Chemical Thermodynamics Question 200
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 $ .
