How does the pressure of a gas change when it is heated in a sealed container with a constant volume (note: it is not a good idea to do this without special equipment)? A) It will not change because there is no relationship between temperature and pressure. B) It will increase because P₁T₁=P₂T₂. C) It will decrease because P₁T₁=P₂T₂. D) It will increase because P₁/T₁ = P₂/T₂. E) It will decrease because P₁/T₁ = P₂/T₂.

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Quizplus · Accepted Answer

According to the Ideal Gas Law (PV = nRT), when the volume and the number of moles of a gas are constant, the pressure is directly proportional to the temperature. Therefore, when the temperature is increased in a sealed container with constant volume, the pressure of the gas will also increase. This can be mathematically expressed as P1/T1 = P2/T2, where P1 and T1 are the initial pressure and temperature, and P2 and T2 are the final pressure and temperature. Rearranging this equation, we get P2 = P1(T2/T1), which shows that an increase in temperature will result in an increase in pressure.

How Does the Pressure of a Gas Change When It