Answer:
2.29 L
Explanation:
In this question we have to start with the chemical reaction:
[tex]2HCl_(_a_q_)~+~Zn_(_s_)~->~ZnCl_2_(_a_q_)~+~H_2_(_g_)[/tex]
The reaction is already balanced. So, if we have an excess of HCl the compound that would limit the production of [tex]H_2[/tex] would be Zn. So, we have to follow a few steps:
1) Convert from grams to moles (Using the atomic mass of Zn 65.38 g/mol).
2) Convert from moles of Zn to moles of [tex]H_2[/tex] (Using the molar mass 1 mol [tex]H_2[/tex] = 1 mol Zn).
3) Convert from mol of [tex]H_2[/tex] to volume (Using the ideal gas equation PV=nRT).
First step:
[tex]5.98~g~Zn\frac{1~mol~Zn}{65.38~g~Zn}=0.0915~mol~Zn[/tex]
Second step:
[tex]0.0915~mol~Zn\frac{1~mol~H_2}{1~mol~Zn}=0.0915~mol~H_2[/tex]
Third step:
We have to remember that R = 0.082 [tex]\frac{atm*L}{mol*K}[/tex] , so:
[tex]V=\frac{0.082\frac{atm*L}{mol*K}*0.0915~mol~H_2*298K}{0.978~atm}[/tex]
[tex]V=2.29~L[/tex]
I hope it helps!