Question

1. to solve problems using boyles law, which mathematical equation should be used? a. \\( \frac { p _ { 1 } } { v _ { 1 } } = \frac { p _ { 2 } } { v _ { 2 } } \\) b. \\( p _ { 1 } v _ { 1 } = p _ { 2 } v _ { 2 } \\) c. \\( \frac { v _ { 1 } } { t _ { 1 } } = \frac { v _ { 2 } } { t _ { 2 } } \\) d. \\( p _ { 2 } v _ { 1 } = p _ { 1 } v _ { 2 } \\) e. none of the above

Explanation:

Boyle's Law states that for a given mass of an ideal gas at a constant temperature, the pressure \(P\) and volume \(V\) are inversely proportional. Mathematically, this is expressed as \(P_1V_1 = P_2V_2\), where \(P_1\) and \(V_1\) are the initial pressure and volume, and \(P_2\) and \(V_2\) are the final pressure and volume.

Answer:

B. \(P_1V_1 = P_2V_2\)