Answer:
41.0 cm³
Explanation:
From the ideal gas law, we can show that at constant pressure, the volume of a gas is directly proportional to the temperature. This principle is also known as Charles's law.
The ideal gas law states:
PV = nRT
where
- P is absolute pressure
- V is volume
- n is number of moles
- R is the universal gas constant
- T is absolute temperature
If the pressure P and number of moles n are constant, then the volume is directly proportional to the temperature:
V/T = nR/P = constant
V₁ / T₁ = V₂ / T₂
This is known as Charles's law. Plugging in values:
(32.0 cm³) / (189 K) = V / (242 K)
V = 41.0 cm³
Rounded to three significant figures, the volume of the gas is 41.0 cm³.
