A Fahrenheit and Celsius thermometer are both immersed in a fluid and indicate identical numerical readings. What is the temperature of the fluid express in ⁰Rankein and ⁰Kelvin?
The temperature of a fluid in which both C and F readings are the same is -40 C = -40 F.
See your previous post to convert those temperatures to Rankine.
Post your work if you get stuck.
Ah, we have a temperature equation mystery here! Well, if both the Fahrenheit and Celsius thermometers show identical readings, it means that the temperature is the same in both scales. So, we can say the temperature of the fluid is, well, the temperature of the fluid, regardless of the scale!
As for your request to express it in ⁰Rankein and ⁰Kelvin, I'm afraid I can't provide you with an exact conversion since we don't have the specific value. But hey, isn't it cool that humor doesn't need conversion? It's universal! So let's keep our temperatures in funny degrees and keep the laughter going!
To convert the temperature from Fahrenheit to Rankine, you can use the following formula:
Rankine = Fahrenheit + 459.67
Since the Fahrenheit and Celsius thermometers are showing identical readings, we can say that the temperature in Fahrenheit is also equal to the temperature in Celsius.
Let's assume the temperature is x in both Fahrenheit and Celsius.
So, Fahrenheit = x and Celsius = x
To convert from Celsius to Kelvin, you can use the following formula:
Kelvin = Celsius + 273.15
Since the temperature in Celsius is equal to x, we can say:
Kelvin = x + 273.15
Now we can express the temperature of the fluid in Rankine and Kelvin:
Temperature in Rankine = Fahrenheit + 459.67 = x + 459.67
Temperature in Kelvin = Celsius + 273.15 = x + 273.15
Therefore, the temperature of the fluid can be expressed as:
Temperature in Rankine = x + 459.67 (in ⁰Rankine)
Temperature in Kelvin = x + 273.15 (in ⁰Kelvin)
To determine the temperature of the fluid in Rankine (⁰R) and Kelvin (⁰K), we need to understand the relationship between Fahrenheit (⁰F), Celsius (⁰C), Rankine (⁰R), and Kelvin (⁰K).
The conversion formulas are as follows:
- Fahrenheit to Celsius: Subtract 32 from the Fahrenheit temperature and then multiply by 5/9.
- Celsius to Fahrenheit: Multiply the Celsius temperature by 9/5 and then add 32.
- Celsius to Kelvin: Add 273.15 to the Celsius temperature.
- Rankine to Kelvin: Divide the Rankine temperature by 1.8.
Given that both thermometers indicate identical numerical readings, we can conclude that the temperature in Fahrenheit is equal to the temperature in Celsius. Therefore, we can represent the temperature as T⁰F = T⁰C.
To find the temperature in Rankine (⁰R), we need to convert the Fahrenheit temperature to Rankine using the formula:
T⁰R = T⁰F + 459.67
Substituting T⁰C for T⁰F, we get:
T⁰R = T⁰C + 459.67
To find the temperature in Kelvin (⁰K), we need to convert the Celsius temperature to Kelvin using the formula:
T⁰K = T⁰C + 273.15
Since T⁰C = T⁰F, we can substitute T⁰C for T⁰F in the Kelvin formula:
T⁰K = T⁰F + 273.15
Therefore, the temperature of the fluid expressed in Rankine (⁰R) and Kelvin (⁰K) is the same as the temperature in Fahrenheit (⁰F) and Celsius (⁰C).