Answer
108.3 mL would be the total volume when we mix liquid A with liquid B and there is no chemical reaction and the volumes are additive.
Work Step by Step
When we mix liquid A with liquid B there is no chemical reaction and the volumes are additive.
So the total volume of mixture would be:
V = ${V}_{A}$ + ${V}_{B}$
We are given the volume of liquid B, that is 50mL. We are not given the volume of liquid A, but we can find it as we are given the mass and density of liquid A.
From formula for density
d = $\frac{m}{V}$ , we can write the formula to find the volume : V = $\frac{m}{d}$
So ${V}_{A}$ = $\frac{m}{d}$
${V}_{A}$ = $\frac{175}{3.00 g/mL}$
${V}_{A}$ = 58.33 mL.
Replace the values for ${V}_{A}$ and ${V}_{B}$ :
V = ${V}_{A}$ + ${V}_{B}$
V = 58.33mL + 50 mL
V= 108.33 mL.
Considering significant numbers: V= 108.3 mL
So 108.3 mL would be the total volume when we mix liquid A with liquid B and there is no chemical reaction and the volumes are additive.
