The temperature on the surface of the Sun is 5778 K. What is the temperature in degrees Fahrenheit? (LO 1.6) (a) 3344 °F

Verified step by step guidance

1. Start by converting the temperature from Kelvin to Celsius using the formula: \( T_{\text{C}} = T_{\text{K}} - 273.15 \).
2. Substitute the given temperature in Kelvin (5778 K) into the formula to find the temperature in Celsius.
3. Next, convert the temperature from Celsius to Fahrenheit using the formula: \( T_{\text{F}} = \frac{9}{5}T_{\text{C}} + 32 \).
4. Substitute the calculated Celsius temperature into the formula to find the temperature in Fahrenheit.
5. Compare the calculated Fahrenheit temperature with the given option (3344 °F) to verify if it matches.

Key Concepts

Temperature Scales

Temperature can be measured in different scales, primarily Celsius, Kelvin, and Fahrenheit. Each scale has its own zero point and increments. Understanding how these scales relate to one another is crucial for converting temperatures accurately.

Kelvin to Fahrenheit Conversion

To convert a temperature from Kelvin to Fahrenheit, the formula used is: °F = (K - 273.15) × 9/5 + 32. This formula accounts for the differences in the zero points and scaling between the Kelvin and Fahrenheit systems, allowing for accurate temperature conversion.

Scientific Notation and Precision

In scientific contexts, precision in measurements is important. The temperature of the Sun is given as 5778 K, which reflects a high degree of accuracy. When converting this temperature, maintaining precision in the calculations ensures that the final result is reliable and meaningful.