Question

A 2400 cm3 container holds 0.10 mol of helium gas at 330 ∘C .1.How much work must be done to compress the gas to 1400 cm3 at constant pressure?2.How much work must be done to compress the gas to 1400 cm3 at constant temperature?

Answer 1

To find the work done in compressing the gas at constant pressure, we can use the formula: Work = Pressure * Change in Volume. To find the work done in compressing the gas at constant temperature, we can use the formula: Work = nRT * ln(V2/V1).

Step-by-step explanation:

To find the work done in compressing the gas at constant pressure, we can use the formula:

Work = Pressure * Change in Volume

Work = 1 atm * (1400 cm3 - 2400 cm3)

Work = -1000 cm3 * atm

To find the work done in compressing the gas at constant temperature, we can use the formula:

Work = nRT * ln(V2/V1)

Where n is the number of moles, R is the ideal gas constant, T is the temperature in Kelvin, V2 is the final volume, and V1 is the initial volume.

Work = 0.10 mol * (0.0821 L * atm/mol * K) * ln(1400 cm3 / 2400 cm3)