Rank the size of a change in temperature of one degree Fahrenheit, one degree Celsius, and one kelvin. In other words, if a thermometer were to show that the temperature outside increased by these amounts, which change would feel the largest? If any of the options are the same magnitude, stack them above one another.
Rank the sizes of one degree in each scale from largest to smallest. To rank items as equivalent, overlap them.
vcb
To rank the sizes of a change in temperature of one degree Fahrenheit, one degree Celsius, and one kelvin, from largest to smallest, we can compare the conversion formulas between the scales.
1. One degree Kelvin (K)
2. One degree Celsius (°C)
3. One degree Fahrenheit (°F)
The reason for this ranking is as follows:
1. One degree Kelvin (K): A change of one kelvin is equal to a change of one degree Celsius. The Kelvin scale is based on the same magnitude as the Celsius scale, but it starts at absolute zero (-273.15°C or -459.67°F). Therefore, a change of one kelvin is larger than a change of one degree Fahrenheit.
2. One degree Celsius (°C): A change of one degree Celsius is equal to a change of one kelvin. The Celsius scale is a common temperature scale and is based on the freezing and boiling points of water (0°C and 100°C at standard atmospheric pressure). A change of one degree Celsius is equivalent to a change of one kelvin.
3. One degree Fahrenheit (°F): The Fahrenheit scale is commonly used in the United States. However, it is based on different reference points than the Celsius scale. The freezing point of water is 32°F, and the boiling point is 212°F at standard atmospheric pressure. Therefore, a change of one degree Fahrenheit is smaller than a change of one degree Celsius or one kelvin.
So, the ranking from largest to smallest is:
1. One degree Kelvin (K)
2. One degree Celsius (°C)
3. One degree Fahrenheit (°F)
To rank the sizes of a one-degree change in temperature in Fahrenheit, Celsius, and Kelvin, we need to understand the conversion formulas between these scales:
1. Fahrenheit (°F): The Fahrenheit scale is based on 180 equal divisions between the freezing and boiling points of water. To convert Fahrenheit to Celsius, use the formula: °C = (°F - 32) × 5/9. To convert Fahrenheit to Kelvin, use the formula: K = (°F + 459.67) × 5/9.
2. Celsius (°C): The Celsius scale is based on 100 equal divisions between the freezing and boiling points of water. To convert Celsius to Fahrenheit, use the formula: °F = (°C × 9/5) + 32. To convert Celsius to Kelvin, use the formula: K = °C + 273.15.
3. Kelvin (K): The Kelvin scale is an absolute scale where 0K represents absolute zero (the absence of energy). To convert Kelvin to Fahrenheit, use the formula: °F = (K × 9/5) - 459.67. To convert Kelvin to Celsius, use the formula: °C = K - 273.15.
Now, let's analyze the sizes of a one-degree change in each scale:
1. One degree Fahrenheit (1°F) is equivalent to 5/9 of a degree Celsius. Since 1°C is a larger unit than 5/9 of a degree Celsius, this means that 1°F is smaller than 1°C. Additionally, since 1°F is equivalent to 5/9 of a degree Celsius, both changes are of the same magnitude. Therefore, we can stack them above one another.
2. One degree Celsius (1°C) is equivalent to 1 Kelvin. Since 1K is of the same magnitude as 1°C, we can stack them above one another.
To summarize, the ranking of the sizes of a one-degree change in temperature from largest to smallest is:
1. One degree Celsius (1°C) / One Kelvin (1K)
2. One degree Fahrenheit (1°F)