Worksheet: Types of Work

In this worksheet, we will practice describing the mechanisms of pressure–volume and mechanical work in chemical and physical processes.

Q1:

Consider a gas for which the equation of state 𝑃 ( 𝑉 = 𝑏 ) = 𝑅 𝑇 (with 𝑏 = 0 . 0 4 / d m m o l ) can be used to describe its 𝑃 𝑉 𝑇 behavior. Suppose a 2 mol sample of this gas is compressed isothermally and reversibly from an initial volume of 10 dm3 to a final volume of 1 dm3. How much work ( 𝑤 ) is done on the gas sample in this compression process, and how much is the internal energy ( 𝑈 ) of the gas changed?

  • A 𝑤 = 5 . 8 5 k J , Δ 𝑈 = 0
  • B 𝑤 = 1 1 . 7 k J , Δ 𝑈 = 1 1 . 7 k J
  • C 𝑤 = 5 . 8 5 k J , Δ 𝑈 = 5 . 8 5 k J
  • D 𝑤 = 1 1 . 9 k J , Δ 𝑈 = 0

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