The Rankine temperature scale(abbreviated ) uses the same scale size degrees as Fahrenheit, but measured up from absolute zero like Kelvin(so Rankine is to Fahrenheit as Kelvin is to Celsius). Find the conversion formula between Rankine and Fahrenheit and also between Rankine and Kelvin. What is the room temperature on the Rankine scale?
R = and R = 536.67
The conversion equation for Kelvin to Celsius is,
K = C + 273.15 -----------(1)
and similarly conversion equation for Rankine to Fahrenheit is,
R = F + 459.67 -----------(2)
But we know that, F =
substituting this in equation (2),
substituting C from equation (1), we get,
The room temperature in Kelvin scale will be 25 + 273.15 = 298.15K
Applying the conversion formula of Kelvin to Rankine scale, we get,
R = 536.67
Problem 1.41. To measure the heat capacity of an object, all you usually have to do is put it in thermal contact with another object whose heat capacity you know. As an example, suppose that a chunk of metal is immersed in boiling water (100°C), then is quickly transferred into a Styrofoam cup containing 250 g of water at 20°C. After a minute or so, the temperature of the contents of the cup is 24°C. Assume that during this time no significant energy is transferred between the contents of the cup and the surroundings. The heat capacity of the cup itself is negligible.
Pretend that you live in the th century and don't know the value of Avogadro's number* (or of Boltzmann's constant or of the mass or size of any molecule). Show how you could make a rough estimate of Avogadro's number from a measurement of the thermal conductivity of gas, together with other measurements that are relatively easy.
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