A gas sample with an initial volume of 3.25dm^3 is heated and allowed to expand to 9.75dm^3 at constant pressure. What is the ratio of the final absolute temperature to the initial absolute temperature?
Show workings
Firstly, we can use the formula for the relationship between volume, temperature and pressure for a gas at constant pressure:
V1/T1 = V2/T2
where V1 is the initial volume, T1 is the initial absolute temperature, V2 is the final volume, and T2 is the final absolute temperature.
Plugging in the given values:
3.25/T1 = 9.75/T2
Solving for T2:
T2 = (9.75/T1) * 3.25
T2 = 3 * T1
Therefore, the ratio of the final absolute temperature to the initial absolute temperature is:
T2/T1 = 3/1 = 3:1.