Answer
a) $100^{\circ}C$
b) $-321.07^{\circ}F$
c) $298.15 K$
d) $310.15 K$
Work Step by Step
Using the conversion factors below, we can convert from Celsius to Fahrenheit or vice-versa. To find the Celsius temperature we can convert from Fahrenheit using the following formula $(^{\circ}F-32)\times\frac{5}{9}$ and to convert from Celsius to Fahrenheit, the following formula can be used; $(^{\circ}C\times\frac{9}{5})+32$. Additionally to convert to Kelvin from Celsius, we can do so by simply adding 273.15 and to covert from Kelvin to Celsius, we simply subtract 273.15.
a) $(212^{\circ}F-32)\times\frac{5}{9} = 100^{\circ}C$
b) $77K - 273.15 = -196.15^{\circ}C$
$(-196.15^{\circ}C\times\frac{9}{5})+32 = -321.07^{\circ}F$
c) $25^{\circ}C + 273.15 = 298.15 K$
d) $(98.6^{\circ}F-32)\times\frac{5}{9} = 37^{\circ}C$
$37^{\circ}C + 273.15 = 310.15 K$