Question

Three containers 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

• A. $P < (P_{1} + P_{2} + P_{3})$
• B. $P = \frac{P_{1} + P_{2} + P_{3}}{3}$
• C. $P = P_{1} + P_{2} + P_{3}$
• D. $P > (P_{1} + P_{2} + P_{3})$

Answer 1

Answer: (C)

$P = P_{1} + P_{2} + P_{3}$

Answer 2

According to the Dalton’s law of partial pressures, the total pressure will be $P_{1} + P_{2} + P_{3}.$