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AIIMS 2017
Exam
AIIMS
Year
2017
Subject
Chemistry
Chapter
States of Matter

AIIMS 2017 · Chemistry · States of Matter

The density of a gas A is thrice that of a gas B at the same...

The density of a gas AA is thrice that of a gas BB at the same temperature. The molecular weight of gas BB is twice that of AA. What will be the ratio of the pressures acting on BB and AA ?

Options

  1. A14\frac{1}{4}
  2. B78\frac{7}{8}
  3. C25\frac{2}{5}
  4. D16\frac{1}{6}

Correct answer

D. 16\frac{1}{6}

Step-by-step solution

dp=MRT\frac{d}{p}=\frac{M}{R T} Let density of gas BB be dd. ∴\therefore \quad density of gas A=3 dandletmolecularweightofAand let molecular weight of A be MM. ∴\therefore molecular weight of B=2MB=2 M Since, RR is gas constant and TT is same for both gases, so pA=dARTMA and pB=dBRTMBpBpA=dBdA×MAMB=d3d×M2M=16\begin{aligned} & p_A=\frac{d_A R T}{M_A} \text{ and } p_B=\frac{d_B R T}{M_B} \\ & \frac{p_B}{p_A}=\frac{d_B}{d_A} \times \frac{M_A}{M_B}=\frac{d}{3 d} \times \frac{M}{2 M}=\frac{1}{6}\end{aligned}
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