Question

Solve the following example. What must be the temperature in Fahrenheit so that it will be twice its value in Celsius?

Answer 1

Temperature is a physical number that describes how hot or cold something is. When a body comes into contact with another that is colder or hotter, it is the manifestation of thermal energy, which is present in all matter and is the cause of the occurrence of heat, a flow of energy. A thermometer is used to determine the temperature. Thermometers are calibrated in a variety of temperature scales that have traditionally defined temperature using a variety of reference points and thermometric substances.

Formula used
${F^o} = 32 + \dfrac{9}{5}{C^o}$

Complete step-by-step solution:
A thermometer is used to determine the temperature. Thermometers are calibrated in a variety of temperature scales that have traditionally defined temperature using a variety of reference points and thermometric substances. The Celsius scale (previously known as centigrade, indicated as °C), the Fahrenheit scale (denoted as °F), and the Kelvin scale (denoted as K) are the most popular scales. The Kelvin scale (denoted as K) is primarily used for scientific purposes under conventions of the International System of Units (SI). The degree Celsius is a temperature unit on the Celsius scale, which was previously known as the centigrade scale. The degree Celsius can refer to a specific temperature on the Celsius scale or a unit used to represent a temperature difference or range. It was named after Anders Celsius (1701–1744), a Swedish astronomer who devised a comparable temperature scale.
Let's say the temperature is T in Celsius.
So, in Fahrenheit, the temperature is 2T.
${{\text{F}}^o} = 32 + \dfrac{9}{5}{{\text{C}}^o}$
$\Rightarrow 2\;{\text{T}} = 32 + \dfrac{9}{5}\;{\text{T}}$
$\;{\text{T}} = {160^\circ }{\text{C}}$
$\Rightarrow$Temperature in Fahrenheit $= 2\;{\text{T}} = {320^\circ }{\text{F}}$

Note: Absolute zero is the lowest theoretical temperature at which no further thermal energy can be collected from a substance. The third rule of thermodynamics recognises that it can only be approached extremely precisely (100 pK) but not obtained experimentally. Temperature is essential in physics, chemistry, Earth science, astronomy, medicine, biology, ecology, material science, metallurgy, mechanical engineering, and geography, as well as most areas of everyday life.