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Question 14.1: How much work is required to compress a gas from a volume of......

How much work is required to compress a gas from a volume of 5.0 L to a volume of 2.5 L by exerting a constant pressure of 1.5 atm?

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We use Equation 14.3:

w = –P\Delta V = –P(V_{f} –V_{i})      (14.3)

= –(1.5\ atm)(2.5\ L – 5.0\ L) = 3.8\ L·atm = (3.8\ L·atm)\left(\frac{101.325\ J}{1\ L·atm} \right) =380\ J

The work is positive, meaning that we have done work on the system; or, in other words, energy was transferred from the surroundings to the gas (system). The energy of the system is greater after it is compressed.

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