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.
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?
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