Assume the ideal law gas constant, R, and the Kelvin scale, (273 + Temp in Celsi

Question

Assume the ideal law gas constant, R, and the Kelvin scale, (273 + Temp in Celsius) had not been discovered. You know the ideal gas behavior obeys the following expression:

                                                                    PV = K1 (K2+T)

Where: P is absolute pressure in kPa, V is the molar specific volume in cubic meters/gram-mole, T is temperature in Celsius, and K1 and K2 are constants to be found. You have noticed that Table B5, in the back of your text book has information on steam which you can use. Plot the appropriate data from Table 5 in a straight line and find the values of K1 in kJ/kgmoleC, and K2 in degrees using trend-line. How do the unknown values compare with known values? Why?

Explanation / Answer

If we plot the P vs T plot we will get the inter cepts
From that we can see K1K2= 2270 = y intercept and K1=8.314 = x intercept when V=1
So, K1=8.314 and K2=273
Now we see We get the equation PV= 8.314(273+T)
So, we actually get back the  gas equation and we get R= 8.314=K1
and K2= 273 =kevin scale temperature - celcius scale temperature.
Thus the unknown values can be compared with the known values.
(P.S. = The plot could not be given as the data table you mentioned is not there in the question.

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