Final answer:
To raise the temperature of 5.00 g of water from 25.1°C to 65.3°C, 842.52 joules of heat are required, calculated using the water's specific heat capacity and change in temperature.
Step-by-step explanation:
The student asked how many joules of heat are needed to raise the temperature of 5.00 g of water from 25.1°C to 65.3°C. The specific heat capacity of liquid water is given as 4.18 J/g°C. To calculate the heat (q) required, we use the formula q = mass × specific heat capacity × ΔT, where ΔT is the change in temperature.
ΔT = final temperature - initial temperature
ΔT = 65.3°C - 25.1°C
ΔT = 40.2°C
Now, let's calculate the heat required:
q = 5.00 g × 4.18 J/g°C × 40.2°C
q = 842.52 J
Therefore, 842.52 joules of heat are needed to raise the temperature of 5.00 g of water from 25.1°C to 65.3°C.