Answer :
Final answer:
To calculate the work associated with a system when its volume is compressed, use the formula Work = P * ΔV, where P is the constant pressure and ΔV is the change in volume. In this question, the volume is compressed from 97.6 L to 37.5 L against a constant pressure of 0.84 bar. The calculated value of work is 50.484 J.
Explanation:
The work done by a system can be calculated using the formula Work = P * ΔV, where P is the constant pressure and ΔV is the change in volume. To calculate the work in this scenario, we need to find the change in volume, which is given by ΔV = V2 - V1. Plugging in the values, we have ΔV = 37.5 L - 97.6 L = -60.1 L. Since the volume has decreased, the change is negative.
Now, we can calculate the work: Work = (-0.84 bar) * (-60.1 L) = 50.484 J. Therefore, the work associated with this system when its volume is compressed from 97.6 L to 37.5 L against a constant pressure of 0.84 bar is 50.484 J.
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