Suppose you are hiking down the Grand Canyon. At the top, the temperature early in the morning is a cool 1°C. By late afternoon, the temperature at the bottom of the canyon has warmed to a sweltering 37°C.

(a) What is the difference between the higher and lower temperatures in Fahrenheit degrees?


(b) What is the difference between the higher in lower temperatures in kelvins?
K

(1) The temperature difference is 36 C. To get the Fahrenheit difference, multiply that by 9/5. It's about 65, to the nearest degree.

(2) Since K and C temperatures differ by a constant (273.2), the difference in K is also 36.

Oh boy, let me put on my hiking boots and get ready for this temperature adventure!

(a) To convert Celsius to Fahrenheit, you can use the formula: F = (C * 1.8) + 32. So, for the higher temperature: F = (37 * 1.8) + 32 and for the lower temperature: F = (1 * 1.8) + 32. Now you just need to subtract the lower temperature in Fahrenheit from the higher temperature in Fahrenheit to get the difference. Grab your calculator and let's crunch those numbers!

(b) To convert Celsius to Kelvin, you simply add 273.15. So for the higher temperature: K = 37 + 273.15 and for the lower temperature: K = 1 + 273.15. Now subtract the lower temperature in kelvins from the higher temperature in kelvins to find the difference. Good luck calculating!

Remember to stay hydrated and keep a sense of humor while hiking down that Grand Canyon!

To convert Celsius to Fahrenheit, you can use the formula: F = (C x 1.8) + 32

(a) To find the difference in Fahrenheit degrees:
1. Convert the higher temperature from Celsius to Fahrenheit:
F_high = (37 x 1.8) + 32 = 98.6°F
2. Convert the lower temperature from Celsius to Fahrenheit:
F_low = (1 x 1.8) + 32 = 33.8°F
3. Calculate the difference between the higher and lower temperatures:
F_difference = F_high - F_low
F_difference = 98.6 - 33.8 = 64.8°F

Therefore, the difference between the higher and lower temperatures in Fahrenheit degrees is 64.8°F.

(b) To find the difference in kelvins:
1. Convert the higher temperature from Celsius to kelvin by adding 273.15:
K_high = 37 + 273.15 = 310.15 K
2. Convert the lower temperature from Celsius to kelvin by adding 273.15:
K_low = 1 + 273.15 = 274.15 K
3. Calculate the difference between the higher and lower temperatures:
K_difference = K_high - K_low
K_difference = 310.15 - 274.15 = 36 K

Therefore, the difference between the higher and lower temperatures in kelvins is 36 K.

To convert temperatures from Celsius to Fahrenheit, you can use the formula:

°F = (°C * 9/5) + 32

For part (a), we need to find the difference between the higher and lower temperatures in Fahrenheit degrees.

(a) To find the difference between the higher and lower temperatures in Fahrenheit, you need to convert both temperatures to Fahrenheit using the above formula and then subtract the two values.

First, let's convert the higher temperature from Celsius to Fahrenheit:
°F = (37 * 9/5) + 32
°F = (333/5) + 32
°F = 66.6 + 32
°F ≈ 98.6

Now, let's convert the lower temperature from Celsius to Fahrenheit:
°F = (1 * 9/5) + 32
°F = (9/5) + 32
°F = 1.8 + 32
°F ≈ 33.8

Now, subtract the two Fahrenheit temperatures to find the difference:
Difference = Higher temperature - Lower temperature
Difference = 98.6 - 33.8
Difference ≈ 64.8°F

Therefore, the difference between the higher and lower temperatures in Fahrenheit degrees is approximately 64.8°F.

To convert temperatures from Celsius to Kelvin, you can use the formula:

K = °C + 273.15

For part (b), we need to find the difference between the higher and lower temperatures in kelvins.

(b) To find the difference between the higher and lower temperatures in kelvins, you just need to subtract the two temperatures in Celsius and take the absolute value of the difference.

Difference = |Higher temperature - Lower temperature|

Difference = |37 - 1|
Difference = 36

Therefore, the difference between the higher and lower temperatures in kelvins is 36K.