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Thermodynamics and engines (A-level only)

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Question 2

In an ideal heat-engine cycle, a fixed mass of air is taken through the following processes:

  • A→B\text{A} \rightarrow \text{B}A→B: isothermal compression from an initial pressure of 1.2×105 Pa1.2 \times 10^5\text{ Pa}1.2×105 Pa and a volume of 8.0×10−2 m38.0 \times 10^{-2}\text{ m}^38.0×10−2 m3 to a pressure of 2.4×105 Pa2.4 \times 10^5\text{ Pa}2.4×105 Pa.
  • B→C\text{B} \rightarrow \text{C}B→C: increase in volume at constant pressure to a volume of 6.0×10−2 m36.0 \times 10^{-2}\text{ m}^36.0×10−2 m3.
  • C→D\text{C} \rightarrow \text{D}C→D: isothermal expansion to a pressure of 1.2×105 Pa1.2 \times 10^5\text{ Pa}1.2×105 Pa.
  • D→A\text{D} \rightarrow \text{A}D→A: reduction in volume at constant pressure back to the original volume.

Calculate:

1.

The volume of the gas at point B\text{B}B.

[3]
2.

The temperature of the air at point C\text{C}C, given that the temperature of the air during the isothermal process A→B\text{A} \rightarrow \text{B}A→B is 300 K300\text{ K}300 K.

[3]

Thermodynamics and engines (A-level only) Questions

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