Problem $2.$

The density of a fluid is given by the following empirical equation, where $=$density$(\frac{g}{c}{m}^3)$ and $P=$

pressure $(\frac{N}{m^2})$

$=2\mathrm{.}47e^{(5\mathrm{.}42{10}^{-10}P)}$

$($a$.)$ What are the units of $2\mathrm{.}47$ and $5\mathrm{.}42{10}^{-10}?$

$($b$.)$ Derive the formula for $(l\frac{b_m}{f}{t}^3)$ as a function of $P(l\frac{b_d}{i}{n}^2).$lo