Make the following conversions: d. 315 K to °F

Verified step by step guidance

Start by converting the temperature from Kelvin to Celsius using the formula: \( T_{\text{C}} = T_{\text{K}} - 273.15 \).

Substitute the given temperature in Kelvin (315 K) into the formula to find the temperature in Celsius.

Next, convert the temperature from Celsius to Fahrenheit using the formula: \( T_{\text{F}} = \frac{9}{5}T_{\text{C}} + 32 \).

Substitute the calculated Celsius temperature into the Fahrenheit conversion formula.

Simplify the expression to find the temperature in Fahrenheit.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Temperature Scales

Temperature can be measured in different scales, primarily Celsius (°C), Fahrenheit (°F), and Kelvin (K). Each scale has its own zero point and increments. Understanding the relationship between these scales is crucial for converting temperatures accurately.

Kelvin to Fahrenheit Conversion

To convert from Kelvin to Fahrenheit, you first convert Kelvin to Celsius by subtracting 273.15, and then convert Celsius to Fahrenheit using the formula °F = (°C × 9/5) + 32. This two-step process is essential for accurate temperature conversion.

Mathematical Operations in Conversions

Conversions between temperature scales involve basic mathematical operations such as addition, subtraction, multiplication, and division. Being comfortable with these operations is necessary to perform the conversions correctly and efficiently.

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