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What is [tex] w [/tex] when a gas is compressed from [tex] 54.1 \, \text{L} [/tex] to [tex] 36.6 \, \text{L} [/tex] using a constant external pressure of [tex] 803 \, \text{torr} [/tex]?

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 volume

Given:

  • 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.

Learn more about calculating work done during compression of a gas here:

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