Question #30550

If you dilute 175 mL of a 1.6 M solution of LiCl to 1.0 L, what is the new concentration of the solution?

Expert's answer

If you dilute 175 mL of a 1.6 M solution of LiCl to 1.0 L, what is the new concentration of the solution?

**Solution:**

Dilution is calculated by the following formula:


C1(LiCl)V1(LiCl)=C2(LiCl)V2(LiCl)C _ {1} (L i C l) * V _ {1} (L i C l) = C _ {2} (L i C l) * V _ {2} (L i C l)


where C1(LiCl)C_1(LiCl) is the initial concentration or molarity and V1(LiCl)V_{1}(LiCl) is the initial volume and C2(LiCl)C_2(LiCl) is the final concentration or molarity and V2(LiCl)V_{2}(LiCl) is the final volume.

So,


1,6 mole/ml175 ml=C2(LiCl)1000 ml1,6 \text{ mole/ml} * 175 \text{ ml} = C _ {2} (L i C l) * 1000 \text{ ml}C2(LiCl)=1,6 mole/ml175 ml1000 ml=0,28 mole/mlC _ {2} (L i C l) = \frac {1,6 \text{ mole/ml} * 175 \text{ ml}}{1000 \text{ ml}} = 0,28 \text{ mole/ml}


The 1000 mL was used rather than 1.0 l

**Answer:** the concentration of the resulting solution LiCl – 0,28 mole/ml

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