Convert \[{{25}^{0}}C\] temperature difference into Fahrenheit scale.
\[\begin{align}
& \text{A) 2}{{\text{5}}^{0}}F \\
& \text{B) 4}{{\text{5}}^{0}}F \\
& \text{C) 5}{{\text{7}}^{0}}F \\
& \text{D) 7}{{\text{7}}^{0}}F \\
\end{align}\]
Answer
626.7k+ views
Hint: We know that the temperature scales are interconvertible. Using appropriate relations, we can solve the given problem. We have to take care that the question is to convert the given value in Celsius scale to a difference in temperature, which is the same as the temperature.
Complete answer:
We know that there are mainly three scales for measuring temperatures. The absolute scale or the Kelvin scale used in scientific experiments, The Celsius scale used in daily life and the Fahrenheit scale used in medical and biological purposes are the three scales which are important to us
We can convert each from one scale to another as they all are interrelated. Let us see the various relations between the three scales.
1)Relation between Celsius scale and Fahrenheit scale: The two scales are related by the formula –
\[F=\dfrac{9}{5}C+32\]
2) Relation between Kelvin scale and Celsius scale: The two scales are related as –
\[C=-273.15+K\]
3) Relation between Fahrenheit scale and Kelvin scale: The two scales are related to each other by the formula –
\[F=\dfrac{9}{5}\times (-273.15+K)+32\]
Where K is the temperature in Kelvin scale,
C is the Celsius scale,
F is in the Fahrenheit scale.
Now, let us convert the given temperature from Celsius to Fahrenheit with the formula as –
\[\begin{align}
& F=\dfrac{9}{5}\times C+32 \\
& \Rightarrow \text{ }F=\dfrac{9}{5}\times 25+32 \\
& \Rightarrow \text{ }F=45+32 \\
& \therefore \text{ }F={{77}^{0}}\text{ F} \\
\end{align}\]
The change in temperature denoted by \[{{25}^{0}}C\] is equal to \[\text{7}{{\text{7}}^{0}}F\]in Fahrenheit scale.
So, the correct answer is “Option D”.
Note:
The Kelvin scale is the standard scale used in temperature measurements. This is because it has the zero reading which is considered the absolute zero temperature or the minimum attainable temperature by any material in the universe.
Complete answer:
We know that there are mainly three scales for measuring temperatures. The absolute scale or the Kelvin scale used in scientific experiments, The Celsius scale used in daily life and the Fahrenheit scale used in medical and biological purposes are the three scales which are important to us
We can convert each from one scale to another as they all are interrelated. Let us see the various relations between the three scales.
1)Relation between Celsius scale and Fahrenheit scale: The two scales are related by the formula –
\[F=\dfrac{9}{5}C+32\]
2) Relation between Kelvin scale and Celsius scale: The two scales are related as –
\[C=-273.15+K\]
3) Relation between Fahrenheit scale and Kelvin scale: The two scales are related to each other by the formula –
\[F=\dfrac{9}{5}\times (-273.15+K)+32\]
Where K is the temperature in Kelvin scale,
C is the Celsius scale,
F is in the Fahrenheit scale.
Now, let us convert the given temperature from Celsius to Fahrenheit with the formula as –
\[\begin{align}
& F=\dfrac{9}{5}\times C+32 \\
& \Rightarrow \text{ }F=\dfrac{9}{5}\times 25+32 \\
& \Rightarrow \text{ }F=45+32 \\
& \therefore \text{ }F={{77}^{0}}\text{ F} \\
\end{align}\]
The change in temperature denoted by \[{{25}^{0}}C\] is equal to \[\text{7}{{\text{7}}^{0}}F\]in Fahrenheit scale.
So, the correct answer is “Option D”.
Note:
The Kelvin scale is the standard scale used in temperature measurements. This is because it has the zero reading which is considered the absolute zero temperature or the minimum attainable temperature by any material in the universe.
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