Question

The temperature of outer space is about 3 K. What is this temperature on the Celsius scale? On the Fahrenheit scale? (Assume temperatures to be exact numbers.)(a) the Celsius scale °C(b) the Fahrenheit scale °F

Answer 1

Given the temperature:

3 K

Let's convert the temperature from Kelvin to degrees Celsius and Fahrenheit.

• (a). The Celsius scale:

To convert to celsius, we have:

`\mathring{}C=K-273.15`

Where K = 3, we have:

`\mathring{}C=3-273.15=-270.15^oC`

Therefore, the temperature on the Celsius scale is -270.15 °C.

• (b). , The Fahrenheit scale:

To convert from Kelvin to Fahrenheit, apply the formula:

`^oF=1.8*(K-273.15)+32`

Substitute 3 for K and solve:

`\begin{gathered} ^oF=1.8*(3-273.15)+32 \\ \\ ^oF=1.8*(-270.15)+32 \\ \\ ^oF=−486.27+32 \\ \\ ^oF=−454.27 \end{gathered}`

Therefore, the temperature in Fahrenheit is -454.27 °F.

ANSWER:

• (a). , -270.15 °C.

• (,b). , -454.27 °F.