Final answer:
To change the temperature of water, you can use the equation q = mcΔT. In this case, 418.4 Joules of heat energy must be added to 5 grams of liquid water to change its temperature from 10°C to 30°C.
Step-by-step explanation:
To calculate the amount of heat energy required to change the temperature of water, we can use the equation:
q = mcΔT
Where:
- q is the heat energy
- m is the mass of the water
- c is the specific heat capacity of water
- ΔT is the change in temperature
In this case, we have:
- m = 5 g
- c = 4.184 J/(g°C) (specific heat capacity of water)
- ΔT = 30°C - 10°C = 20°C
Substituting the values into the equation, we get:
q = 5 g × 4.184 J/(g°C) × 20°C = 418.4 J
Therefore, 418.4 Joules of heat energy must be added to 5 grams of liquid water to change its temperature from 10°C to 30°C.