W=RT∫V1V21VdV=RTln(V2V1)cap W equals cap R cap T integral from cap V sub 1 to cap V sub 2 of the fraction with numerator 1 and denominator cap V end-fraction space d cap V equals cap R cap T l n open paren the fraction with numerator cap V sub 2 and denominator cap V sub 1 end-fraction close paren From the First Law,
Often cited as the ultimate, albeit challenging, source. W=RT∫V1V21VdV=RTln(V2V1)cap W equals cap R cap T integral