Chemical Thermodynamics Question 18

Question: A solution of $ 500ml $ of $ 0.2,M,KOH $ and $ 500,ml $ of $ 0.2,M,HCl $ is mixed and stirred; the rise in temperature is $ T_1 $ . The experiment is repeated using $ 250,ml $ each of solution, the temperature raised is $ T_2 $ . Which of the following is true [EAMCET 1987; MP PET 1994]

Options:

A) $ T_1=T_2 $

B) $ T_1=2T_2 $

C) $ T_1=4T_2 $

D) $ T_2=9T_1 $

Show Answer

Answer:

Correct Answer: A

Solution:

Suppose heat evolved in Ist case is $ Q_1 $ and that in the IInd case it is $ Q_2 $ . Then $ Q_2=\frac{1}{2}{Q_{1.}} $ But $ Q_1=1000,T_1 $ and $ Q_2=500,T_2 $

$ \therefore 500T_2=\frac{1}{2}\times 1000T_1i.e.,T_2=T_1 $ .



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