Vegetable oil is stored in a full rigid container at $15$oC$.$ The volume expansion is given by the empirical equation V$=$Vo$(1+$a$1$t$+$a$2$t$^2+$a$3$t$^3)$ where t is temperature in oC$,$ Vo is the volume at $0$oC$,$ and the coefficients in the equation are a$1=0\mathrm{.}6821$ x $10^-3,$ a$2=1\mathrm{.}1405$ x $10^-6,$ a$3=-0\mathrm{.}539$ x $10^-8.$ The coefficient of isothermal compression is k $=52$ x $10^-6$ bar$-1.$a$).$ Determine the percent change in volume if the temperature rises from $15$oC to $28$oC under constant pressure. b$).$ Determine the pressure rise in the container if the temperature in the kitchen rises from $15$oC to $28$oC$.$