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System, Surroundings, Intensive, Extensive Properties

When 50 cc of...

Question

When 50 cc of a strong acid neutralizes 50 cc of a strong base, the temperature rises by $5^{\circ}$ C. Calculate the rise in temperature if 250 cc of each liquid having the same concentration are mixed with one another.

A

25^{\circ}

C

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B

5^{\circ}

C

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C

20^{\circ}

C

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D

10^{\circ}

C

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Solution

The correct option is B $5^{\circ}$ C
Temperature is an intensive property that is independent of the amount of substance.
Not convinced?
If $x J$ of heat is released when 50 cc of acid and base react, then $5 x J$ would be released when 250 cc of the same acid and base react, right?
Also the amount of the solution has also become 5 times!
You know that $q = m C Δ T$
Since $q$ and $m$ increase by the same ratio, $Δ T$ is the same!

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