Did you know?
Did you know that the temperature of a gas can change when its volume is altered? In this scenario, a volleyball initially containing gas at a temperature of 333 K and a volume of 12.5 liters has its volume decreased to 7.0 liters. To find the new temperature, we can use the principle of Charles's Law. Charles's Law states that at constant pressure, the volume of a gas is directly proportional to its absolute temperature. By rearranging the formula, we can solve for the final temperature (T2):
V1 / T1 = V2 / T2
Let's substitute the given values into the equation:
12.5 L / 333 K = 7.0 L / T2
Now, cross-multiply and solve for T2:
(12.5 L) * T2 = (7.0 L) * 333 K
T2 = (7.0 L * 333 K) / 12.5 L
By simplifying the equation, the final temperature (T2) is approximately 186.48 K. Therefore, when the volume of the volleyball is decreased to 7.0 liters, the gas inside will cool down to approximately 186.48 K.
