- #1
bobpeg123
- 8
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A hypothetical substance has a compressibility k = a /V and a volume expansivity
B = 2bT /V , where a and b are constants and V is the molar volume. Show that the
equation of state is:
V = bT2 - aP + constant
To be honest I'm not entirely sure what I'm actually supposed to be doing with this question. Do I treat it as an ideal gas and therefore use that equation or is that completely wrong.
So far I have integrated each of the equations in respect to T, giving me,
(integral of) a/V dT = aT/V + c
(integral of) 2bT/V dT = bT^2/V + c
But now I'm stuck and can't seem to find a relevant relationship between P and what I've got there.
B = 2bT /V , where a and b are constants and V is the molar volume. Show that the
equation of state is:
V = bT2 - aP + constant
To be honest I'm not entirely sure what I'm actually supposed to be doing with this question. Do I treat it as an ideal gas and therefore use that equation or is that completely wrong.
So far I have integrated each of the equations in respect to T, giving me,
(integral of) a/V dT = aT/V + c
(integral of) 2bT/V dT = bT^2/V + c
But now I'm stuck and can't seem to find a relevant relationship between P and what I've got there.