zinc metal and hydrochloric acid react together according to the following equation 2HCl (aq)+ Zn(s) = ZnCl2(aq) +H2(g) if 5.98 g Zn reacts with excess HCl at 298 K and 0.978 atm what volume of H2 can be collected

Respuesta :

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!

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