Question

1. convert zero kelvin to degrees celsius.

1. convert two-hundred-seventy-three kelvin to degrees fahrenheit.

1. convert one-hundred degrees fahrenheit to kelvin.

1. convert twenty degrees celsius to fahrenheit.

Explanation:

Step1: Use Kelvin to Celsius formula

$T(^\circ\text{C}) = T(\text{K}) - 273.15$

Step2: Substitute 0 K into formula

$T(^\circ\text{C}) = 0 - 273.15 = -273.15$

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Step1: Convert K to Celsius first

$T(^\circ\text{C}) = 273 - 273.15 = -0.15$

Step2: Celsius to Fahrenheit formula

$T(^\circ\text{F}) = T(^\circ\text{C}) \times \frac{9}{5} + 32$

Step3: Substitute Celsius value

$T(^\circ\text{F}) = -0.15 \times \frac{9}{5} + 32 = -0.27 + 32 = 31.73$

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Step1: Convert °F to Celsius first

$T(^\circ\text{C}) = (T(^\circ\text{F}) - 32) \times \frac{5}{9}$

Step2: Substitute 100 °F into formula

$T(^\circ\text{C}) = (100 - 32) \times \frac{5}{9} = 68 \times \frac{5}{9} \approx 37.78$

Step3: Convert Celsius to Kelvin

$T(\text{K}) = 37.78 + 273.15 = 310.93$

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Step1: Use Celsius to Fahrenheit formula

$T(^\circ\text{F}) = T(^\circ\text{C}) \times \frac{9}{5} + 32$

Step2: Substitute 20 °C into formula

$T(^\circ\text{F}) = 20 \times \frac{9}{5} + 32 = 36 + 32 = 68$

Answer:

1. $-273.15^\circ\text{C}$
2. $31.73^\circ\text{F}$
3. $310.93\text{ K}$
4. $68^\circ\text{F}$