Temperature Scale Conversion (Celsius, Fahreinheit and Kelvin) Mathematics in Physics

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Mathematics with Professor Rafael Procopio

Published on Feb 6, 2013
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Subscribe to the platform http://www.matematicario.com.br ???? Sign up for free to receive news: http://site.matematicario.com.br/dica... Thermometry: Conversion of Thermometric Scales. Heat and Temperature Heat is the energy transferred from one body to another when there is a temperature difference. Temperature is the measure of the agitation of molecules. For example: when we put ice in juice, the juice molecules are more agitated than those in the ice. That is why we say that the temperature of the juice is higher than that of the ice or that the juice is hotter than the ice. When we put them in contact, energy transfer occurs. Consequently, the ice heats up and the juice cools down. How to measure temperature When two or more bodies reach the same temperature, we say that they are in thermal equilibrium. We can then compare these objects to make measurements. This is how a thermometer works. The liquid inside it (usually mercury) comes into thermal equilibrium with what we want to measure and expands. But what are the units of measurement? The Celsius Scale Water is the most important element for life on Earth. The Celsius scale has a zero point at the temperature at which water freezes and 100 at the temperature at which water boils. Measurements are then made in degrees Celsius (°C). The Fahrenheit Scale Daniel Gabriel Fahrenheit chose the freezing point of a mixture of water and salt as the zero point and the maximum point (96) as the temperature of a healthy man. Thus, pure water freezes at 32° Fahrenheit (F) and boils at 212°F. The Kelvin Scale William Tomson (known as Lord Kelvin), studying the behavior of gases, discovered the lowest temperature that a body could reach, which would be equivalent to -273°C. From there, he determined the zero point of his scale. He thus created what we call the absolute scale, since it uses a universal phenomenon as a reference. In it, water freezes at 273 Kelvin (K) and boils at 373 K -- note that we do not use degrees, as this is the absolute scale and not a comparison between phenomena like the other scales. Conversion from Celsius to Kelvin, Kelvin to Celsius Scales The difference between the Celsius (C) and Kelvin (K) scales is simply the point 0. So to make the conversion, just add 273: K = C + 273 Ex: Convert 37°C to the Kelvin scale. K = C + 273 C = 37°C K = 37 + 273 K = 310K Celsius to Fahrenheit, Fahrenheit to Celsius Looking at the figure, we see that the difference between the melting and boiling points of water represent the same temperature variation. Therefore: (C- 0) / (100 -- 0) = (F -- 32) / (212 -- 32) (C / 100) = (F -- 32)/180 Simplifying, we have: C / 5 = (F -- 32) / 9 Ex: Convert 37°C to the Farenheit scale. C/ 5 = (F -- 32) / 9 C = 37°C 37 / 5= (F -- 32) / 9 7.4 = (F -- 32) / 9 9 . 7.4 = F -- 32 F -- 32 = 66.6 F = 66.6 + 32 F = 98.6°F Kelvin to Fahrenheit, Fahrenheit to Kelvin To convert from the Kelvin scale to Fahrenheit, we can convert from Celsius to Kelvin and then to Fahrenheit or use the formula C / 5 = (F -- 32) / 9 C = K -- 273 (K -- 273) / 5 = (F -- 32) / 9 Conclusion To convert temperature values ​​from one scale to another, simply put the known value in the formula and calculate the unknown knowing that: C = Temperature in Degrees Celsius (°C) F = Temperature in Degrees Fahrenheit (°F) K = Temperature in Kelvin (K) Source: http://www.infoescola.com/fisica/conv... Mathematics Rio

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