Question

1. fill in the blanks in the following table

substance	mass (g)	volume (cm³)	density (g/cm³)
y	50.0		10.0
z		5.0	4.0

Explanation:

The formula relating mass (\(m\)), volume (\(V\)), and density (\(
ho\)) is \(
ho=\frac{m}{V}\), \(m =
ho\times V\), and \(V=\frac{m}{
ho}\). We will use these formulas to find the missing values for each substance.

Step 1: Find density of Substance X

We know that for Substance X, \(m = 10.0\space g\) and \(V = 20.0\space cm^{3}\). Using the formula \(
ho=\frac{m}{V}\), we substitute the values:
\(
ho_{X}=\frac{10.0}{20.0}\)
\(
ho_{X} = 0.5\space g/cm^{3}\)

Step 2: Find volume of Substance Y

For Substance Y, \(m = 50.0\space g\) and \(
ho= 10.0\space g/cm^{3}\). Using the formula \(V=\frac{m}{
ho}\), we substitute the values:
\(V_{Y}=\frac{50.0}{10.0}\)
\(V_{Y}=5.0\space cm^{3}\)

Step 3: Find mass of Substance Z

For Substance Z, \(V = 5.0\space cm^{3}\) and \(
ho = 4.0\space g/cm^{3}\). Using the formula \(m=
ho\times V\), we substitute the values:
\(m_{Z}=4.0\times5.0\)
\(m_{Z} = 20.0\space g\)

Answer:

Substance	Mass (g)	Volume (\(cm^{3}\))	Density (\(g/cm^{3}\))
Y	50.0	\(5.0\)	10.0
Z	\(20.0\)	5.0	4.0