Question

A chemical reaction takes place inside a flask submerged in a water bath. The water bath contains of water at . During the reaction of heat flows out of the bath and into the flask. Calculate the new temperature of the water bath. You can assume the specific heat capacity of water under these conditions is_______. Be sure your answer has the correct number of significant digits.

Answer 1

Explanation:

Let us assume that the given data is as follows.

        mass of water = 8.10 kg = 8100 g    (as 1 kg = 1000 g)

        $T_{i} = 33.9^{o}C$ = (33.9 + 273) K = 306.9 K

        $T_{f}$ = ?

        q = 69.0 kJ = 69000 J    (as 1 kJ = 1000 J)

As the relation between heat energy, specific heat and temperature change is as follows.

                  Q = $m \times C \times \Delta T$

Now, putting the given values into the above formula as follows.

                Q = $m \times C \times \Delta T$

              69000 = $8100 g \times 4.18 J/g^{o}C \times (T_{f} - 306.9) K$  

               $T_{f}$ = 309 K

Thus, we can conclude that the new temperature of the water bath is 309 K.