What is -15 °F in degrees Celsius and in kelvins? (3.3)

Question

Accepted Answer

Hello. In this problem, we are asked to express the following temperature 2°C and in Kelvin's -87°F. So we have an equation that then relates the temperature in Fahrenheit to that in Celsius, we have the temperature in degree Fahrenheit is equal to 1.8 times the temperature in degrees Celsius plus 32. We can rearrange this to obtain an equation that gives us temperature in degree Celsius given temperature in degree Fahrenheit, we'll begin by subtracting 32 from both sides. It will cancel on the right hand side. So get 1.8 times the temperature in degrees Celsius is equal to the temperature in degrees Fahrenheit minus 32. And then we will divide both sides by 1. and it will cancel on the left hand side. So we end up then with an equation, it tells us that the temperature in degree Celsius is equal to the temperature in degree Fahrenheit -32 divided by 1.8. And we can convert then from Celsius to Kelvin, we take our temperature and degrees Celsius and add 273.15. Beginning with our conversion from Fahrenheit to Celsius, we have a temperature of minus 87 F. And we're gonna subtract 32 and then divide by 1.8. So note that the 32, the 1.8 and the 273. are considered exact. So when I do the subtraction here, then it's based on my measurement of -87°F. So this is then precise to the one's place. So we need to report the result to the one's place. This works out to be negative 119. And we'll divide by 1.8, which is again considered exact. Our temperature in degrees Celsius then works out to negative 66.11 with the ones continuing on degrees Celsius reporting this then to the correct number of significant figures. The negative 119 has three significant figures. The 1.8 is exact. And so we need to have three significant figures in our final answer. So this is negative 66.1 degrees Celsius. And then we'll take our temperature in degrees Celsius and add 273.15. So we have negative 66.11°C plus 273.15. I carry along one additional value beyond what is significant to prevent rounding error. And this works out then to 207 0.0 Kelvin. So my last significant place then when I do the addition is the 10th place. So my final answer should be reported to the 10th place. So temperature of -7°F is equal to then -66.1°C and 207. Kelvin. This then corresponds to answer D thanks for watching. Hope this helped.

What is -15 °F in degrees Celsius and in kelvins? (3.3)

Key Concepts

Temperature Scales

Conversion Formulas

Absolute Zero

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