# Temperature of sun-water heating

• Bassalisk
In summary, the problem provides information about a pot of water exposed to the Sun and its resulting temperature increase. However, there are some missing variables such as specific heat and distance to the Sun. By finding the total heat energy absorbed by the water and calculating the solar constant, you can determine the total energy output of the Sun and its corresponding temperature.
Bassalisk

## Homework Statement

In open wide pot exists a certain amount of water, which has mass m=6,5 kg, which free surface has S=960 cm^2. When this amount of water is exposed to Sun, then its temperature gets higher by deltaT=10 K for time t=30 mins. What is the temperature of Sun?
Sun radiates as absolute black body and that surface of the pot is perpendicular to the sun rays. Absorption of atmosphere of Sun and Earth overrule.

E=sigma*T^4

## The Attempt at a Solution

Problem here is that I am bit confused. Is something missing in this problem? Like some variables? How could I calculate the energy that water received without C(constant of thermal conduction)

Just need a little push here.

Thanks

You'll need a few more constants to work this out. You should be able to find the specific heat of water, the distance to the Sun, and the Sun's radius.

If you find the total heat energy absorbed by the water (use the specific heat), and you assume that all the heat entered via the water's surface area, you should be able to calculate the solar constant (W/m^2) and then find the total energy output of the Sun (what's the total energy flux through a spherical surface at the Earth's distance from the Sun?).

What temperature would the Sun have to be in order for it to radiate this amount of energy per unit time over its surface area?

gneill said:
You'll need a few more constants to work this out. You should be able to find the specific heat of water, the distance to the Sun, and the Sun's radius.

If you find the total heat energy absorbed by the water (use the specific heat), and you assume that all the heat entered via the water's surface area, you should be able to calculate the solar constant (W/m^2) and then find the total energy output of the Sun (what's the total energy flux through a spherical surface at the Earth's distance from the Sun?).

What temperature would the Sun have to be in order for it to radiate this amount of energy per unit time over its surface area?

Yea I had to take constants out of the table and solve it. Got the result ~6k K

## 1. What is the ideal temperature for sun-water heating?

The ideal temperature for sun-water heating depends on various factors, such as the location and climate. Generally, a temperature range of 100-120 degrees Fahrenheit is considered ideal for most solar water heating systems.

## 2. How does the temperature of the sun affect water heating?

The sun's temperature plays a crucial role in solar water heating. The higher the sun's temperature, the more energy it can transfer to the water, resulting in a faster heating process. However, extreme temperatures can also damage the solar panels and decrease their efficiency.

## 3. Can the temperature of the sun affect the efficiency of solar water heating?

Yes, the temperature of the sun can affect the efficiency of solar water heating. Solar panels are designed to work best at certain temperatures. If the sun's temperature is too low or too high, it can decrease the efficiency of the solar panels and result in slower water heating.

## 4. How does the temperature of the water impact solar water heating?

The temperature of the water can also affect solar water heating. Colder water takes longer to heat up, while warmer water can reach the desired temperature more quickly. Additionally, if the water is too hot, it can cause damage to the solar panels, reducing their efficiency.

## 5. Is the temperature of the sun consistent for solar water heating?

No, the temperature of the sun is not consistent for solar water heating. It varies depending on factors like time of day, season, and location. This is why it is essential to consider these factors when designing a solar water heating system to ensure optimal efficiency.

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