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Answer :
Sure! Let's go through the conversions step-by-step:
### (a) Convert the following:
#### i. 220 K to [tex]\(^{\circ} F\)[/tex]
To convert Kelvin to Fahrenheit, use the formula:
[tex]\[ F = (K - 273.15) \times \frac{9}{5} + 32 \][/tex]
Plugging in 220 K:
[tex]\[ F = (220 - 273.15) \times \frac{9}{5} + 32 \][/tex]
This simplifies to approximately:
[tex]\[ F \approx -63.67^{\circ} F \][/tex]
So, 220 K is approximately [tex]\(-63.67^{\circ} F\)[/tex].
#### ii. [tex]\(-40^{\circ} F\)[/tex] to [tex]\(^{\circ} C\)[/tex]
To convert Fahrenheit to Celsius, use the formula:
[tex]\[ C = (F - 32) \times \frac{5}{9} \][/tex]
Plugging in [tex]\(-40^{\circ} F\)[/tex]:
[tex]\[ C = (-40 - 32) \times \frac{5}{9} \][/tex]
This gives:
[tex]\[ C = -40^{\circ} C \][/tex]
So, [tex]\(-40^{\circ} F\)[/tex] is [tex]\(-40^{\circ} C\)[/tex].
#### iii. 150 K to [tex]\(^{\circ} C\)[/tex]
To convert Kelvin to Celsius, use the formula:
[tex]\[ C = K - 273.15 \][/tex]
Plugging in 150 K:
[tex]\[ C = 150 - 273.15 \][/tex]
This simplifies to approximately:
[tex]\[ C \approx -123.15^{\circ} C \][/tex]
So, 150 K is approximately [tex]\(-123.15^{\circ} C\)[/tex].
These are the temperature conversions for each part of the question!
### (a) Convert the following:
#### i. 220 K to [tex]\(^{\circ} F\)[/tex]
To convert Kelvin to Fahrenheit, use the formula:
[tex]\[ F = (K - 273.15) \times \frac{9}{5} + 32 \][/tex]
Plugging in 220 K:
[tex]\[ F = (220 - 273.15) \times \frac{9}{5} + 32 \][/tex]
This simplifies to approximately:
[tex]\[ F \approx -63.67^{\circ} F \][/tex]
So, 220 K is approximately [tex]\(-63.67^{\circ} F\)[/tex].
#### ii. [tex]\(-40^{\circ} F\)[/tex] to [tex]\(^{\circ} C\)[/tex]
To convert Fahrenheit to Celsius, use the formula:
[tex]\[ C = (F - 32) \times \frac{5}{9} \][/tex]
Plugging in [tex]\(-40^{\circ} F\)[/tex]:
[tex]\[ C = (-40 - 32) \times \frac{5}{9} \][/tex]
This gives:
[tex]\[ C = -40^{\circ} C \][/tex]
So, [tex]\(-40^{\circ} F\)[/tex] is [tex]\(-40^{\circ} C\)[/tex].
#### iii. 150 K to [tex]\(^{\circ} C\)[/tex]
To convert Kelvin to Celsius, use the formula:
[tex]\[ C = K - 273.15 \][/tex]
Plugging in 150 K:
[tex]\[ C = 150 - 273.15 \][/tex]
This simplifies to approximately:
[tex]\[ C \approx -123.15^{\circ} C \][/tex]
So, 150 K is approximately [tex]\(-123.15^{\circ} C\)[/tex].
These are the temperature conversions for each part of the question!
Thank you for reading the article a Convert the following i tex 220 K tex to tex circ F tex ii tex 40 circ F tex to tex circ C tex. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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