The density, d, of a gas can be calculated using the formula d=

m
v
, where m is the mass of the gas and v is the volume it occupies. If a scientist measures the mass of a gas in grams (g) and the volume of the gas in cubic centimeters (cm3), what units would the scientist use to express the gas's density?

1 answer

To express the density of the gas using the formula \( d = \frac{m}{v} \), where \( m \) is the mass in grams (g) and \( v \) is the volume in cubic centimeters (cm³), the units of density will be calculated as follows:

  1. The mass (\( m \)) is measured in grams (g).
  2. The volume (\( v \)) is measured in cubic centimeters (cm³).

When you divide mass by volume, the units of density will be:

\[ d = \frac{g}{cm³} \]

Thus, the units used to express the gas's density will be grams per cubic centimeter (g/cm³).