1kg of water contained in a metal container is heated with 1me immersion heaterif the temperature roses from 25c to 45c in 100s what is the average rate of heat loss to the surroundings from the container during this time?
To calculate the average rate of heat loss to the surroundings from the container, we can use the formula:
Rate of heat loss = (Change in heat energy) / (Change in time)
First, let's calculate the change in heat energy. The heat energy gained by the water can be calculated using the formula:
Heat energy gained = mass * specific heat capacity * change in temperature
Mass of water (m) = 1 kg
Specific heat capacity of water (c) = 4,186 J/kg°C (approximate value)
Change in temperature (ΔT) = 45°C - 25°C = 20°C
Heat energy gained = 1 kg * 4,186 J/kg°C * 20°C = 83720 J
Next, let's calculate the change in time:
Change in time (Δt) = 100 s
Now we can substitute the values into the formula to find the average rate of heat loss:
Rate of heat loss = (Change in heat energy) / (Change in time)
Rate of heat loss = 83720 J / 100 s = 837.2 J/s
Therefore, the average rate of heat loss to the surroundings from the container during this time is approximately 837.2 J/s.