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JIPMER 2013
Exam
JIPMER
Year
2013
Subject
Physics
Chapter
Kinetic Theory of Gases

JIPMER 2013 · Physics · Kinetic Theory of Gases

A balloon contains 500 ~m^3 of helium at 27^ C and 1 atmosphere...

A balloon contains 500 m3500 \mathrm{~m}^3 of helium at 27∘C27^{\circ} \mathrm{C} and 1 atmosphere pressure. The volume of the helium at −3∘C-3^{\circ} \mathrm{C} temperature and 0.5 atmosphere pressure will be

Options

  1. A1000 m31000 \mathrm{~m}^3
  2. B900 m3900 \mathrm{~m}^3
  3. C700 m3700 \mathrm{~m}^3
  4. D500 m3500 \mathrm{~m}^3

Correct answer

B. 900 m3900 \mathrm{~m}^3

Step-by-step solution

Using gas equation law p1V1T1=p2V2T2 or 1×500300=0.5×V2270V2=900m3\begin{aligned} \frac{p_1 V_1}{T_1} & =\frac{p_2 V_2}{T_2} \\ \text{ or } \frac{1 \times 500}{300} & =\frac{0.5 \times V_2}{270} \\ V_2 & =900 \mathrm{ m}^3\end{aligned}
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