Contrast Charles's law with Boyle's law.

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Charles's law and Boyle's law are both gas laws that describe the relationships between pressure, volume, and temperature of a gas. However, they differ in the specifics of their observations and mathematical formulations.

Charles's Law:
- Charles's law states that at a constant pressure, the volume of a gas is directly proportional to its temperature.
- It is expressed mathematically as V ∝ T or V/T = k, where V is volume, T is temperature, and k is a constant.
- According to Charles's law, as the temperature of a gas increases, its volume also increases, and vice versa.
- This law is applicable when pressure and amount of gas are kept constant.

Boyle's Law:
- Boyle's law states that at a constant temperature, the pressure of a gas is inversely proportional to its volume.
- It is mathematically expressed as P ∝ 1/V or PV = k, where P is pressure, V is volume, and k is a constant.
- Boyle's law implies that as pressure increases, the volume of the gas decreases, and vice versa, when temperature is held constant.
- This law is applicable when the temperature and amount of gas are kept constant.

In summary, Charles's law relates volume and temperature at a constant pressure, whereas Boyle's law relates pressure and volume at a constant temperature.
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