An internal combustion engine is to be analyzed using an air$-$standard dual cycle approach. The

engine has a compression ratio of $13\mathrm{.}59.$ At the beginning of the compression stroke, the pressure is

$30$ psia and the temperature is $48$ o R $.$ The volume at bottom dead center is $0\mathrm{.}6$ ft $3.$ The pressure

increases by a factor of $1\mathrm{.}1515$ during the constant volume heat addition process. The maximum

temperature of the cycle is $3300$ R $.$ For this engine, complete the following items.

a$.$ Sketch a $p-v$ and T$-$s diagram for this engine and label the states.

b$.$ Determine the net heat addition for the cycle, in Btu.

c$.$ Determine the net work for the cycle, in Btu.

d$.$ Determine the thermal efficiency of the engine.

e$.$ If you were going to analyze this engine assuming constant specific heats, what value of k would you

use? Include an explanation.

f$.$ Calculate the thermal efficiency using the equation derived from assuming constant specific heats

$($and isentropic compression and expansion$)-$ use your k from part e $.$

Summarize you results in the table below $($or similar$)$An internal combustion engine is to be analyzed using an air$-$standard dual cycle approach. The

engine has a compression ratio of $13\mathrm{.}59.$ At the beginning of the compression stroke, the pressure is

$30$ psia and the temperature is $48$ o R $.$ The volume at bottom dead center is $0\mathrm{.}6$ ft $3.$ The pressure

increases by a factor of $1\mathrm{.}1515$ during the constant volume heat addition process. The maximum

temperature of the cycle is $3300$ R $.$ For this engine, complete the following items.

a$.$ Sketch a $p-v$ and T$-$s diagram for this engine and label the states.

b$.$ Determine the net heat addition for the cycle, in Btu.

c$.$ Determine the net work for the cycle, in Btu.

d$.$ Determine the thermal efficiency of the engine.

e$.$ If you were going to analyze this engine assuming constant specific heats, what value of k would you

use? Include an explanation.

f$.$ Calculate the thermal efficiency using the equation derived from assuming constant specific heats

$($and isentropic compression and expansion$)-$ use your k from part e $.$

Summarize you results in the table below $($or similar$)$