Solar-heated water, farmer

In summary, a farmer stores 859 kg of solar-heated water in barrels to keep his barn warm on cold days. To provide the same amount of heat, a 2.02 kW electric space heater would need to operate for approximately 91 hours as the water cools from 11.3 to 0 °C and completely freezes. However, the calculation for the heater should take into account that it is a 2.02 kW heater, not a 1 kW heater.
  • #1
rlc
128
1

Homework Statement


To help keep his barn warm on cold days, a farmer stores 859 kg of solar-heated water (Lf = 3.35E+5 J/kg) in barrels. For how many hours would a 2.02 kW electric space heater have to operate to provide the same amount of heat as the water does, when it cools from 11.3 to 0 °C and completely freezes?

Homework Equations


Q=mc(deltaTdegC)+mL

The Attempt at a Solution


Q=(859)(4187)(11.3)+(859)(335000)
Q=328406952 J
1kW=1000W=1000J/sec
1000t=328406952 J
t=328406 secs*1min/60secs*1hour/60mins=91 hours

But this is wrong. What am I missing?
 
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  • #2
You have calculated for a 1000w heater.
 
  • #3
You're correct that 1 kW = 1000 J/sec. But the heater is a 2.02 kW heater, not a 1 kW heater.

[Edit: like NascentOxygen said.]
 

1. What is solar-heated water for farmers?

Solar-heated water for farmers is a system that uses the sun's energy to heat water for agricultural purposes. It involves using solar panels to capture the sun's rays and transfer that energy to a water tank or system, providing a sustainable and cost-effective way to heat water for farming activities.

2. How does solar-heated water benefit farmers?

Solar-heated water provides several benefits for farmers, including reduced energy costs, increased water availability, and environmental sustainability. By using the sun's energy, farmers can save money on traditional heating methods and have a more dependable and renewable water source for their crops and livestock.

3. Can solar-heated water be used for all farming operations?

Yes, solar-heated water can be used for a variety of farming operations, including crop irrigation, livestock watering, and cleaning equipment. It can also be used in remote locations where traditional energy sources are not readily available.

4. Is solar-heated water a reliable source of water for farmers?

Yes, solar-heated water is a reliable source of water for farmers. The system is designed to capture and store the sun's energy, providing a consistent and renewable source of heat for water. It is also low maintenance and has a long lifespan, making it a dependable option for agricultural water needs.

5. Are there any drawbacks to using solar-heated water for farming?

One potential drawback of using solar-heated water for farming is the initial investment cost. While it can save money in the long run, the installation and equipment costs may be higher than traditional heating methods. Additionally, the system may not be suitable for areas with low sunlight or high levels of precipitation.

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