Answer: Thus 663 J of heat is released when 27.6 g
cools from 83.1 °C to 55.6 °C
Step-by-step explanation:
The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity.
![Q=m* c* \Delta T](https://img.qammunity.org/2021/formulas/chemistry/college/bmuy6de1kvw5h4153qy8bhwidst5lsdnv6.png)
Q = Heat released = ?
m = mass of substance = 27.6 g
C = specific heat capacity =
![0.874J/g^0C](https://img.qammunity.org/2021/formulas/chemistry/college/148ft1ii3o91oj91e82peqvngbgwjsfaef.png)
Initial temperature=
=
![83.1^0C](https://img.qammunity.org/2021/formulas/chemistry/college/ddgs3zijomqj2e0bs0vetw2v8egbloozzq.png)
Final temperature =
=
![55.6^0c](https://img.qammunity.org/2021/formulas/chemistry/college/yibjd5nk6wccdww2ewy2wvyxccm106ksao.png)
Change in temperature ,
![\Delta T=T_f-T_i=(55.6-83.1)^0C=-27.5^0C](https://img.qammunity.org/2021/formulas/chemistry/college/k5vpwp5m1x4dcukf2i0q5lpinnd9wyxx4z.png)
Putting in the values, we get:
![Q=27.6g* 0.874J/g^0C* -27.5^0C=-663J](https://img.qammunity.org/2021/formulas/chemistry/college/l7y1z6l8m7cglkffsyr38h3b22af3qzqpu.png)
As the value of q is negative, it means the heat has been released and it is 663J