Rise in temperature is 15°C.
Explanation:
We know that
Q = m [tex]\times[/tex] c [tex]\times[/tex] ΔT
Q - heat required
m - mass of the substance
c - specific heat capacity
ΔT - change in temperature
Given :
1 cup of water = 250 mL =250 g
specific heat capacity of water = 4.184 J/g°C
temperature rises by 5°C
[tex]Q = 250 \times 4.184 \times 5[/tex]
[tex]Q = 5230 J[/tex]
If three times of heat is added
[tex]Q = 5230 \times 3[/tex]
[tex]Q = 15690 J[/tex]
Therefore
[tex]15690 = 250 \times 4.184 \times \triangle T[/tex]
[tex]\triangle T = \frac{15690}{250 \times 4.184}[/tex]
[tex]\triangle T = 15[/tex]
Rise in temperature is 15°C.
