To determine the volume of 0.58 moles of [tex]\( H_2 \)[/tex] gas at Standard Temperature and Pressure (STP), we'll follow these steps:
1. Understand the concept: At STP (Standard Temperature and Pressure, which is defined as 0°C or 273.15K and 1 atm pressure), one mole of any ideal gas occupies 22.414 liters. This is a standard value used in chemistry.
2. Given data: We have 0.58 moles of [tex]\( H_2 \)[/tex] gas.
3. Use the molar volume of a gas at STP: According to the given standard, 1 mole of any gas occupies 22.414 liters at STP.
4. Set up the calculation: To find the volume occupied by 0.58 moles of [tex]\( H_2 \)[/tex] gas, multiply the number of moles by the volume per mole.
[tex]\[
\text{Volume of } H_2 \text{ gas} = \text{number of moles} \times \text{volume per mole at STP}
\][/tex]
5. Substitute the values:
[tex]\[
\text{Volume of } H_2 \text{ gas} = 0.58 \text{ moles} \times 22.414 \text{ liters/mole}
\][/tex]
6. Compute the result:
[tex]\[
\text{Volume of } H_2 \text{ gas} = 13.00012 \text{ liters}
\][/tex]
7. Conclusion: Therefore, the volume of 0.58 moles of [tex]\( H_2 \)[/tex] gas at STP is 13.00012 liters.
