Question

20°f = ______ °c
note: re-read the instructions if you fail to remember what is meant by: \show all work for credit!\

210°c = ______ °f

180°c = ______ k

77k = ______ °c (boiling temperature of liquid nitrogen, the most abundant gas 78% in the air we breath)

Explanation:

First Question: \(20^\circ\text{F} = \_\_\_\_\_^\circ\text{C}\)

Step1: Recall the formula for converting Fahrenheit to Celsius

The formula to convert Fahrenheit (\(F\)) to Celsius (\(C\)) is \(C=\frac{5}{9}(F - 32)\).

Step2: Substitute \(F = 20\) into the formula

Substitute \(F = 20\) into \(C=\frac{5}{9}(F - 32)\):
\(C=\frac{5}{9}(20 - 32)=\frac{5}{9}(- 12)=-\frac{60}{9}\approx - 6.67\)

Second Question: \(210^\circ\text{C}=\_\_\_\_\_^\circ\text{F}\)

Step1: Recall the formula for converting Celsius to Fahrenheit

The formula to convert Celsius (\(C\)) to Fahrenheit (\(F\)) is \(F=\frac{9}{5}C + 32\).

Step2: Substitute \(C = 210\) into the formula

Substitute \(C = 210\) into \(F=\frac{9}{5}C+32\):
\(F=\frac{9}{5}\times210 + 32=9\times42+32 = 378+32=410\)

Third Question: \(180^\circ\text{C}=\_\_\_\_\_\text{K}\)

Step1: Recall the formula for converting Celsius to Kelvin

The formula to convert Celsius (\(C\)) to Kelvin (\(K\)) is \(K = C+273.15\).

Step2: Substitute \(C = 180\) into the formula

Substitute \(C = 180\) into \(K = C + 273.15\):
\(K=180 + 273.15=453.15\)

Fourth Question: \(77\text{K}=\_\_\_\_\_^\circ\text{C}\)

Answer:

s:

• \(20^\circ\text{F}\approx\boldsymbol{-6.67^\circ\text{C}}\)
• \(210^\circ\text{C}=\boldsymbol{410^\circ\text{F}}\)
• \(180^\circ\text{C}=\boldsymbol{453.15\text{K}}\)
• \(77\text{K}=\boldsymbol{-196.15^\circ\text{C}}\)