Thank you for visiting Water freezes at 0 Celsius or 32 Fahrenheit Water boils at 100 Celsius or 212 Fahrenheit Find the average rate of change in degrees Celsius. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The average rate of change of temperature from Celsius to Fahrenheit is found by taking the range of temperature in Celsius (100°C) and dividing it by the range in Fahrenheit (180°F), yielding an average rate of change of â…•C/°F or 1.8 degrees Celsius per degree Fahrenheit.
Explanation:
The question asks for the average rate of change in degrees Celsius per degrees Fahrenheit. To find this, we consider the difference in temperatures on both scales for the freezing and boiling points of water. On the Celsius scale, water freezes at 0°C and boils at 100°C, thus across a 100°C range. On the Fahrenheit scale, the freezing point is 32°F and boiling is 212°F, a range of 180°F.
The average rate of change can be calculated by dividing the difference in Celsius by the difference in Fahrenheit. The difference in Celsius is 100°C (100°C - 0°C), and the difference in Fahrenheit is 180°F (212°F - 32°F). Therefore, the average rate of change is 100°C / 180°F, which reduces to â…•C/°F or 9/5 or 1.8 degrees Celsius per degree Fahrenheit.
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