Question

complete the following conversions. be sure to show your work. (you will not get credit for the answer if you do not show your work.)
-50 °f to:
1.______°c
2.______k
373.15 k
3.______°c
4.______°f
5 °c to:
5.______°f
6.______k
95 °f to:
7.______°c
8.______k
253.15 k to:
9.______°c
10.______°f
20 °c to:
11.______°f
12.______k

Explanation:

Step1: Use the formula for converting Fahrenheit to Celsius

The formula is \(C=\frac{5}{9}(F - 32)\). For \(F=- 50\), we have \(C=\frac{5}{9}(-50 - 32)=\frac{5}{9}\times(-82)\approx - 45.6\)

Step2: Convert Celsius to Kelvin

The formula is \(K = C+273.15\). Using \(C=-45.6\), we get \(K=-45.6 + 273.15=227.55\)

Step3: Convert Kelvin to Celsius

The formula is \(C=K - 273.15\). For \(K = 373.15\), \(C=373.15-273.15 = 100\)

Step4: Convert Celsius to Fahrenheit

The formula is \(F=\frac{9}{5}C+32\). Using \(C = 100\), \(F=\frac{9}{5}\times100+32=180 + 32=212\)

Step5: Convert Celsius to Fahrenheit

Using \(C = 5\) in \(F=\frac{9}{5}C+32\), \(F=\frac{9}{5}\times5+32=9 + 32=41\)

Step6: Convert Celsius to Kelvin

Using \(C = 5\) in \(K = C+273.15\), \(K=5+273.15=278.15\)

Step7: Convert Fahrenheit to Celsius

Using \(F = 95\) in \(C=\frac{5}{9}(F - 32)\), \(C=\frac{5}{9}(95 - 32)=\frac{5}{9}\times63 = 35\)

Step8: Convert Celsius to Kelvin

Using \(C = 35\) in \(K = C+273.15\), \(K=35+273.15=308.15\)

Step9: Convert Kelvin to Celsius

Using \(K = 253.15\) in \(C=K - 273.15\), \(C=253.15-273.15=-20\)

Step10: Convert Celsius to Fahrenheit

Using \(C=-20\) in \(F=\frac{9}{5}C+32\), \(F=\frac{9}{5}\times(-20)+32=-36 + 32=-4\)

Step11: Convert Celsius to Fahrenheit

Using \(C = 20\) in \(F=\frac{9}{5}C+32\), \(F=\frac{9}{5}\times20+32=36+32 = 68\)

Step12: Convert Celsius to Kelvin

Using \(C = 20\) in \(K = C+273.15\), \(K=20+273.15=293.15\)

Answer:

1. \(-45.6\)
2. \(227.55\)
3. \(100\)
4. \(212\)
5. \(41\)
6. \(278.15\)
7. \(35\)
8. \(308.15\)
9. \(-20\)
10. \(-4\)
11. \(68\)
12. \(293.15\)