Final answer:
The amount of heat required to raise the temperature of 5 kg of water by 10 K is 209,000 J.
Step-by-step explanation:
The amount of heat required to raise the temperature of a substance can be calculated using the formula Q = mcΔT, where Q is the heat energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature. In this case, we have 5 kg of water, a specific heat capacity of 4180 J/kgK, and a change in temperature of 10 K.
Plugging in the values into the formula, we get Q = (5 kg) x (4180 J/kgK) x (10 K) = 209,000 J. Therefore, 209,000 J of heat energy is required to raise the temperature of 5 kg of water by 10 K.