A sample of oxygen gas occupies a volume of 3.84 L at 269. K. What volume will the sample occupy at 486. K?
3.84L (486/269) Pascal's law.
To solve this problem, we can apply the combined gas law, which states that the ratio of the initial and final volumes of a gas sample under constant pressure and amount of gas is equal to the ratio of the initial and final temperatures.
The formula for the combined gas law is as follows:
(P1 * V1) / T1 = (P2 * V2) / T2
In this case, we have the initial volume (V1 = 3.84 L), initial temperature (T1 = 269 K), and final temperature (T2 = 486 K). We need to find the final volume (V2).
First, we rewrite the formula as:
V2 = (P1 * V1 * T2) / (P2 * T1)
Since the problem does not provide any information about pressure, we assume that it remains constant. As a result, the pressure ratio (P1/P2) cancels out, simplifying the equation to:
V2 = (V1 * T2) / T1
Now, we substitute the values into the formula:
V2 = (3.84 L * 486 K) / 269 K
Calculating this expression will give us the final volume that the sample will occupy at 486 K.