Question

The formula K=59(F−32)+273.15 converts temperatures from Fahrenheit F to Kelvin K.

a. Solve the formula for F.
F= ​ ________
b. The freezing point of water is 273.15 Kelvin. What is this temperature in Fahrenheit?
273.15 K = _____∘F
c. The temperature of dry ice is −78.5∘C. Which is colder, dry ice or liquid nitrogen?

Answer 1

To solve for F in the equation K=59(F−32)+273.15, subtract 273.15 from K, divide by 59, and add 32. The freezing point of water in Fahrenheit is 32°F. Liquid nitrogen is colder than dry ice.

Step-by-step explanation:

To solve the formula K=59(F−32)+273.15 for F, we first isolate F on one side of the equation:

• Subtract 273.15 from both sides: K − 273.15 = 59(F − 32)
• Divide both sides by 59: (K − 273.15) / 59 = F − 32
• Add 32 to both sides to get F: F = [(K − 273.15) / 59] + 32

Using this equation, we can find the freezing point of water in Fahrenheit:

• Plugging 273.15 K into the equation, we get F = [(273.15 − 273.15) / 59] + 32 = 32°F.

To compare the temperatures of dry ice and liquid nitrogen, note that:

• Dry ice is at −78.5°C which converts to 194.65 K (adding 273.15).
• Liquid nitrogen boils at 77°K, which is colder than the temperature of dry ice.