1. Suppose a temperature scale is defined in terms of a substance A such that the efficiency of a Calmat engine operating between the boiling and melting points of this substance (at a pressure of I aim) is exactly 50%. One degree on this new scale is equal to two degrees on the Fahrenheit scale and there are 75 A-degrees between the melting and boiling points of the substance. Determine the melting- and boiling-point temperatures of the substance on the Kelvin scale.
2. Analyze a Calmat cycle for the special case of an ideal paramagnet to show that the rdtio of two empirical temperatures defined by Curie's law, is equal to the ratio of the corresponding thermodynamic temperatures. The internal energy of an ideal paramagnet depends on T alone; and during an adiabatic process A/0i remains constant.
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