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Question

Chemistry Question on States of matter

A and B are ideal gases. The molecular weights of A and B are in the ratio of 1 : 4. The pressure of a gas mixture containing equal weights of Aand B is P atm. What is the partial pressure (in atm.) of B in the mixture

A

P/5

B

P/2

C

P/2.5

D

3P/4

Answer

P/5

Explanation

Solution

Let MAM_A = a and MBM_B = 4a
wA=wB=m(say)w_A = w_B = m(say)
xB=m/4am/4a+m/a=15x_B = \frac{m/4a}{m/4a + m/a} = \frac{1}{5}
PB=xB×Ptotal=P/5P_B = x_B \times P_{total} = P/5