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

JIPMER 2017 · Chemistry · States of Matter

The compressibility of a gas is less than unity at STP, therefore

The compressibility of a gas is less than unity at STP, therefore

Options

  1. AVm>22.4 LV_m\gt22.4 \mathrm{~L}
  2. BVm<22.4 LV_m \lt 22.4 \mathrm{~L}
  3. CVm=22.4 LV_m=22.4 \mathrm{~L}
  4. DVm=44.8 LV_m=44.8 \mathrm{~L}

Correct answer

B. Vm<22.4 LV_m \lt 22.4 \mathrm{~L}

Step-by-step solution

Since, compressibility (Z)=pVnRT(Z)=\frac{p V}{n R T} for ZZ less than unity pVnRT<1\frac{p V}{n R T} \lt 1 or, pV<nRTp V \lt n R T [At STP, p=1p=1 atm⁡,T=273 K,R=0.0821 L atm K−1\operatorname{atm}, T=273 \mathrm{~K}, R=0.0821 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} ] i.e. V<1×0.0821×273V \lt 1 \times 0.0821 \times 273 Thus, V<22.4 LV \lt 22.4 \mathrm{~L}
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