A solution of 500 ml of 0.2 M KOH and 500ml of 0.2 M HCl is mixed and stirred, the rise in temperature is `T_(1)`. The experiment is repeated using 250ml each of solution, the temperature raised is `T_(2)`. Which of the following is true

Options

A. `T_(1)=T_(2)`
B. `T_(1)=2T_(2)`
C. `T_(1)=4T_(2)`
D. `T_(2)=9T_(1)`

Answer

A

Explanation

Suppose heat evolved in `I^(st)` case is `Q_(1)` and that in the `II^(nd)` case it is `Q_(2)`. Then `Q_(2)=(1)/(2)Q_(1)`
But `Q_(1)=1000T_(1) and Q_(2)=500T_(2)`
`therefore500T_(2)=(1)/(2)xx1000 T_(1)i.e.T_(2)=T_(1)`.