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The volume of hydrogen gas produced at S.T.P. when \(100 ml\) of \(2 M\) hydrochloric ...

The volume of hydrogen gas produced at S.T.P. when \(100 ml\) of \(2 M\) hydrochloric acid reacts with exeess zine is ____________
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  • A \(2.24 dm ^{3}\)
  • B \(4.48 dm ^{3}\)
  • C \(1.12 dm ^{3}\)
  • D \(44.8 dm ^{3}\)
Correct Answer: Option A
Explanation:
Equation of reaction
\begin{aligned}
&Zn _{(b)}+2 HCl _{(2 q)} \rightarrow ZnCl _{2(\text { aq) }}+ H _{2( g )}\\
&\eta HCl =\text { conc. } \times \text { vol }\\
&100 ml =100 cm ^{3}=0.1 dm ^{3}\\
&\eta HCl =2 \times 0.1=0.2 mol\\
&\text { from the equation, }\\
&2 \text { mole } HCl \rightarrow 1 \text { mole } H _{2}\\
&0.2 mol HCl \rightarrow x\\
&x=\frac{0.2}{2}=0.1 mol H _{2}\\
&\text { at S.T.P., }\\
&1 mole -22.4 dm ^{3}\\
&0.1 \text { mole }-y\\
&y=2.24 dm ^{3} \text { of } H _{2}
\end{aligned}

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