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A solution of 500 ml of 0.2 M KOH and 50...

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

A

`T_(1)=T_(2)`

B

`T_(1)=2T_(2)`

C

`T_(1)=4T_(2)`

D

`T_(2)=9T_(1)`

Text Solution

Verified by Experts

The correct Answer is:
A

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)`.
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Knowledge Check

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

    A
    `T_(1) = T_(2)`
    B
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    C
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    D
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    A
    `T_(1)=T_(2)`
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