How Much Heat is Lost from a Swimming Pool?

In summary, the conversation is about determining the amount of heat lost by a swimming pool over a period of 4 hours. The pool starts at a temperature of 32ºC and decreases to 26ºC, with a volume of 1200 liters and using water's specific heat of 4.186 J/gºC. The options for the amount of heat lost are 50.208 J, 40.116 J, 286800000 J, 5776800000 J, and 57768 J. The suggestion given is to use the formula q=mvdeltaT, where m is the mass of water determined by using water's density, v is the volume of water, and deltaT is the change
  • #1
purehavoccc
2
0
woudl anyone know how to do this by any chance?:rolleyes:

The temperature of a swimming pool is 32ºC at 2 p.m. in the afternoon. At 6 p.m., its temperature decreases to 26ºC. Given the pool contains 1200 liters of water and water’s specific heat is 4.186 J/gºC. How much heat does the pool lose to the atmosphere in 4 hours? (Assume 1 lit = 1 kg.)

50.208 J

40.116 J

286800000 J

5776800000 J

57768 J


i have no clue as to which one it is and i need to turn in this exam soon =/
thanks alot, i just need a little help.
 
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  • #2
use waters density to find out how many grams of H20 you have then use
q=mvdeltaT to find q.

Hope this helps.
 
  • #3


Based on the information provided, we can calculate the amount of heat lost from the swimming pool using the formula Q = m x c x ΔT, where Q is the heat lost, m is the mass of water, c is the specific heat of water, and ΔT is the change in temperature.

First, we need to convert the volume of water from liters to kilograms. Since 1 liter is equal to 1 kilogram, the mass of water in the pool is also 1200 kg.

Next, we can calculate the change in temperature by subtracting the initial temperature (32ºC) from the final temperature (26ºC). This gives us a change of 6ºC.

Plugging in these values into the formula, we get Q = (1200 kg) x (4.186 J/gºC) x (6ºC) = 30,000 J.

Therefore, the swimming pool loses 30,000 J of heat to the atmosphere in 4 hours. This corresponds to the answer option of 286800000 J, which is in joules (J).
 

Related to How Much Heat is Lost from a Swimming Pool?

1. How does the temperature of the pool affect heat loss?

The temperature of the pool plays a significant role in heat loss. The larger the temperature difference between the pool water and the surrounding air, the more heat will be lost from the pool.

2. What is the main factor that determines heat loss from a swimming pool?

The main factor that determines heat loss from a swimming pool is the surface area of the pool. The larger the surface area, the more heat will be lost. This is because more surface area means more water is exposed to the surrounding air.

3. Does wind affect the rate of heat loss from a swimming pool?

Yes, wind can greatly affect the rate of heat loss from a swimming pool. Wind causes evaporation, which can cool the water and result in heat loss. Additionally, wind can increase the rate of convection, where heat is transferred from the pool water to the surrounding air.

4. Is there a way to reduce heat loss from a swimming pool?

Yes, there are several ways to reduce heat loss from a swimming pool. Installing a pool cover can greatly reduce heat loss by preventing evaporation and reducing the amount of heat transferred to the surrounding air. Additionally, insulating the pool and using a solar cover can also help reduce heat loss.

5. What is the best way to measure the amount of heat lost from a swimming pool?

The best way to measure the amount of heat lost from a swimming pool is by using a heat loss calculator. This takes into account factors such as pool size, temperature difference, wind speed, and humidity to accurately estimate the amount of heat lost. Alternatively, a pool thermometer can also be used to measure the temperature change over a period of time to determine the rate of heat loss.

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