Temperature worksheet

1. In Celsius: -138.15 °C

1. Convert to Celsius: subtract 273.15 from the kelvin value

   $135\text{\hspace{0.17em}K}-273.15$$=\mathrm{-138.15}\text{\hspace{0.17em}°C}$

2. In Kelvin: 115 K

1. The scales are the same, so the temperature doesn't change

   $115\text{\hspace{0.17em}K}$$=115\text{\hspace{0.17em}K}$

3. In Fahrenheit: 172.4 °F

1. Convert to Fahrenheit: multiply by 9/5, then add 32

   $78\text{\hspace{0.17em}°C}\times \frac{9}{5}+32$$=172.4\text{\hspace{0.17em}°F}$

4. In Rankine: 527.17 °R

1. Rankine uses Fahrenheit-sized degrees counted from absolute zero, so add 459.67

   $67.5\text{\hspace{0.17em}°F}+459.67$$=527.17\text{\hspace{0.17em}°R}$

5. In Rankine: 153 °R

1. Both scales start at absolute zero; a Rankine degree is 5/9 of a kelvin, so multiply by 9/5

   $85\text{\hspace{0.17em}K}\times \frac{9}{5}$$=153\text{\hspace{0.17em}°R}$

6. In Celsius: -206.48 °C

1. Convert to Celsius: multiply by 5/9 to get kelvins, then subtract 273.15

   $120\text{\hspace{0.17em}°R}\times \frac{5}{9}-273.15$$=\mathrm{-206.4833333333}\text{\hspace{0.17em}°C}$

7. In Rankine: 632.07 °R

1. Convert to Rankine: add 273.15 to get kelvins, then multiply by 9/5

   $\left(78\text{\hspace{0.17em}°C}+273.15\right)\times \frac{9}{5}$$=632.07\text{\hspace{0.17em}°R}$

8. In Kelvin: 355.15 K

1. Convert to Kelvin: add 273.15 to the Celsius value

   $82\text{\hspace{0.17em}°C}+273.15$$=355.15\text{\hspace{0.17em}K}$

9. In Rankine: 207 °R

1. Both scales start at absolute zero; a Rankine degree is 5/9 of a kelvin, so multiply by 9/5

   $115\text{\hspace{0.17em}K}\times \frac{9}{5}$$=207\text{\hspace{0.17em}°R}$

10. In Kelvin: 333.15 K

1. Convert to Celsius: subtract 32, then multiply by 5/9

   $\left(140\text{\hspace{0.17em}°F}-32\right)\times \frac{5}{9}$$=60\text{\hspace{0.17em}°C}$

2. Convert to Kelvin: add 273.15 to the Celsius value

   $60\text{\hspace{0.17em}°C}+273.15$$=333.15\text{\hspace{0.17em}K}$