Question

A sample of gas has a volume of 32.4L at 20 degree celsius. The gas is heated to 220 degree celsius at a constant pressure. What is the final volume of the gas?

Answer 1

By applying Charles's Law, we calculate the final volume of the gas when heated to 220 °C at constant pressure to be 54.8 L.

Step-by-step explanation:

To find the final volume of the gas after heating, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature when pressure is held constant.

First, we need to convert both temperatures from Celsius to Kelvin by adding 273.15:

Final temperature (T2) = 220 °C + 273.15 = 493.15 K

Now, we can apply Charles's Law which is V1/T1 = V2/T2. Using the initial volume (V1 = 32.4 L) and initial temperature (T1 = 293.15 K), we can solve for the final volume (V2).

V2 = (V1 * T2) / T1

V2 = (32.4 L * 493.15 K) / 293.15 K = 54.8 L (to one decimal place)

Therefore, the final volume of the gas when heated to 220 °C at constant pressure is 54.8 L.