An air conditioner is set t0 maintain a room temperature of 24″C. What will be the corresponding temperature in (a) Degrees Fahrenheit (b) Degrees Kelvin
The Correct Answer and Explanation is:
To convert a temperature of 24°C into other units, we use the following formulas:
(a) Degrees Fahrenheit (°F):
°F=(95×°C)+32°F = \left( \frac{9}{5} \times °C \right) + 32°F=(59×°C)+32°F=(95×24)+32=43.2+32=75.2°F°F = \left( \frac{9}{5} \times 24 \right) + 32 = 43.2 + 32 = 75.2°F°F=(59×24)+32=43.2+32=75.2°F
(b) Degrees Kelvin (K):
K=°C+273.15K = °C + 273.15K=°C+273.15K=24+273.15=297.15KK = 24 + 273.15 = 297.15 KK=24+273.15=297.15K
Explanation:
Temperature can be measured in several units, with Celsius, Fahrenheit, and Kelvin being the most commonly used. In scientific and international settings, Celsius and Kelvin are more prevalent, while Fahrenheit is mostly used in the United States.
To convert from Celsius to Fahrenheit, you multiply the Celsius temperature by 9/5 and then add 32. This conversion is based on the fact that water freezes at 0°C and boils at 100°C, while in Fahrenheit it freezes at 32°F and boils at 212°F. The two scales differ in their size of degree and starting points, which is why the conversion includes both a multiplier and an addition of 32.
Kelvin, on the other hand, is the SI unit of temperature and is primarily used in scientific contexts. It starts at absolute zero, which is 0 K, the point where all molecular motion theoretically stops. The Kelvin scale does not use the degree symbol. The size of one Kelvin is the same as one degree Celsius, so converting between the two simply requires adding or subtracting 273.15.
In this case, a room temperature of 24°C is quite comfortable for most people. When converted, it corresponds to 75.2°F and 297.15 K, giving you equivalent values in both Fahrenheit and Kelvin scales.
