 0.9509 moles.