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JIPMER 2015
Exam
JIPMER
Year
2015
Subject
Physics
Chapter
Thermal Properties of Matter

JIPMER 2015 · Physics · Thermal Properties of Matter

Two rigid boxes containing different ideal gases are placed on...

Two rigid boxes containing different ideal gases are placed on table. Box A contains one mole of nitrogen at temperature T0T_0, while box BB contains 1 mole of helium at temperature 7/3T07 / 3 T_0. The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature (ignore the heat capacity of boxes) then the final temperature of gases, TfT_f in terms of T0T_0 is

Options

  1. A2T05\frac{2 T_0}{5}
  2. B3T07\frac{3 T_0}{7}
  3. C5T03\frac{5 T_0}{3}
  4. D9T07\frac{9 T_0}{7}

Correct answer

C. 5T03\frac{5 T_0}{3}

Step-by-step solution

As, T=n1T1+n2T2n1+n2T=\frac{n_1 T_1+n_2 T_2}{n_1+n_2} ∴Tf=1(T0)+1(73T0)1+1\therefore \quad T_f=\frac{1\left(T_0\right)+1\left(\frac{7}{3} T_0\right)}{1+1} =10T03×2=5T03=\frac{10 T_0}{3 \times 2}=\frac{5 T_0}{3}
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