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Question Number 42262 by Necxx last updated on 21/Aug/18

$$Heatissuppliedatarateof500W$$$$toapressurecookercontaining$$$$waterandfittedwithasafety$$$$valve.Steamescapesuchthat$$$$waterislostat12g/min.Ifthe$$$$heatissuppliedat900W,wateris$$$$lostat20g/min.Calculatethe$$$$specificlatentheatofsteam.$$$$$$

Answered by tanmay.chaudhury50@gmail.com last updated on 21/Aug/18

$$dQ=mcdT+\left(dm\right)L$$$$\frac{dQ}{dt}=mc\frac{dT}{dt}+L\frac{dm}{dt}$$$$\frac{{dQ}_1}{dt}=mc\frac{dT}{dt}+L\frac{{dm}_1}{dt}$$$$\frac{{dQ}_2}{dt}=mc\frac{dT}{dt}+L\frac{{dm}_2}{dt}$$$$L=\frac{\frac{{dQ}_2}{dt}-\frac{{dQ}_1}{dt}}{\frac{{dm}_2}{dt}-\frac{{dm}_1}{dt}}=\frac{900-500}{\frac{20\times {10}^{-3}}{60}-\frac{12\times {10}^{-3}}{60}}$$$$L=\frac{400\times 60}{{10}^{-3}}\times \frac{1}{8}=3\times {10}^{6}Jouleplscheck...$$

Commented by Necxx last updated on 21/Aug/18

$$Yeah....Itscorrectsir..Thanks$$

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