Final answer:
To raise the temperature of 100.0 grams of water from 25°C to 50°C, 10.46 kJ of heat is needed, using the specific heat capacity of water (4.184 J/g°C) and the formula q = m × c × ΔT.
Step-by-step explanation:
Calculating Heat Required to Raise Water Temperature
To calculate the amount of heat needed to raise the temperature of a substance, we can use the formula:
q = m × c × ΔT
Where:
q is the heat energy in Joules (J) or kilojoules (kJ)
m is the mass of the substance in grams (g)
c is the specific heat capacity (4.184 J/g °C for water)
ΔT is the change in temperature in degrees Celsius (°C)
For 100.0 grams of water, the amount of heat needed to raise the temperature from 25°C to 50°C is:
q = (100.0 g) × (4.184 J/g°C) × (50°C - 25°C)
q = (100.0 g) × (4.184 J/g°C) × (25°C)
q = 10,460 J
Since 1 kJ = 1,000 J, q = 10.46 kJ. Therefore, 10.46 kJ of heat is needed to raise the temperature of 100.0 grams of water from 25°C to 50°C.