Question

which equation represents the combined gas law?
\\( \frac { p _ { 1 } t _ { 1 } } { n _ { 2 } v _ { 2 } } = \frac { p _ { 2 } t _ { 2 } } { n _ { 1 } v _ { 1 } } \\)
\\( \frac { p _ { 1 } t _ { 1 } } { n _ { 1 } v _ { 1 } } = \frac { p _ { 2 } t _ { 2 } } { n _ { 2 } v _ { 2 } } \\)
\\( \frac { p _ { 1 } v _ { 1 } } { n _ { 1 } t _ { 1 } } = \frac { p _ { 2 } v _ { 2 } } { n _ { 2 } t _ { 2 } } \\)
\\( \frac { p _ { 1 } n _ { 1 } } { t _ { 1 } v _ { 1 } } = \frac { p _ { 2 } n _ { 2 } } { t _ { 2 } v _ { 2 } } \\)

Explanation:

The combined gas law relates pressure (P), volume (V), temperature (T), and amount of substance (n) for a gas. It is derived from the ideal gas law \( PV = nRT \), where \( R \) is the gas constant. Rearranging for constant \( R \) gives \( \frac{PV}{nT} = R \), so the ratio \( \frac{PV}{nT} \) is constant between two states of the gas.

Answer:

\( \frac{P_1V_1}{n_1T_1} = \frac{P_2V_2}{n_2T_2} \)