P$1)$Two large vessels are connected by a tube $5$cm in diameter and $15$cm inlength. Vessel$-1$ contains $80\%$N$\_(2)($A$)$ and $20\%$O$\_(2)($B$)$;Vessel$-2$ contains $20\%$N$\_(2)($A$)$ and $80\%$O$\_(2)($B$).$The temperature is $20\backslash$deg C and the total pressure is $2$atm. Calculate $($GivenD$\_($AB$)=1\mathrm{.}01\backslash$times $10^(-5)($m$^(2))/($s$)),$a$)$ The steady state flux and the rate of transport of N$\_(2)$ from vessel$-1$ to vessel$-2.$b$)$ Find the same for O$\_(2).$c$)$ The partial pressure of N$\_(2)$ and its gradient in the tube $0\mathrm{.}05$m from vessel$-1.$d$)$ The net mass flux w$.$r$.$t$.$ a stationary observer.