The heat released by 4.44 mol of the ideal monatomic gas of a carnot engine is 991 J. the low temperature (388 k) contraction ends at 55.5 l.. the volume at the beginning of this contraction is 51.82 L.
Using the expression is given as :
W = n RT ln (Vf / Vi)
991 J = 4.44 mol × 8.314 J / mol K × 388 ln (55.5 / Vi )
991 = 14322.69 × ln (55.5 / Vi )
0.0691 = ln ( 55.5 / Vi )
(55.5 / Vi ) = 1.071
Vi = 51.82 L
The initial volume of the monoatomic gas is 51.85 L.
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