Answer:
To determine the change in temperature of the water in the car engine's cooling system, we can use the specific heat capacity formula:
Q = mcΔT
where Q is the heat energy absorbed or released, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
Given the following values:
Mass of water (m) = 20.0 kg (1 l of water has a mass of 1 kg)
Heat energy (Q) = 836.0 kJ (kilojoules)
Specific heat capacity of water (c) = 4.18 kJ/kg·°C (approximate value)
Converting the heat energy from kilojoules to joules:
Q = 836.0 kJ × 1000 J/kJ = 836000 J
Now we can rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
ΔT = 836000 J / (20.0 kg × 4.18 kJ/kg·°C)
Calculating the change in temperature:
ΔT ≈ 100°C
Therefore, the change in temperature of the water in the car engine's cooling system is approximately 100°C.
Step-by-step explanation: