Which equation represents the combined gas law?

The correct option is P1V1 / T1 = P2V2 /T2.

The combine gas law states that the ratio of the product of pressure, volume and absolute temperature of a gas is always a constant. Mathematically, the law is represented by P1V1 / T1 = P2V2 /T2; where

P1 and P2 = Initial and final pressure of the gas

V1 and V2 = Initial volume and the final volume of the gas

T1 and T2 = Initial temperature and final temperature of the gas.

Combine gas law was formed by the combination of Boyle's law, Charles' law and Gay Lussac's law.

Explanation :

Combined gas law comes from the combination of Boyle's law, Charles law and Gay Lussac's law.

According to Boyle's law,

At constant temperature, pressure of a gas is inversely proportional to its volume.

i.e.

..........(1)

Where,

P is the pressure of gas

V is the volume of gas

According to Charles law,

At constant pressure, volume of a gas is directly proportional to its temperature.

i.e.

..............(2)

Where, T is the temperature.

According to Gay Lussac's law,

At constant volume, pressure of gas is directly proportional to its temperature.

i.e.

..............(3)

Combining equation (1) (2) and (3)

...............(4)

Equation (4) is the combined gas law.

Or,

So, correct option is (c).

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