Use the first law to find the work done in an adiabatic expansion. In a car engine operating at a frequency of 1.80 x 103 rev/min, the expansion of hot, high- pressure gas against a piston occurs in about 10 ms.  Because energy transfer by heat typically takes a time on the order of minutes or hours, it’s safe to assume little energy leaves the hot gas during the expansion.  Find the work done by the gas on the piston during this adiabatic expansion by assuming  the  engine  cylinder  contains  0.100  moles  of  an ideal monatomic gas that goes from 1.200 x 103 K to 4.00 x 102 K, typical engine temperatures, during the expansion.

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Use the first law to find the work done in an adiabatic expansion.

In a car engine operating at a frequency of 1.80 x 103 rev/min, the expansion of hot, high- pressure gas against a piston occurs in about 10 ms.  Because energy transfer by heat typically takes a time on the order of minutes or hours, it’s safe to assume little energy leaves the hot gas during the expansion.  Find the work done by the gas on the piston during this adiabatic expansion by assuming  the  engine  cylinder  contains  0.100  moles  of  an ideal monatomic gas that goes from 1.200 x 103 K to 4.00 x 102 K, typical engine temperatures, during the expansion.   

 

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