AP Chemistry Exam Prep

Category - AP Chemistry

A fixed quantity of a gas undergoes a change in temperature from 100 K to 200 K and a change in pressure from 2 atm to 1 atm. After theses changes, the volume of the gas is
  1. Half of the original volume
  2. Unchanged
  3. Twice the original volume
  4. Four times the original volume
  5. Eight times the original volume
Explanation
Answer: Four times the original volume

The pressure, temperature, and volume of a gas are related by the ideal gas law, PV=nRT. Solving for volume gives the equation V=(nRT/P). The molar quantity of gas (n) is constant, so the equation reduces to V=T/P. In the context of the question, temperature is doubled while pressure is halved, resulting in a four-fold increase in volume.
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