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JIPMER 2015
Exam
JIPMER
Year
2015
Subject
Chemistry
Chapter
States of Matter

JIPMER 2015 · Chemistry · States of Matter

0.40 g of helium in a bulb at a temperature of T ~K had a pressure...

0.40 g of helium in a bulb at a temperature of T KT \mathrm{~K} had a pressure of pp atm. When the bulb was immersed in water bath at temperature 50 K more than the first one, 0.08 g of gas had to be removed to restore the original pressure. TT is

Options

  1. A500 K
  2. B400 K
  3. C600 K
  4. D200 K

Correct answer

D. 200 K

Step-by-step solution

As pressure and volume remains constant, n1T1=n2T2n1=0.44=0.1,T1=TKn2=0.40−0.084=0.08,T2=(T+50)K\begin{aligned} n_1 T_1 & =n_2 T_2 \\ n_1 & =\frac{0.4}{4}=0.1, T_1=T \mathrm{ K} \\ n_2 & =\frac{0.40-0.08}{4}=0.08, T_2=(T+50) \mathrm{K}\end{aligned} On putting the values, 0.1×T=0.08×(T+50) or 0.1T=0.08T=4 or 0.1T−0.08T=4 or 0.02T=4 or T=200K\begin{array}{ll} & 0.1 \times T=0.08 \times(T+50) \\ \text{ or } & 0.1 \mathrm{ T}=0.08 T=4 \text{ or } 0.1 \mathrm{ T}-0.08 \mathrm{ T}=4 \\ \text{ or } & 0.02 T=4 \text{ or } T=200 \mathrm{ K}\end{array}
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