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Question

Physics Question on kinetic theory

Three containers of the same volume contain three different gases. The masses of the molecules are m1,m2m_1, m_2 and m3m_3 and the number of molecules in their respective containers are N1,N2N_1, N_2 and N3N_3. The gas pressure in the containers are P1,P2P_1, P_2 and P3P_3 respectively. All the gases are now mixed and put in one of these containers. The pressure P of the mixture will be

A

P<(P1+P2+P3)P < (P_1 + P_2 + P_3)

B

P=P1+P2+P33P = \frac{P_1 + P_2 + P_3}{3}

C

P=P1+P2+P3 P = P_1 + P_2 + P_3

D

P>(P1+P2+P3) P > (P_1 + P_2 + P_3)

Answer

P=P1+P2+P3 P = P_1 + P_2 + P_3

Explanation

Solution

According to Dalton?? law of partial pressures, we have P=P1+P2+P3P = P_1 + P_2 + P_3