Three closed vessels A, B and C are at the same temperature T and contain gases which…

CHEMISTRY · Single correct · IB Diploma Programme · Chemistry · Ideal gases · Introduction to the particulate nature of matter

Problem

Three closed vessels A, B and C are at the same temperature T and contain gases which obey the Maxwellian distribution of velocities. Vessel A contains only O2\text{O}_2, B only N2\text{N}_2 and C a mixture of equal quantities of O2\text{O}_2 and N2\text{N}_2. If the average speed of the O2\text{O}_2 molecules in vessel A is v1v_1 and that of the N2\text{N}_2 molecules in vessel B is v2v_2, what is the average speed of the O2\text{O}_2 molecules in vessel C? (1) v1+v22\frac{v_1 + v_2}{2} (2) v1v_1 (3) (v1⋅v2)2(v_1 \cdot v_2)^2 (4) 3kTM\sqrt{\frac{3kT}{M}}

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