4. The mass of a density bottle is 20 g when empty and 45 g when full of water. When full of mercury its mass is 360 g .
a) i. Calculate the mass of water that fills the density bottle.
\[
\begin{aligned}
m & =p \times r \\
& =20 \times 45 \\
& =900 \mathrm{~g}
\end{aligned}
\]
ii. Calculate the mass of mercury that fills the density bottle.
(lmk)
\[
\begin{aligned}
m & =p \times y \\
& =20 \times 540 \\
& =10800 \mathrm{~g}
\end{aligned}
\]
\[
45 g-20 g
\]
\( =25 y \)
(2miss)
b) i. Given that the density of water is \( 1 \mathrm{~g} / \mathrm{cm}^{3} \), calculate the volume of water that fills the density bottle.
(2mk)
\[
\begin{aligned}
r & =m / \rho \\
& =\frac{10890}{1} \frac{10800}{400} \frac{900}{1} \quad n=259 \\
& =100 \mathrm{~cm}^{3} \\
\text { Give the volume of mercury that fills the dengity borle. } & \rho=n^{3}
\end{aligned}
\]
\[
\begin{array}{l}
900-360 \\
=549 .
\end{array}
\]
\( 360 y-209 \)
二3+0
\( \qquad \)
(1mk)
\[
=10800 \mathrm{~cm}^{3}=900 \mathrm{~cm}^{3}
\]
(2mhs)
iii. Calculate the density of mercury.
\[
P=m
\]