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Hydrogen is pumped into the closed cylindrical tank such that the mass flow through the tube is m = (0.2p 2) kg/s. Determine the density of the hydrogen within the tank when t = 8s from the time the pump is turned on. Assume that initially there is 0.4kg of hydrogen in the tank. 0.5 m 1.5 m

Hydrogen is pumped into the closed cylindrical tank such that the mass flow through the tube is m = (0.2p 2) kg/s. Determine the density of the hydrogen within the tank when t = 8s from the time the pump is turned on. Assume that initially there is 0.4kg of hydrogen in the tank. 0.5 m 1.5 m

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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Hydrogen is pumped into the closed cylindrical tank such that the mass flow through the tube is m = (0.2p 2) kg/s. Determine the density of the hydrogen within the tank when t = 8s from the %3D time the pump is turned on. Assume that initially there is 0.4kg of hydrogen in the tank. 0.5 m 1.5 m 3
Transcribed Image Text:Hydrogen is pumped into the closed cylindrical tank such that the mass flow through the tube is m = (0.2p 2) kg/s. Determine the density of the hydrogen within the tank when t = 8s from the %3D time the pump is turned on. Assume that initially there is 0.4kg of hydrogen in the tank. 0.5 m 1.5 m 3
Hydrogen is pumped into the closed cylindrical tank such that the mass flow through the tube is m = (0.2p ?) kg/s. Determine the density of the hydrogen within the tank when t=6s from the time the pump is turned on. Assume that initially there is 0.3kg of hydrogen in the tank. 0.5 m 1.5 m SOLUTION Homework #4 Solutions The fixed control volume considered is shown in Fig. a. This control volume has a constant volume of ¥ = #(0.5 m)²(1.5 m) = 0.375 m³ The density of the hydrogen within the control volume changes with time, and therefore contributes to local change. Applying the continuity equation, realizing that m = V •dA, pdý + dp - m = 0 dt dp 0.375n- 0.2p = 0 dt dp 8 dt 15n Integrating with the initial condition p = po at t=0, (P 15π 1 -pēdp 8. Po dt = 15л 2 t = 8 3 5n 3 - På 4 'Po 4t p = 57 På) kg/m³ 0.8 0.3kg 0.375n m3 kg/m³. Then when t=6s, Here Po %3D 4+6 p = (0.8) 5n p = 1.40 kg/m³
Transcribed Image Text:Hydrogen is pumped into the closed cylindrical tank such that the mass flow through the tube is m = (0.2p ?) kg/s. Determine the density of the hydrogen within the tank when t=6s from the time the pump is turned on. Assume that initially there is 0.3kg of hydrogen in the tank. 0.5 m 1.5 m SOLUTION Homework #4 Solutions The fixed control volume considered is shown in Fig. a. This control volume has a constant volume of ¥ = #(0.5 m)²(1.5 m) = 0.375 m³ The density of the hydrogen within the control volume changes with time, and therefore contributes to local change. Applying the continuity equation, realizing that m = V •dA, pdý + dp - m = 0 dt dp 0.375n- 0.2p = 0 dt dp 8 dt 15n Integrating with the initial condition p = po at t=0, (P 15π 1 -pēdp 8. Po dt = 15л 2 t = 8 3 5n 3 - På 4 'Po 4t p = 57 På) kg/m³ 0.8 0.3kg 0.375n m3 kg/m³. Then when t=6s, Here Po %3D 4+6 p = (0.8) 5n p = 1.40 kg/m³
Expert Solution
Step 1

Given:mass flow rate=(0.2ρ-0.5) kg3sInitial mass of hydrogen present=0.4 kglength of cylinder=1.5 mradius of cylinder=0.5 m

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