Answer: V = 1.44 liters
Explanation:
Charles's Law states that the volume V occupied by a gas (at a constant pressure) is directly proportional to its absolute temperature T. Introducing a constant of proportionality, k, the expression becomes
V = KT
An experiment with a balloon shows that the volume of the balloon is 1.2 liter at 270 K. Therefore, we will substitute V = 1.2 and T = 270 into the equation to determine K. It becomes
1.2 = K×270
K = 1.2/270 = 0.0044
The equation becomes
V = 0.0044T
To determine the volume of the balloon when its temperature is 324 K, we will substitute T = 324 into the equation. It becomes
V = 0.0044×324 = 1.44 litres