Answer:
Initial temperature of copper = 163.3 °C
Explanation:
Specific heat capacity:
It is the amount of heat required to raise the temperature of one gram of substance by one degree.
Formula:
Q = m.c. ΔT
Q = amount of heat absorbed or released
m = mass of given substance
c = specific heat capacity of substance
ΔT = change in temperature
ΔT = final temperature - initial temperature
Given data:
Mass of copper = 50 g
Initial temperature of copper = ?
Final temperature = 27.5°C
Initial temperature of water = 25.0°C
Specific heat capacity of copper = 0.385 j/g.°C
Specific heat capacity of water = 4.184 J/g°C
Volume of water = 250.0 mL or 250.0 g
Solution:
Formula:
- Qm = +Qw
Now we will put the values in formula.
-50 g × 0.385 j/g.°C × [ 27.5°C -x] = 250 g × 4.184 J/g°C × [ 27.5°C - 25.0°C]
-50 g × 0.385 j/g.°C × [ 27.5°C -x] = 250 g × 4.184 J/g°C × 2.5°C
-19.25 j/°C × [ 27.5°C -x] = 2615 j
27.5°C -x = 2615 j / -19.25 j/°C
27.5°C -x = -135.8°C
x = 27.5°C + 135.8°C
x = 163.3 °C
