Questions: Converting between Fahrenheit and Kelvin Temperature Scales Complete the table. Rowkelvin FahrenheitCelsius ------------------------------- 1 0.0 K -273.0°C 2 82.8°F 3 8.7°C Complete the first row. Express your answer in degrees Fahrenheit to four significant figures. Row 1: °F

Converting between Fahrenheit and Kelvin Temperature Scales Complete the table. Rowkelvin FahrenheitCelsius ------------------------------- 1 0.0 K -273.0°C 2 82.8°F 3 8.7°C Complete the first row. Express your answer in degrees Fahrenheit to four significant figures. Row 1: °F
Transcript text: Converting between Fahrenheit and Kelvin Temperature Scales Complete the table. \begin{tabular}{|l|l|l|l|} \hline \multicolumn{3}{|c|}{ Rowkelvin } & FahrenheitCelsius \\ \hline 1 & 0.0 K & & $-273.0^{\circ} \mathrm{C}$ \\ \hline 2 & & $82.8^{\circ} \mathrm{F}$ & \\ \hline 3 & & & $8.7^{\circ} \mathrm{C}$ \\ \hline \end{tabular} Complete the first.row. Express your answer in degrees Fahrenheit to four significant figures. Row 1: $\square$ ${ }^{\circ} \mathrm{F}$
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Solution

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Solution Steps

Step 1: Understand the Conversion Formulas

To convert between Kelvin and Celsius, use the formula: \[ K = C + 273.15 \]

To convert between Celsius and Fahrenheit, use the formula: \[ F = \frac{9}{5}C + 32 \]

Step 2: Convert Kelvin to Celsius for Row 1

Given in Row 1: \(0.0 \, \text{K}\)

Using the Kelvin to Celsius conversion: \[ C = K - 273.15 = 0.0 - 273.15 = -273.15 \, ^{\circ}\text{C} \]

Step 3: Convert Celsius to Fahrenheit for Row 1

Now, convert \(-273.15 \, ^{\circ}\text{C}\) to Fahrenheit using the formula: \[ F = \frac{9}{5}(-273.15) + 32 \]

Calculate: \[ F = -491.67 + 32 = -459.67 \, ^{\circ}\text{F} \]

Final Answer

The temperature in Fahrenheit for Row 1 is: \[ \boxed{-459.7 \, ^{\circ}\text{F}} \]

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