Questions: Hypothermia is possible when the air temperature is -42 °C. Part 1 of 2 Convert this temperature to °F. Be sure your answer has the correct number of significant figures. - °F - 1 × 10 Part 2 of 2 Convert this temperature to K. Be sure your answer has the correct number of significant figures. - K - 10

Hypothermia is possible when the air temperature is -42 °C.

Part 1 of 2

Convert this temperature to °F. Be sure your answer has the correct number of significant figures.
- °F
- 1 × 10

Part 2 of 2

Convert this temperature to K. Be sure your answer has the correct number of significant figures.
- K
- 10

Transcript text: Hypothermia is possible when the air temperature is $-42 .{ }^{\circ} \mathrm{C}$. Part 1 of 2 Convert this temperature to ${ }^{\circ} \mathrm{F}$. Be sure your answer has the correct number of significant figures. $\square$ ${ }^{\circ} \mathrm{F}$ $\square$ $1 \times 10$ Part 2 of 2 Convert this temperature to K . Be sure your answer has the correct number of significant figures. $\square$ K $\square$ 10 Undo

Solution

Solution Steps

Step 1: Convert Celsius to Fahrenheit

Use the formula to convert Celsius to Fahrenheit: \[ F = \left(\frac{9}{5} \times C\right) + 32 \]
Substitute $-42$ for $C$: \[ F = \left(\frac{9}{5} \times (-42)\right) + 32 \]
Calculate the multiplication: \[ F = \left(-75.6\right) + 32 \]
Perform the addition: \[ F = -43.6 \]
Round to the correct number of significant figures (2 significant figures): \[ F = -44 \, ^{\circ} \mathrm{F} \]

Step 2: Convert Celsius to Kelvin

Use the formula to convert Celsius to Kelvin: \[ K = C + 273.15 \]
Substitute $-42$ for $C$: \[ K = -42 + 273.15 \]
Perform the addition: \[ K = 231.15 \]
Round to the correct number of significant figures (2 significant figures): \[ K = 231 \, \mathrm{K} \]