Question

A 100 L ball is blown up inside at 200K. It is then taken outside in the hot sun, and the volume increases to 150 L. What is the new temperature?​

Answer 1

Temperature, T2 = 300 Kelvin

Step-by-step explanation:

Given the following data;

Initial volume = 100 Liters

Initial temperature = 200 Kelvin

Final volume = 150 Liters

To find the final temperature T2, we would use Charles' law.

Charles states that when the pressure of an ideal gas is kept constant, the volume of the gas is directly proportional to the absolute temperature of the gas.

Mathematically, Charles is given by;

`\frac {V}{T} = K`

`(V1)/(T1) = (V2)/(T2)`

Making T2 as the subject formula, we have;

`T_(2)= (V_(2))/(V_(1)) * T_(1)`

Substituting into the formula, we have;

`T_(2)= (150)/(100) * 200`

`T_(2)= 1.5 * 200`

Temperature, T2 = 300 Kelvin