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Question: If two temperatures differ by \(25\) degrees on Celsius scale, the difference of temperature on Fahr...

If two temperatures differ by 2525 degrees on Celsius scale, the difference of temperature on Fahrenheit scale is:
A. 65{65^ \circ }
B. 45{45^ \circ }
C. 38{38^ \circ }
D. 25{25^ \circ }

Explanation

Solution

Originally, by setting zero, the Celsius temperature range was specified as the temperature at which water freezes. The temperature at which ice melts was later redefined as Zero degrees Celsius. The other point at which Celsius was formed, 100100 degrees Celsius, was described as the water's boiling point.

Complete answer:
Fahrenheit is a temperature scale mainly found in the United States, where the water freezing point is 3232 degrees and the water boiling point is 212212 degrees. This divides 180180 degrees from the boiling and freezing points of water. Thus, a degree on the scale of Fahrenheit is 1/1801/180 of the interval between the freezing point and boiling point. The freezing and boiling points of water are 100100 degrees apart on the Celsius scale. A 1F{1^ \circ }F temperature interval is equal to a 5/95/9 degrees Celsius interval.

Each degree Celsius is equivalent to 59th{\dfrac{5}{9}^{th}} of a degree Fahrenheit.
Each degree of Fahrenheit equals 95th{\dfrac{9}{5}^{th}} of one degree of Celsius.
In Celsius, a 2525 degree difference will be 25×95=4525 \times \dfrac{9}{5} = 45 degrees Fahrenheit.

Hence, option B is correct.

Additional information:
Ice point temperature- The temperature under atmospheric pressure at which liquid and solid water is in equilibrium. For determining temperature ranges and for calibrating thermometers, the ice point is by far the most critical fixed point. Freezing point is where a liquid becomes a solid at a temperature. As with the melting point, the freezing point is normally raised by added pressure. In the case of mixtures and for some chemical compounds including fats, the freezing point is smaller than the melting point.

Note: Here we have to multiply 95\dfrac{9}{5}. If we multiply 59\dfrac{5}{9} instead of 95\dfrac{9}{5}, then the answer would be wrong. Also we may be confused between the options so we have to be careful.