Three containes of the same volume contain three different gases. The masses of the molecules are `m_(1), m_(2)` and `m_(3)` and the number of molecules in their respective containers are `N_(1), N_(2)` and `N_(3)`. The gas pressure in the containers are `P_(1), P_(2)` and `P_(3)` respectively. All the gases are now mixed and put in one of the containers. The pressure `P` of mixture will be

Options

A. `P lt (P_(1) + P_(2) + P_(3))`
B. `P = (P_(1) + P_ (2)+ P_(3))/(3)`
C. `P = P_(1) + P_(2) + P_(3)`
D. `P gt (P_(1) + P_(2) + P_(3))`

Answer

C

Explanation

`P = P_(1) + P_(2) + P_(3)` (Dalton's law of partial pressures)