The Temperature formula is given by,
Δ T = Q / mc
Where,
Δ T = temperature difference,
Q = amount of heat absorbed or released,
m = mass of the body,
c = specific heat of the body.
Example 1
Determine the temperature if 200 J of heat is released by the body of mass 6 Kg and has a specific heat of 0.8 J/KgoC .
Solution:
Given:
Heat released Q = 200 J,
Mass m = 6 Kg,
Specific Heat c = 0.8 J/KgoC
The temperature is given by ΔT = Q / mc
= 200 / 6 x 0.8
ΔT= 41.66oC .
Example 2
Determine the heat released when the temperature changes by 40oC by a body of mass 3 Kg which has a specific heat of 0.7 J/kgoC .
Solution:
Given:
Temperature change = 40oC ,
Mass m = 3 kg,
Specific heat c = 0.7 J/kgoC ,
The Heat released is given by formula Q = mc ΔT
= 3 × 0.7 × 40
Q = 84 J