What is the average specific heat of the substance tested over the temperature range from 0°C to 10°C? What is the average specific heat from 90°C to 100°C? What is the average specific heat over the entire range tested? Describe how you would use this data to derive an expression for the specific heat as a function of temperature.
A flow calorimeter like is used with a flow rate of 
of the fluid being tested and a constant temperature of 0°C leaving the constant - temperature bath. The steady-state temperature at section two 
is measured as a function of the power supplied to the heater (P), to obtain the data shown in the table below.
Flow calorimeter
For this problem, we need to find the specific heat or the heat capacity over a range of temperatures. From the text, it is given that
Given the power supplied at the Q values and the flow rate, solving for the heat capacity gives:
Given this the specific heat from 0°C to 10°C is
And going from 90°C to 100°C is
The key here is that the initial temperature for each step is 0 C and that the ?T for each is the difference between 0°C and the new temperature. Over the whole range the °C values are.
The average is °C = 1.683 J/(g k).
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A rigid, nonconducting tank with a volume of 4 
is divided into two unequal parts by a thin membrane. One side of the membrane, representing 1/3 of the tank, contains nitrogen gas at 6 bar and 100°C, and the other side, representing 2/3 of the tank, is evacuated. The membrane ruptures and the gas fills the tank.
(a) What is the final temperature of the gas? How much work is done? Is the process reversible?
(b) Describe a reversible process by which the gas can be returned to its initial state. How much work is done?
Assume nitrogen is an ideal gas for which 
and 
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