$3\mathrm{.}1$ A certain gas at $0C$ and $1$ atm pressure has $Z=1\mathrm{.}00054.$ Estimate the value of $b$ for this gas.

$3\mathrm{.}2$ If $Z=1\mathrm{.}00054$ at $0C$ and $1$atm and the Boyle temperature of the gas is $107K,$ estimate the values of a and of $b.($Only the first two terms in the expression of $Z$ are needed.$)$