{"result":{"text":"y space equals space m x space plus space c comma space P space equals space – m V space plus space c comma space w h e r e space m equals fraction numerator 2 P subscript 0 over denominator V subscript 0 end fraction space a n d space c space equals space 5 P subscript 0\ntable attributes columnalign left end attributes row cell therefore P equals negative open parentheses fraction numerator 2 P subscript 0 over denominator V subscript 0 end fraction close parentheses V plus 5 P subscript 0 end cell row cell U sin g space P V space equals space n R T end cell row cell P equals fraction numerator n R T over denominator V end fraction equals fraction numerator R T over denominator V end fraction space space space space space space space space space space space space space space space space space space space space space space left parenthesis because n equals 1 right parenthesis end cell row cell therefore fraction numerator R T over denominator V end fraction equals negative open parentheses fraction numerator 2 P subscript 0 over denominator V subscript 0 end fraction close parentheses V plus 5 P subscript 0 end cell row cell rightwards double arrow T equals negative fraction numerator 2 P subscript 0 V squared over denominator R V subscript 0 end fraction plus fraction numerator 5 P subscript 0 V over denominator R end fraction end cell row cell F o r space T space t o space b e space m a x i m u m comma space fraction numerator d T over denominator d V end fraction equals 0 end cell row cell rightwards double arrow fraction numerator 4 P subscript 0 over denominator R V subscript 0 end fraction V plus fraction numerator 5 P subscript 0 over denominator R end fraction equals 0 space space space o r space space V equals fraction numerator 5 V subscript 0 over denominator 4 end fraction end cell row cell T subscript max equals negative fraction numerator 2 P subscript 0 over denominator R V subscript 0 end fraction open parentheses 5 over 4 V subscript 0 close parentheses squared plus fraction numerator 5 P subscript 0 over denominator R end fraction open parentheses 5 over 4 V subscript 0 close parentheses space space space space o r space space T subscript max equals 25 over 8 fraction numerator P subscript 0 V subscript 0 over denominator R end fraction end cell end table"},"status":"ok"}