Question

1. the density of ice at 0 °c is 0.9168 g ml⁻¹, and that of liquid water at 0 °c is 0.9999 g ml⁻¹. (1) what are the volumes of 1.000 g of ice and of 1.000 g of water at 0 °c?

Explanation:

Step1: Recall density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. We can re - arrange it to $V = \frac{m}{
ho}$.

Step2: Calculate volume of ice

Given $m = 1.000\ g$ and $
ho_{ice}=0.9168\ g/mL$. Substitute into the volume formula: $V_{ice}=\frac{m}{
ho_{ice}}=\frac{1.000\ g}{0.9168\ g/mL}\approx1.091\ mL$.

Step3: Calculate volume of water

Given $m = 1.000\ g$ and $
ho_{water}=0.9999\ g/mL$. Substitute into the volume formula: $V_{water}=\frac{m}{
ho_{water}}=\frac{1.000\ g}{0.9999\ g/mL}\approx1.000\ mL$.

Answer:

The volume of 1.000 g of ice at 0°C is approximately 1.091 mL and the volume of 1.000 g of water at 0°C is approximately 1.000 mL.