Question

What volume (in L) of 0.90% NaCl solution is needed to provide 4.7 g of NaCl? Assume the density of the solution is 1.0 g/mL. _______ L

Answer 1

Answer on Question #63422 - Chemistry - Other

Task:

What volume (in L) of 0.90% NaCl solution is needed to provide 4.7 g of NaCl? Assume the density of the solution is 1.0 g/mL.

Solution:

We find the weight of the NaCl solution:

$$m(\text{solution NaCl}) = \frac{m(\text{NaCl}) \times 100\%}{w(\%)};$$ $$m(\text{solution NaCl}) = \frac{4.7 \times 100\%}{0.90\%} = 522.22g;$$

We find the volume of the NaCl solution:

$$\rho = \frac{m}{V}; \quad \Rightarrow \quad V = \frac{m}{\rho};$$ $$V(\text{solution NaCl}) = \frac{m(\text{solution NaCl})}{\rho};$$ $$V(\text{solution NaCl}) = \frac{522.22g}{1.0 \frac{g}{ml}} = 522.22ml;$$ $$V(\text{solution NaCl}) = 522.22ml \approx 0.52L.$$

Answer: V (solution NaCl) = 0.52 L.