Calculate the energy (kJ) required to raise the temperature of 22g of water from 12 C to 90 C.
q = mass H2O x specific heat H2O x (Tfinal-Tinitial)
To calculate the energy (kJ) required to raise the temperature of water, we can use the formula:
Q = m * C * ΔT
Where:
Q = energy (in joules)
m = mass of the water (in grams)
C = specific heat capacity of water (4.18 J/g°C)
ΔT = change in temperature (in °C)
First, let's convert the mass from grams to kilograms:
mass = 22g = 0.022kg
Next, let's calculate the change in temperature:
ΔT = final temperature - initial temperature
ΔT = 90°C - 12°C = 78°C
Now we can substitute these values into the formula:
Q = 0.022kg * 4.18 J/g°C * 78°C
Next, let's convert the answer from joules (J) to kilojoules (kJ):
1 kJ = 1000 J
Q(kJ) = Q(J) / 1000
Now, let's calculate the energy required:
Q = 0.022kg * 4.18 J/g°C * 78°C = 6.13236 J
Q(kJ) = 6.13236 J / 1000 = 0.00613 kJ
Therefore, the energy required to raise the temperature of 22g of water from 12°C to 90°C is approximately 0.00613 kJ.