Question

6. The density of a certain liquid is given an equation of the following form:
D= (A + B t) e^(C)(P)
Where D= density in g/cm3
t = temperature in oC
P = pressure in atm
If the equation is dimensionally consistent, What are the units of A, B and C ?

Answer 1

is your equation like this:
\[\Large P = \left( {A + Bt} \right){e^{CP}}\]

Answer 2

yes :)

Answer 3

if yes, then A has the dimension of a "density", whereas B has the dimension of "density/temperature"
C*P has to be a number, so C has the dimension of "pressure^(-1)" or (1/pressure)

Answer 4

i got it, thank you @Michele_Laino :)

Answer 5

:)