What volume of 3.05 M #HCl(aq)# will react with 25.0 g #Zn(s)# in the reaction #Zn(s) + 2HCl(aq) -> ZnCl_2(aq) + H_2(g)#?
Start by writing down the balanced chemical equation that describes this single replacement reaction
#"Zn"_ ((s)) + color(red)(2)"HCl"_ ((aq)) -> "ZnCl"_ (2(aq)) + "H"_(2(g)) uarr#
Now, notice that the two reactants react in a
As you know, a solution's molarity tells you how many moles of solute, which in your case will be hydrochloric acid,
The hydrochloric acid solution is said to have a molarity of
You know that the reaction must consume
#25.0 color(red)(cancel(color(black)("g"))) * "1 mole Zn"/(65.38color(red)(cancel(color(black)("g")))) = "0.3824 moles Zn"#
In order for this many moles of zinc to react, you'd need
#0.3824 color(red)(cancel(color(black)("moles Zn"))) * (color(red)(2)color(white)(a)"moles HCl")/(1color(red)(cancel(color(black)("mole Zn")))) = "0.7648 moles HCl"#
Since you know that
#0.7648 color(red)(cancel(color(black)("moles HCl"))) * overbrace("1 L solution"/(3.05 color(red)(cancel(color(black)("moles HCl")))))^(color(purple)(" a molarity of 3.05 mol L"^(-1))) = "0.2508 L solution"#
Rounded to three sig figs and expressed in milliliters, the answer will be
#"volume of HCl solution" = color(green)(|bar(ul(color(white)(a/a)"251 mL"color(white)(a/a)|)))#
Note that you have
#"1 L" = 10^3"mL"#
SIDE NOTE The hydrogen gas produced by the reaction will bubble out of solution.
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First, calculate moles of Zn: ( \text{moles of Zn} = \frac{\text{mass}}{\text{molar mass}} ) ( \text{moles of Zn} = \frac{25.0 , \text{g}}{65.38 , \text{g/mol}} )
Use the balanced equation to find moles of HCl: ( \text{moles of HCl} = 2 \times \text{moles of Zn} )
Calculate volume of HCl using its molarity: ( \text{volume (L)} = \frac{\text{moles}}{\text{molarity}} ) ( \text{volume (L)} = \frac{\text{moles of HCl}}{3.05 , \text{M}} )
Round the answer to an appropriate number of significant figures.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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