Calculate the energy released when a 28.9 gram piece of paper is cooled from its melting point of 1083 degrees Celsius to 25.0 degrees Celsius. The specific heat of copper is .385 j/g Celsius.

Verified Answer :

use equation: ΔH = MCΔT

M = mass of copper
C 
= specific heat capacity of copper 
ΔT 
= temp. change

ΔH = 28.9 x 385 x 3.9 =43393.35J or 43.39KJ

Answer : The energy released will be, -11771.837 J

Solution :

Formula used :

\(Q=m\times c\times \Delta T=m\times c\times (T_{final}-T_{initial})\)

where,

Q = heat released = ?

m = mass of copper = 28.9 g

c = specific heat of copper = \(0.385J/g^oC\)

\(\Delta T=\text{Change in temperature}\)  

\(T_{final}\) = final temperature = \(25^oC\)

\(T_{initial}\) = initial temperature = \(1083^oC\)

Now put all the given values in the above formula, we get :

\(Q=28.9g\times 0.385J/g^oC\times (25-1083)^oC\)

\(Q=-11771.837J\)

Therefore, the energy released will be, -11771.837 J