Navy Nuclear Practice Exam

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According to Charles' Law, what is the relationship between volume and temperature?

PV = nRT

V1/T1 = V2/T2

The relationship between volume and temperature, as described by Charles' Law, states that the volume of a gas is directly proportional to its temperature when the pressure is held constant. This can be mathematically expressed as V1/T1 = V2/T2, where V is the volume, T is the temperature, and the subscripts refer to the initial (1) and final (2) states of the gas.

This law illustrates that if the temperature of a gas increases, its volume also increases, provided that the pressure does not change. Conversely, if the temperature decreases, the volume decreases as well. This principle is crucial for understanding gas behavior in various applications and fields, including those encountered in the Navy Nuclear program, where precise gas measurements can be critical.

The other options present different gas laws or relationships: the first describes the ideal gas law, which encompasses pressure, volume, and temperature with respect to the number of gas molecules; the third statement relates to Boyle's Law, which describes the relationship between pressure and volume at a constant temperature; while the last option simply mentions density, which involves mass and volume but not the specific relationship depicted by Charles' Law. Thus, the answer B accurately reflects the correct relationship defined by Charles' Law.

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P1V1 = P2V2

mass/volume

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