College

Convert the following temperatures from Kelvin to Celsius or vice versa.

[tex] C = K - 273.15 [/tex]
[tex] K = C + 273.15 [/tex]

a. 40 K

b. 210 K

c. [tex] 30^{\circ} \text{C} [/tex]

a. [tex] 40 \text{K} = \square \, { }^{\circ} \text{C} [/tex]
(Type an integer or a decimal.)

b. [tex] 210 \text{K} = \square \, { }^{\circ} \text{C} [/tex]
(Type an integer or a decimal.)

c. [tex] 30^{\circ} \text{C} = \square \text{K} [/tex]
(Type an integer or a decimal.)

Answer :

Sure, let's go through the conversion of temperatures step-by-step.

1. Convert 40 K to Celsius:
- The formula to convert Kelvin (K) to Celsius (°C) is:
[tex]\[
C = K - 273.15
\][/tex]
- Plugging the value in, we get:
[tex]\[
C = 40 - 273.15 = -233.15
\][/tex]
Therefore, [tex]\( 40 \ K = -233.15 \ ^{\circ}C \)[/tex].

2. Convert 210 K to Celsius:
- Using the same formula:
[tex]\[
C = K - 273.15
\][/tex]
- Plugging the value in, we get:
[tex]\[
C = 210 - 273.15 = -63.15
\][/tex]
Therefore, [tex]\( 210 \ K = -63.15 \ ^{\circ}C \)[/tex].

3. Convert 30°C to Kelvin:
- The formula to convert Celsius (°C) to Kelvin (K) is:
[tex]\[
K = C + 273.15
\][/tex]
- Plugging the value in, we get:
[tex]\[
K = 30 + 273.15 = 303.15
\][/tex]
Therefore, [tex]\( 30 \ ^{\circ}C = 303.15 \ K \)[/tex].

So, summarizing the answers:

a. [tex]\(40 \ K = -233.15 \ ^{\circ}C\)[/tex]

b. [tex]\(210 \ K = -63.15 \ ^{\circ}C\)[/tex]

c. [tex]\(30 \ ^{\circ}C = 303.15 \ K\)[/tex]

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