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A temperature of 100 oF (Fahrenheit scale) is equal to T K (Kelvin scale). The value of T is:
- a)310.9
- b)37.8
- c)100
- d)122.4
Correct answer is option 'A'. Can you explain this answer?
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A temperature of 100 oF (Fahrenheit scale) is equal to T K (Kelvin sc...
To convert a temperature from Fahrenheit (oF) to Kelvin (K), we need to use the following formula:
T(K) = (T(oF) + 459.67) x (5/9)
Given that the temperature is 100 oF, we can substitute the value into the formula:
T(K) = (100 + 459.67) x (5/9)
Simplifying the equation further:
T(K) = (559.67) x (5/9)
T(K) = 310.93
Therefore, the temperature of 100 oF is equal to approximately 310.93 K.
Explanation:
The relationship between the Fahrenheit and Kelvin scales can be derived from the Celsius scale. The Celsius and Kelvin scales have a direct relationship, where the size of one degree Celsius is the same as one Kelvin.
To convert from Fahrenheit to Celsius, we use the formula:
T(oC) = (T(oF) - 32) x (5/9)
Then, to convert from Celsius to Kelvin, we simply add 273.15:
T(K) = T(oC) + 273.15
Now, let's apply these steps to the given temperature of 100 oF:
1. Convert from Fahrenheit to Celsius:
T(oC) = (100 - 32) x (5/9)
T(oC) = 68 x (5/9)
T(oC) = 37.78 oC (rounded to two decimal places)
2. Convert from Celsius to Kelvin:
T(K) = 37.78 + 273.15
T(K) = 310.93 K (rounded to two decimal places)
Therefore, a temperature of 100 oF is equal to approximately 310.93 K.
T(K) = (T(oF) + 459.67) x (5/9)
Given that the temperature is 100 oF, we can substitute the value into the formula:
T(K) = (100 + 459.67) x (5/9)
Simplifying the equation further:
T(K) = (559.67) x (5/9)
T(K) = 310.93
Therefore, the temperature of 100 oF is equal to approximately 310.93 K.
Explanation:
The relationship between the Fahrenheit and Kelvin scales can be derived from the Celsius scale. The Celsius and Kelvin scales have a direct relationship, where the size of one degree Celsius is the same as one Kelvin.
To convert from Fahrenheit to Celsius, we use the formula:
T(oC) = (T(oF) - 32) x (5/9)
Then, to convert from Celsius to Kelvin, we simply add 273.15:
T(K) = T(oC) + 273.15
Now, let's apply these steps to the given temperature of 100 oF:
1. Convert from Fahrenheit to Celsius:
T(oC) = (100 - 32) x (5/9)
T(oC) = 68 x (5/9)
T(oC) = 37.78 oC (rounded to two decimal places)
2. Convert from Celsius to Kelvin:
T(K) = 37.78 + 273.15
T(K) = 310.93 K (rounded to two decimal places)
Therefore, a temperature of 100 oF is equal to approximately 310.93 K.
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A temperature of 100 oF (Fahrenheit scale) is equal to T K (Kelvin scale). The value of T is:a)310.9b)37.8c)100d)122.4Correct answer is option 'A'. Can you explain this answer?
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