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A student takes a measured volume of 3.00 M HCl to prepare a 50.0 mL sample of 1.80 M HCl. What volume of 3.00 M HCl did the student use to make the sample? Use M_(j)V_(i)=M_(f)V_(f) 3.70 mL 16.7 mL 30.0 mL 83.3 mL

Question

A student takes a measured volume of 3.00 M HCl to prepare a 50.0 mL sample of 1.80 M HCl. What volume of
3.00
M HCl did the student use to make the sample?
Use M_(j)V_(i)=M_(f)V_(f)
3.70 mL
16.7 mL
30.0 mL
83.3 mL

A student takes a measured volume of 3.00 M HCl to prepare a 50.0 mL sample of 1.80 M HCl. What volume of 3.00 M HCl did the student use to make the sample? Use M_(j)V_(i)=M_(f)V_(f) 3.70 mL 16.7 mL 30.0 mL 83.3 mL

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TabithaExpert · Tutor for 3 years

Answer

### 30.0 mL

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## Step 1: Identify the Problem Type<br />### The problem involves the dilution of a solution. The formula for dilution is given by \(M_iV_i = M_fV_f\), where \(M_i\) is the initial molarity, \(V_i\) is the initial volume, \(M_f\) is the final molarity, and \(V_f\) is the final volume.<br /><br />## Step 2: Assign Given Values<br />### In this problem, we are given \(M_i\) (3.00 M), \(M_f\) (1.80 M), and \(V_f\) (50.0 mL), and we are asked to find \(V_i\).<br /><br />## Step 3: Substitute Values into the Formula<br />### Substitute the given values into the formula to find \(V_i\):<br />\[V_i = \frac{M_f \cdot V_f}{M_i} = \frac{1.80 \, \text{M} \cdot 50.0 \, \text{mL}}{3.00 \, \text{M}} = 30.0 \, \text{mL}\]
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