Answered

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What is the temperature, in degrees Celsius, of a substance with a temperature of [tex][tex]$49 K$[/tex][/tex]?

A. [tex]-322^{\circ} C[/tex]
B. [tex]-224^{\circ} C[/tex]
C. [tex]224^{\circ} C[/tex]
D. [tex]322^{\circ} C[/tex]


Sagot :

To convert a temperature from Kelvin to Celsius, we use the formula:

[tex]\[ T(°C) = T(K) - 273.15 \][/tex]

Given:
[tex]\[ T(K) = 49 \][/tex]

We substitute the given Kelvin temperature into the conversion formula:

[tex]\[ T(°C) = 49 - 273.15 \][/tex]

Subtracting these values will give us the temperature in degrees Celsius:

[tex]\[ T(°C) = -224.15 \][/tex]

The closest match to this value from the given options is:

[tex]\[ -224^{\circ} C \][/tex]

So, the temperature of the substance in degrees Celsius is:
[tex]\[ -224^{\circ} C \][/tex]