Question

A chemical reaction takes place inside a flask submerged in a water bath. The water bath contains 8.10kg of water at 33.9 degrees celsius . During the reaction 69.0kJ of heat flows out of the bath and into the flask.
Required:
Calculate the new temperature of the water bath. You can assume the specific heat capacity of water under these conditions is 4.18J*g*K. Round your answer to 3 significant digits.

Answer 1

Answer:

$T_F=31.9^0C$

Explanation:

Hello,

In this case, the energy content is modeled via:

$Q=mCp(T_F-T_0)$

Since the unknown is the final temperature, it is solved by:

$T_F=T_0+\frac{Q}{mCp} =33.9^0C+\frac{-69.0kJ}{8.10kg*4.18\frac{kJ}{kg*^0C}} \\T_F=31.9^0C$

The heat is negative since it flows out of the bath that is the considered system.

Best regards.