Answer:
9.63 L.
Explanation:
Hello,
In this case, the undergoing chemical reaction is:
[tex]2HCl(g) + Br_2(g)\rightarrow 2HBr(g) + Cl_2(g)[/tex]
So the consumed amounts of hydrochloric acid and bromine are the same to the beginning based on:
[tex]n_{Br_2}^{consumed}=0.1500molHCl*\frac{1molBr_2}{2molHCl}=0.075molBr_2[/tex]
In such a way, the yielded moles of hydrobromic acid and chlorine are:
[tex]n_{HBr}=0.1500molHCl*\frac{2molHBr}{2molHCl}=0.1500molHBr \\n_{Cl_2}=0.1500molHCl*\frac{1molCl_2}{2molHCl}=0.075molCl_2[/tex]
Thus, the volume of the sample, after the reaction is the same as no change in the total moles is evidenced, that is 9.63L.
Best regards.