College

(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]

iii. [tex]\( 150 \, K \)[/tex] to [tex]^{\circ} C[/tex]

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!

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