Question

How much energy is needed to raise the temperature of 2.0 g of water by 5.0°C?

Answer 1

`41.8J`

Explanation:

The equation for working out the amount of thermal energy required is `q = mcDeltaT`, where `q` is the amount of energy, `m` is the mass being heated up in grams, `c` is the specific heat capacity of what you're heating up in joules per gram per kelvin, and `DeltaT` is the change in temperature in degrees Celsius or Kelvin (technically it should be in Kelvin but for a change in temperature, Celsius is the same as Kelvin).
In this case, the mass is 2.0g, the specific heat capacity of water is 4.18J/g/K, and the change in temperature is `5.0°C = 5K`, therefore the energy needed to raise it is: `5xx2xx4.18 = 41.8J`.
This is only theoretical though, in the real world a lot of heat would be lost to the surroundings, so it would require more energy than this.