Which of the following laws states that with the temperature remaining constant, the volume of a given mass of a gas varies inversely with the pressure of the gas?

Boyle's Law

The correct answer is option 4. Boyle's Law.

The law that states that with the temperature remaining constant, the volume of a given mass of a gas varies inversely with the pressure of the gas is Boyle's Law.

Boyle's Law describes the relationship between the pressure and volume of a gas at constant temperature. It states that when the temperature of a gas remains constant, the volume of the gas is inversely proportional to its pressure. In mathematical terms, Boyle's Law can be expressed as:

\[P_1V_1 = P_2V_2\]

Where:

\(P_1\) and \(P_2\) are the initial and final pressures of the gas,

\(V_1\) and \(V_2\) are the initial and final volumes of the gas.

This law was named after Robert Boyle, an Irish physicist and chemist, who first formulated it in the 17th century.