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------------------------------------------------ The coldest temperature ever recorded on Earth was -128.6°F (recorded at Vostok Station, Antarctica, on July 21, 1983). Express this temperature in degrees Celsius and in kelvins.

A. -89.2°C, -89.2 K
B. -289.1°C, -15.9 K
C. -89.2°C, 183.9 K
D. 173.9°C, 99.3 K
E. -7.0°C, 266.2 K

Answer :

Answer : The correct option is, [tex]-89.2^oF\text{ and }183.9K[/tex]

Explanation :

The conversion used for the temperature from Fahrenheit to degree Celsius is:

[tex]^oC=(^oF-32)\times \frac{5}{9}[/tex]

where,

[tex]^oF[/tex] = temperature in Fahrenheit

[tex]^oC[/tex] = temperature in centigrade

The conversion used for the temperature from degree Celsius to Kelvin is:

[tex]K=273.15+^oC[/tex]

where,

[tex]K[/tex] = temperature in Kelvin

[tex]^oC[/tex] = temperature in centigrade

As we are given the temperature in Fahrenheit is, -10

Now we have to determine the temperature in degree Celsius.

[tex]^oC=(^oF-32)\times \frac{5}{9}[/tex]

[tex]^oC=(-128.6^oF-32)\times \frac{5}{9}[/tex]

[tex]^oC=-89.2[/tex]

Now we have to determine the temperature in Kelvin.

[tex]K=273.15+^oC[/tex]

[tex]K=273.15+(-89.2^oC)[/tex]

[tex]K=183.9[/tex]

Therefore, the temperature in degree Celsius and Kelvin are, [tex]-89.2^oF\text{ and }183.9K[/tex]

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