
The body temperature of a patient is . Calculate his body temperature in Celsius scale
Answer
151.5k+ views
Hint:In this question, the concept of the unit conversion factor is used. First, we consider the expression for the body temperature to convert Fahrenheit into degree then substitute the value of Fahrenheit to calculate the value of temperature in degree Celsius.
Complete step by step solution:
In this question, the body temperature of a patient is . We need to calculate the body temperature in Celsius scale.
As we know normally available thermometers in the market are calibrated in either Fahrenheit or degree Celsius depending on the country, where it is being sold. The United States follows Fahrenheit measurement whereas most other countries follow degree Celsius.
We now know that an increase in temperature corresponds to an increase in the average kinetic energy of atoms and molecules. A result of that increased motion is that the average distance between atoms and molecules increases as the temperature increases. This phenomenon, known as thermal expansion, is the basis for temperature measurement by a liquid thermometer.
Let us assume, the temperature of the scale Fahrenheit or degree Celsius .
We know that
Where, is temperature in Celsius and is in Fahrenheit.
As we know that the temperature that temperature is Fahrenheit is
We are putting the value of Fahrenheit that is in equation (1).
Now we subtract the value of Fahrenheit from then multiply it by and simplify it by dividing it by .
Therefore, the body temperature on the Celsius scale is .
Note: As we know that the boiling point temperature of the water in Fahrenheit scale is and in the Celsius scale it is while the freezing point temperature of the water in Fahrenheit scale is and in the Celsius scale it is .
Complete step by step solution:
In this question, the body temperature of a patient is
As we know normally available thermometers in the market are calibrated in either Fahrenheit
We now know that an increase in temperature corresponds to an increase in the average kinetic energy of atoms and molecules. A result of that increased motion is that the average distance between atoms and molecules increases as the temperature increases. This phenomenon, known as thermal expansion, is the basis for temperature measurement by a liquid thermometer.
Let us assume, the temperature of the scale Fahrenheit
We know that
Where,
As we know that the temperature that temperature is Fahrenheit is
We are putting the value of Fahrenheit that is
Now we subtract the value of Fahrenheit
Therefore, the body temperature on the Celsius scale is
Note: As we know that the boiling point temperature of the water in Fahrenheit scale is
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