The volume of hydrogen would be 7.47 L.
There are four steps involved in this problem:
- Write the balanced equation for the reaction.
- Use the molar mass of
#"Mg"#to calculate the moles of #"Mg"#.
- Use the molar ratio of
#"Mg":"H"_2#from the balanced equation to calculate the moles of #"H"_2#.
- Use the Ideal Gas Law to calculate the volume of
Step 1. Write the balanced chemical equation.
Step 2. Calculate the moles of
Step 3. Calculate the moles of
Step 4. Calculate the volume of
The Ideal Gas Law is
#color(blue)(bar(ul(|color(white)(a/a)PV = nRTcolor(white)(a/a)|)))" "#
We can rearrange this equation to get
#V = (nRT)/P#
STP is defined as 1 bar and 0 °C, so