How many joules are required to raise the temperature of 450 mL of water from 30° C to 100 °C?
Solution:
The density of water is around approximately 1 g/cm3 or 1 g/mL
Therefore,
Mass of water = Density of water × Volume of water
Mass of water = (1 g mL−1) × (450 mL) = 450 g
q = m × C × ΔT
where:
q = amount of heat energy gained or lost by substance (J)
m = mass of sample (g)
C = specific heat capacity (J °C−1 g−1)
ΔT = change in temperature (°C)
m = 450 g
C = 4.184 J °C−1 g−1 (for water)
ΔT = 100°C − 30°C = 70°C
Thus:
q = (450 g) × (4.184 J °C−1 g−1) × (70°C) = 131796 J
q = 131796 J
Answer: 131796 joules are required
Comments
Leave a comment