Question

An ideal gas in a sealed container has an initial volume of 2.50 L at constant... a) 1.25 L b) 2.50 L c) 3.75 L d) 5.00 L

Answer 1

To find the final volume of an ideal gas after heating, use Charles's Law, V1/T1 = V2/T2, after converting Celsius to Kelvin. The final volume when heating from -196°C to 100°C at constant pressure is approximately 12.08 L.

This correct answer is none of the above.

Step-by-step explanation:

The student's question asks for the final volume of an ideal gas that is heated from -196°C to 100°C, assuming the pressure remains constant.

To solve this problem, we can use the combined gas law, which is expressed as (P1V1)/T1 = (P2V2)/T2, where P represents pressure, V is volume, and T is temperature. However, since the pressure is constant, this simplifies to the direct relationship given by Charles's Law, V1/T1 = V2/T2.

To find the final volume (V2), we must convert the temperatures from Celsius to Kelvin. The initial temperature (T1) is -196°C + 273.15 = 77.15 K, and the final temperature (T2) is 100°C + 273.15 = 373.15 K.

Substituting the known values into Charles's Law equation:
V2 = V1 * (T2/T1) = 2.50 L * (373.15 K / 77.15 K) = 12.08 L (rounded to two decimal places).

The final volume of the gas at 100°C, assuming no change in pressure, is therefore approximately 12.08 L.

This correct answer is none of the above.