Which formula combines the Laws of Boyle and Charles?

The formula that combines the Laws of Boyle and Charles is represented as PV/T = a constant. This equation reflects the ideal gas law under the conditions where pressure (P), volume (V), and temperature (T) interact with one another.

Boyle's Law states that for a given amount of gas at constant temperature, the pressure of a gas is inversely proportional to its volume, which can be expressed as P ∝ 1/V when T is constant. On the other hand, Charles's Law states that at constant pressure, the volume of a gas is directly proportional to its absolute temperature, expressed as V ∝ T when P is constant.

By combining these two gas laws, we arrive at the equation PV/T = a constant, which implies that if you change the volume, pressure, or temperature while maintaining the same amount of gas, the relationship among these variables will hold true, reflecting the behavior of an ideal gas.

This understanding allows for calculations in various scenarios in thermodynamics, especially when dealing with gases under different conditions. The correct choice encapsulates both laws in a single equation, illustrating the relationship and dependencies among pressure, volume, and temperature effectively.