Which of the following quantities has the greatest mass? (a) \(752 \mathrm{mL}\) of water at \(20^{\circ} \mathrm{C}\) (b) 1.05 L of ethanol at \(20^{\circ} \mathrm{C}(d=0.789 \mathrm{g} / \mathrm{mL})\) (c) \(750 \mathrm{g}\) of chloroform at \(20^{\circ} \mathrm{C}(d=1.483 \mathrm{g} / \mathrm{mL})\) (d) a cube of balsa wood \(\left(d=0.11 \mathrm{g} / \mathrm{cm}^{3}\right)\) that is \(19.20 \mathrm{cm}\) on edge

Short Answer

Expert verified
The ethanol has the greatest mass.

Step by step solution

01

Calculate the mass of water

We know the density of water at \(20^{\circ} \mathrm{C}\) is approximately \(1 \mathrm{g/mL}\), so, the mass is: Mass = volume * density = \(752 \mathrm{mL} * 1 \mathrm{g/mL} = 752 \mathrm{g}\)
02

Calculate the mass of ethanol

The volume is given in L, we need to convert it to mL since the density is in \(g/mL\). \[1.05 \mathrm{L} = 1050 \mathrm{mL}\]. Now we can calculate the mass: Mass = volume * density = \(1050 \mathrm{mL} * 0.789 \mathrm{g/mL} = 827.95 \mathrm{g}\)
03

Compare the mass of chloroform

The mass of chloroform is given directly as \(750 \mathrm{g}\)
04

Calculate the mass of the cube of balsa wood

First, calculate the volume of the cube using the formula \(V=a^3\), where 'a' is the edge of the cube: Volume = \(19.2 \mathrm{cm} * 19.2 \mathrm{cm} *19.2 \mathrm{cm} = 7078.56 \mathrm{cm^3}\). Since 1 \(\mathrm{mL}=1\mathrm{cm^3}\), substitute \(\mathrm{cm^3}\) with \(\mathrm{mL}\). Then, calculate the mass = volume * density = \(7078.56 \mathrm{mL} * 0.11 \mathrm{g/mL} = 778.64 \mathrm{g}\)
05

Compare the masses

The calculated masses are water = 752 g, ethanol = 827.95 g, chloroform = 750 g, balsa wood = 778.64 g. Thus, the one with the greatest mass is ethanol.

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