Question

The gas inside a flexible container (e.g., a balloon) is allowed to expand against a constant external pressure of 1.80 bar until the volume increases from 2.90 L to 7.70 L. Calculate the amount of work done on the system.

Answer 1

The amount of work done on the system is 8.64 bar.L or 8.65 L'atm.

Step-by-step explanation:

The work done by a gas when it expands against a constant external pressure can be calculated using the formula:

Work = External Pressure x Change in Volume

Given that the external pressure is 1.80 bar and the change in volume is from 2.90 L to 7.70 L, we can substitute these values into the formula:

Work = 1.80 bar x (7.70 L - 2.90 L)

Work = 1.80 bar x 4.80 L

Work = 8.64 bar.L or 8.65 L'atm (using the conversion factor 1 bar = 0.9869 L'atm)

Therefore, the amount of work done on the system is 8.64 bar.L or 8.65 L'atm.