The density of a fluid is given by the empirical equation rho 70:5 exp 8:27 107 P where rho is density (lbm/ft3) and P is pressure (lbf/in2). (a) What are the units of 70:5 and 8:27 107?

Question

Renee Walter

Engineering

6 March, 08:36

The density of a fluid is given by the empirical equation rho 70:5 exp 8:27 107 P where rho is density (lbm/ft3) and P is pressure (lbf/in2). (a) What are the units of 70:5 and 8:27 107?

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Answers (1)

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Ann · Answer 1

The unit of 70.5 is lbm/ft^3

The unit of 8.27*10^7 is in^2/lbf

Explanation:

The unit of 70.5 has the same unit as density which is lbm/ft^3 because exponential is found of constant values (unitless values)

The unit of 8.27*10^7 (in^2/lbf) is the inverse of the unit of pressure P (lbf/in^2) because the units have to cancel out so a unitless value can be obtained. Exponential is found of figures with no unit