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$P > ({P_1} + {P_2} + {P_3})$
AIPMT 1991, Medium
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C$P = {P_1} + {P_2} + {P_3}$
c Dalton's Law states that the pressure exerted by a mixture of gases in a fixed volume is equal to the sum of the pressures that would be exerted by each gas alone in the same volume.
Thus, $P=P_{1}+P_{2}+P_{3}$
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