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Another temperature scale frequently used in science is the Kelvin scale. In this scale, zero is the lowest possible temperature of anything in the universe, and it is -273.15 degrees in the Celsius scale. Each 1 K is the same as [tex]1^{\circ} C[/tex], so 10 K is the same as [tex]-263.15^{\circ} C[/tex].

a) Water boils at [tex]100^{\circ} C[/tex]. What is the temperature in K?
[tex]100^{\circ} C + 273.15 = 373.15 \, K[/tex]

b) Ammonia boils at [tex]-35.5^{\circ} C[/tex]. What is the boiling point of ammonia in K?
[tex]-35.5^{\circ} C + 273.15 = 237.65 \, K[/tex]


Sagot :

Let's solve the problem step-by-step:

### Part (a): Converting the boiling point of water to Kelvin

Water's boiling point is given as [tex]\(100^{\circ}\)[/tex] Celsius. To convert this temperature to Kelvin, we use the relationship between the Celsius and Kelvin scales:
[tex]\[ K = {}^\circ C + 273.15 \][/tex]

So, the boiling point of water in Kelvin is:
[tex]\[ K = 100 + 273.15 = 373.15 \, \text{K} \][/tex]

Thus, the boiling point of water is [tex]\(373.15 \, \text{K}\)[/tex].

### Part (b): Converting the boiling point of ammonia to Kelvin

Ammonia's boiling point is given as [tex]\(-35.5^{\circ}\)[/tex] Celsius. Again, using the conversion formula:
[tex]\[ K = {}^\circ C + 273.15 \][/tex]

We substitute [tex]\(-35.5\)[/tex]:
[tex]\[ K = -35.5 + 273.15 = 237.65 \, \text{K} \][/tex]

Thus, the boiling point of ammonia is approximately [tex]\(237.65 \, \text{K}\)[/tex].

So, the final answers are:
- The boiling point of water in Kelvin is [tex]\(373.15 \, \text{K}\)[/tex].
- The boiling point of ammonia in Kelvin is [tex]\(237.65 \, \text{K}\)[/tex].