a. The temperature on a warm summer day is 87 °F. What is the temperature in °C?
b. Many scientific studies are conducted at 25 °C. What is this temperature in kelvins and in °F?
c. Suppose a recipe calls for an oven temperature of 400 °F. Convert this temperature to degrees Celsius and kelvins.
d. Liquid nitrogen boils at 77 K. Convert this temperature to °F and °C.
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a. To convert from Fahrenheit to Celsius, we use the formula:
Celsius = (Fahrenheit - 32) × 5/9
So, plugging in the given temperature, we have:
Celsius = (87 - 32) × 5/9 = 30.56 °C
b. To convert from Celsius to Kelvin, we add 273.15. To convert from Celsius to Fahrenheit, we use the formula:
Fahrenheit = Celsius × 9/5 + 32
So, for 25 °C:
Kelvin = 25 + 273.15 = 298.15 K
Fahrenheit = 25 × 9/5 + 32 = 77 °F
c. To convert from Fahrenheit to Celsius, we use the formula mentioned before:
Celsius = (Fahrenheit - 32) × 5/9
So, for 400 °F:
Celsius = (400 - 32) × 5/9 = 204.44 °C
To convert from Celsius to Kelvin, we add 273.15:
Kelvin = 204.44 + 273.15 = 477.59 K
d. To convert from Kelvin to Celsius, we subtract 273.15. To convert from Celsius to Fahrenheit, we use the formula mentioned before:
Fahrenheit = Celsius × 9/5 + 32
So, for 77 K:
Celsius = 77 - 273.15 = -196.15 °C
Fahrenheit = -196.15 × 9/5 + 32 = -320.07 °F
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