Homework $3$

Given:

Fuel: $,$ Ethanol $,C_2{H}_{5}OH$

Equivalence ratio: $,=0\mathrm{.}75$

Compression Ratio: $9\mathrm{.}0$

Displacement $(V_d)$:$,0\mathrm{.}4L$

IMP: $,80$kPa

IMT: $,350K$

EMP: $,100$kPa

LHV: $,26950$ kJ$/$kg

EVO: BDC

EVC: $,0\mathrm{.}05$ L ATDC

IVO: $,0\mathrm{.}05L$ ATDC

IVC: BDC

Energy Release: TDC

$k=1\mathrm{.}35$ for all parts

${}_C=1$

AF at $=1$:$,9\mathrm{.}0$

Chemical equation $($not balanced$)$ for stoichiometric combustion given:

$C_2{H}_{5}OH+dots{O}_2+dots{N}_{2}dotsC{O}_2+dots{H}_{2}O+dots{N}_2$

Find:

$($a$)T$ using the chemical equation for combustion. $($Hint: $T=T_3-T_2)(20$ points$)$

$($b$)$ Find the thermal efficiency of the engine ${}_t(70$ points$)$

$($c$)$ Draw the P$-$V diagram for the engine $(10$ points$)$