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Answer :
Final answer:
The work done when a gas is compressed from 54.1 L to 36.6 L using a constant external pressure of 803 torr is 14052.5 torr·L.
Explanation:
To calculate the work done (w) when a gas is compressed from 54.1 L to 36.6 L using a constant external pressure of 803 torr, we can use the formula:
Work (w) = -PΔV
Where:
w is the work doneP is the external pressureΔV is the change in volumeGiven:
- Initial volume (V1) = 54.1 L
- Final volume (V2) = 36.6 L
- External pressure (P) = 803 torr
Substituting the given values into the formula, we have:
w = -PΔV
First, we calculate the change in volume:
ΔV = V2 - V1
ΔV = 36.6 L - 54.1 L
ΔV = -17.5 L
Now, we can substitute the values into the formula:
w = -(803 torr)(-17.5 L)
w = 14052.5 torr·L
Therefore, the work done when the gas is compressed from 54.1 L to 36.6 L using a constant external pressure of 803 torr is 14052.5 torr·L.
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