Hard

A gas occupies 500 cm3 at 2 atm. At constant temperature, what volume will it occupy at 5 atm?

Correct answer: A. 200 cm3

  • A. 200 cm3
  • B. 250 cm3
  • C. 1250 cm3
  • D. 100 cm3

Explanation

Applying P1V1 equal to P2V2 gives V2 equal to 2 times 500 divided by 5, which is 200 cm3. The pressure rose by a factor of 2.5, so the volume must fall by the same factor, and 500 divided by 2.5 is 200. Getting 1250 means the ratio was applied the wrong way round.

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About Boyle's Law

Boyle's law states that the pressure of a fixed mass of gas varies inversely with its volume when temperature remains constant. Problems use the relationship P₁V₁ = P₂V₂, pressure-volume graphs and volume changes, with constant temperature distinguishing it from Charles's law.

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