Question

A full can of black cherry soda has a mass of 0.428 kg. It contains 3.52 10-4 m3 of liquid. Assuming that the soda has the same density as water, find the volume of aluminum used to make the can. m3

Answer 1

`2.81* 10^(-5)\ m^3`

Step-by-step explanation:

V = Volume of liquid =
`3.52* 10^(-4)\ m^3`

`\rho` = Density of liquid = 1000 kg/m³

`\rho_c` = Density of aluminium = 2700 kg/m³

Mass is given by

`m_l=\rho V\\\Rightarrow m_l=1000* 3.52* 10^(-4)\\\Rightarrow m_l=0.352\ kg`

Mass of liquid is 0.352 kg

Mass of can would be

`m_c=0.428-0.352=0.076\ kg`

Volume is given by

`V_c=(m_c)/(\rho_c)\\\Rightarrow V_C=(0.076)/(2700)\\\Rightarrow V_C=2.81* 10^(-5)\ m^3`

The volume of aluminium is
`2.81* 10^(-5)\ m^3`