To find the new volume of the gas when the temperature changes, we can use Charles’s Law, which states that the volume of a gas is directly proportional to its temperature when pressure is constant. The formula for Charles’s Law is:
V1 / T1 = V2 / T2
Where:
- V1 is the initial volume (605 liters)
- T1 is the initial temperature in Kelvin (27°C = 273 + 27 = 300 K)
- V2 is the new volume
- T2 is the new temperature in Kelvin (30°C = 273 + 30 = 303 K)
Now, substituting the known values into the formula:
605 / 300 = V2 / 303
To solve for V2, we can cross-multiply:
605 * 303 = V2 * 300
This results in:
183615 = V2 * 300
Now, divide both sides by 300 to find V2:
V2 = 183615 / 300
This gives:
V2 ≈ 612.05 liters
The options provided (672 l, 545 l, 672 l, 5450 l) do not match the calculated value. Therefore, it seems there might be an error in the options given. Based on the calculations from the initial data, the volume changes to approximately 612 liters.