The temperature on the surface of the Sun is 5778 K. What is the temperature in degrees Fahrenheit? (LO 1.6) (a) 3344 °F

Video transcript

All right. Hi, everyone. So this question says that the temperature on the surface of a star is 5480. Kelvin. What is the temperature in degrees Fahrenheit? Option A says 9383. Option B says 9907. Option C says 1.040 multiplied by 10 to the fourth power and option D says 9404. So for this question, right, recall that there is no direct conversion from Kelvin two °F. However, there is a conversion from Kelvin two °C which we can then convert into degrees Fahrenheit. So this is going to be our plant. So first recall that a temperature in Kelvin can be obtained by taking the temperature in degrees Celsius and adding 273.15 to that value. So by rearranging this equation, we can see that the temperature in degrees Celsius is equal to the temperature in Kelvin subtracted by 273.15. So plugging in our temperature degrees Celsius is equal to 5480. Kelvin subtracted by 273.15. And so this equals 5206 0.85 °C. There we go. So now we can take our temperature in degrees Celsius and convert this to degrees Fahrenheit. Because our second equation here for degrees Fahrenheit is that degrees Fahrenheit is equal to 1.8 multiplied by the temperature in degrees Celsius and then added to 32. So, plugging in our previous temperature in degrees Celsius degrees Fahrenheit is equal to 1.8 multiplied by 5000 206.85 and then added to 32. And so this equals 9372.33 add it to 32 which equals our final temperature of 9404.33 °F. And after rounding two, four significant figures, our final answer is approximately equal to 9404 degrees Fahrenheit. And this corresponds to option D in the multiple choice. So there you have it. And with that being said, thank you so very much for watching and I hope you found this helpful.