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The temperature at the surface of the Sun is about \(6000 \mathrm{K}\). Convert this temperature to the (a) Celsius and (b) Fahrenheit scales.

Short Answer

Expert verified
The Sun's surface temperature is 5726.85°C or 10340.33°F.

Step by step solution

01

Convert Kelvin to Celsius

To convert a temperature from Kelvin to Celsius, use the formula: \[ T_{C} = T_{K} - 273.15 \] where \( T_{C} \) is the temperature in Celsius and \( T_{K} \) is the temperature in Kelvin. For the Sun:\[ T_{C} = 6000 - 273.15 = 5726.85 \mathrm{C} \]
02

Convert Celsius to Fahrenheit

Next, convert the Celsius temperature to Fahrenheit using the formula: \[ T_{F} = T_{C} \times \frac{9}{5} + 32 \]where \( T_{F} \) is the temperature in Fahrenheit. Substituting the value from Step 1:\[ T_{F} = 5726.85 \times \frac{9}{5} + 32 = 10340.33 \mathrm{F} \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Kelvin to Celsius conversion
Understanding how to convert Kelvin to Celsius is important when working with scientific temperatures, as Kelvin is often used in scientific calculations and experiments. The Kelvin scale is an absolute temperature scale, with zero Kelvin representing absolute zero, the lowest possible temperature where matter has minimal thermal motion. To convert Kelvin (\( T_K \)) to Celsius (\( T_C \)), you simply subtract 273.15 from the Kelvin temperature. This is because the Celsius scale is offset by 273.15 degrees from the Kelvin scale. The formula for this conversion is:\[ T_{C} = T_{K} - 273.15 \]For example, if the surface temperature of the Sun is 6000 Kelvin, we can find the temperature in Celsius by calculating:- 6000 - 273.15 = 5726.85Thus, 6000 Kelvin equals 5726.85 degrees Celsius. By mastering these conversion formulas, you can easily switch between these two temperature scales, which is particularly useful in scientific contexts.
Celsius to Fahrenheit conversion
Converting temperatures from Celsius to Fahrenheit is useful in everyday life, especially in countries that use the Fahrenheit scale for weather, cooking, and other applications. The Fahrenheit scale is different from Celsius, primarily because of its different zero points and increments.To convert Celsius to Fahrenheit, use the following formula:\[ T_{F} = T_{C} \times \frac{9}{5} + 32 \]In this formula:- Multiply the Celsius temperature by \( \frac{9}{5} \).- Add 32 to this value to adjust for the offset in scales.As an example, let's convert 5726.85 degrees Celsius to Fahrenheit. - First, calculate \( 5726.85 \times \frac{9}{5} \), which equals 10308.33.- Then add 32 to get 10340.33.This tells us that 5726.85 Celsius is equivalent to 10340.33 degrees Fahrenheit. Through this formula, you can easily adapt and use temperatures based on the format that suits your needs.
surface temperature of the Sun
The surface temperature of the Sun is a fascinating topic because it provides insights into stellar physics and the processes that power our closest star. The Sun's surface temperature is approximately 6000 Kelvin, a measure that reflects the intense energy produced by nuclear fusion reactions in its core. This high temperature of 6000 Kelvin equates to 5726.85 degrees Celsius and 10340.33 degrees Fahrenheit, making the Sun an extraordinary heat source in our solar system. Understanding the Sun's temperature is crucial not only for astrophysicists but also for understanding its influence on the solar system, including Earth. The vast energy emitted by the Sun affects planetary climates, drives weather systems, and supports life on Earth through photosynthesis. Studying the Sun's temperature also helps scientists make comparisons with other stars, understanding their evolutionary stages, and gaining insights into the lifecycle of stellar bodies. By grasping the concept of solar temperatures, one can better appreciate the dynamic and powerful nature of the star that sustains life on our planet.

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Most popular questions from this chapter

The Solar Constant The surface of the Sun has a temperature of \(5500^{\circ} \mathrm{C}\). (a) Treating the Sun as a perfect blackbody, with an emissivity of \(1.0,\) find the power that it radiates into space. The radius of the Sun is \(7.0 \times 10^{8} \mathrm{m},\) and the temperature of space can be taken to be \(3.0 \mathrm{K}\). (b) The solar constant is the number of watts of sunlight power falling on a square meter of the Earth's upper atmosphere. Use your result from part (a) to calculate the solar constant, given that the distance from the Sun to the Earth is \(1.5 \times 10^{11} \mathrm{m}\).

An 97.6-g lead ball is dropped from rest from a height of \(4.57 \mathrm{m} .\) The collision between the ball and the ground is totally inelastic. Assuming all the ball's kinetic energy goes into heating the ball, find its change in temperature.

Longest Suspension Bridge The world's longest suspension bridge is the Akashi Kaikyo Bridge in Japan. The bridge is \(3910 \mathrm{m}\) long and is constructed of steel. How much longer is the bridge on a warm summer day \(\left(30.0^{\circ} \mathrm{C}\right)\) than on a cold winter day \(\left(-5.00^{\circ} \mathrm{C}\right) ?\)

Predict/Explain A brass plate has a circular hole whose diameter is slightly smaller than the diameter of an aluminum ball. If the ball and the plate are always kept at the same temperature, (a) should the temperature of the system be increased or decreased in order for the ball to fit through the hole? (b) Choose the best explanation from among the following: I. The aluminum ball changes its diameter more with temperature than the brass plate, and therefore the temperature should be decreased. II. Changing the temperature won't change the fact that the ball is larger than the hole. III. Heating the brass plate makes its hole larger, and that will allow the ball to pass through.

Two objects are made of the same material but have different temperatures. Object 1 has a mass \(m\) and object 2 has a mass \(2 m\). If the objects are brought into thermal contact, (a) is the temperature change of object 1 greater than, less than, or equal to the temperature change of object \(2 ?\) (b) Choose the best explanation from among the following: I. The larger object gives up more heat, and therefore its temperature change is greatest. II. The heat given up by one object is taken up by the other object. since the objects have the same heat capacity, the temperature changes are the same. III. One object loses heat of magnitude \(Q\), the other gains heat of magnitude Q. With the same magnitude of heat involved, the smaller object has the greater temperature change.

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