A gas occupies a volume of 2.5 L at a temperature of 25°C. If the temperature is increased to 50°C, what will be the new volume of the gas?

Answer 1

To solve this problem, we can use the combined gas law formula:

(P1*V1) / T1 = (P2*V2) / T2

Where:
P1 = initial pressure
V1 = initial volume
T1 = initial temperature
P2 = final pressure (assumed to be constant, so it cancels out)
V2 = final volume (what we're trying to find)
T2 = final temperature

Given:
V1 = 2.5 L
T1 = 25°C = 298 K
T2 = 50°C = 323 K

Let's plug in the values and solve for V2:
(1 * 2.5) / 298 = (1 * V2) / 323
2.5 / 298 = V2 / 323
V2 = (2.5 / 298) * 323
V2 ≈ 2.72 L

Therefore, the new volume of the gas at 50°C will be approximately 2.72 L.