The pressure of a certain amount of gas is directly proportional to the temperature (measured in degrees Kelvin) and inversely proportional to the volume. A sample of gas at a pressure of 1 atmosphere occupies a volume of 1 cubic meter at a temperature of 277 Kelvin. When heated, the gas expands to twice its volume, but the pressure remains constant. To what temperature is it heated?
A) 569 Kelvin
B) 554 Kelvin
C) 590 Kelvin
D) 632 Kelvin
E) 533 Kelvin

Question

Quizplus · Accepted Answer

The relationship between pressure, volume, and temperature for a given amount of gas is described by the ideal gas law, which can be expressed as $P \propto \frac{T}{V}$, where $P$ is the pressure, $T$ is the temperature in Kelvin, and $V$ is the volume. Given that the volume doubles and the pressure remains constant, the temperature must also double to maintain the relationship. Therefore, the new temperature is $277 \times 2 = 554$ Kelvin.

The Pressure of a Certain Amount of Gas Is Directly