If you connect two flasks containing gases of certain pressures, remember that b

Question

If you connect two flasks containing gases of certain pressures, remember that by doing so, you are increasing the volume of each gas, so you need to re-calculate the pressures of each gas after you connect the flasks:

A 1.00 L flask containing gas A at 2.00 atm pressure is connected to a 3.00 L flask containing gas B at 1.00 atm pressure. When the two gases are allowed to mix thoroughly at constant temperature, what is the final pressure in the two-flask assemblage? (Assume that there is no reaction between the gases and that the gases behave ideally.)

A. 3.00 atm

B. 1.25 atm

C. 0.50 atm

D. 0.75 atm

Explanation / Answer

Since the gases behave ideally hence there won't be any drop in pressure due to the gases involved in the reaction

P1 * V1 = n1 * R * T ------- (i)

P2 * V2 = n2 * R * T ------(ii)

when gases are mixed the final volume will become (V1 + V2), now we need to find the final pressure exerted

P*(V1+V2) = P1V1 + P2V2

P = (P1V1 + P2V2)/(V1+V2)

substituting the values we get

P = (2*1 + 1*3)/(1+3) = 5/4 atm = 1.25 atm

Hence the correct answer is Option B

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