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a diesel engine requires no spark plug . rather, the air in the cylinder is comp

ID: 1958260 • Letter: A

Question

a diesel engine requires no spark plug . rather, the air in the cylinder is compressed the increased temprature ignites the fuel on injection into the cylinder.
a) If the air initially at T=293K and is then compressed adiabatically by a factor of in volume , what final temperature is attained ( before fuel injection)?
b) By what factor does the pressure increase?

Note: consider air as an ideal di-atomic gas,i.e., use g=Cp/Cv= 1.4 in the relevant of temperatures.

Pleeeeeeeeeeeeeeease help me ??????

Explanation / Answer

Given Initial temperature of the cylinder T1 = 293 K Ratio of heat capacities = 1.4 a) Here the gas is compressed adiabatically, The final change in temperature is                         T2 = T1 ( V1 / V2 )-1     ------ (1) Here V1 is the initial volume of gas and V2 is the final volume. Here the ratio of V1 and V2 is not given. Plug the values in equation (1) and the get the value of final temperature. _______________________________________________________________ b) The final pressure of the gas is                       P2 = P1 ( V1 / V2 )                 P2 / P1 =( V1 / V2 )               ------ (2) Final pressure of the gas is also depends on ratio of V1 and V2 . Plug the values in equation (2) and the get the factor of increase in pressure. Given Initial temperature of the cylinder T1 = 293 K Ratio of heat capacities = 1.4 a) Here the gas is compressed adiabatically, The final change in temperature is                         T2 = T1 ( V1 / V2 )-1     ------ (1) Here V1 is the initial volume of gas and V2 is the final volume. Here the ratio of V1 and V2 is not given. Plug the values in equation (1) and the get the value of final temperature. _______________________________________________________________ b) The final pressure of the gas is                       P2 = P1 ( V1 / V2 )                 P2 / P1 =( V1 / V2 )               ------ (2)                 P2 / P1 =( V1 / V2 )               ------ (2) Final pressure of the gas is also depends on ratio of V1 and V2 . Plug the values in equation (2) and the get the factor of increase in pressure.
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