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Two pressure vessels in a plant are connected by a series of pipes and fiters. The pressures in each vessel are differen
Posted: Thu Jul 14, 2022 2:39 pm
by answerhappygod
- Two Pressure Vessels In A Plant Are Connected By A Series Of Pipes And Fiters The Pressures In Each Vessel Are Differen 1 (39.79 KiB) Viewed 46 times
Two pressure vessels in a plant are connected by a series of pipes and fiters. The pressures in each vessel are different in this dynamic situation. The pressures, relative to a constant reference level, in vessel 1 and vessel 2 are given by p1(t) and p2(t) respectively at time t. They are governed by the following pair of first order, coupled differential equations: dtdp1=ap1+bp2dtdp2=cp1+dp2 where a=−28,b=6,c=−180,d=38 (i) Find the pressures in each pressure vessel if the initial pressures in vessel 1 and vessel 2 are p1=−10 and p2=6. For this part of the question give the pressure in pressure vessel 1 as a function of t. Omit the " p1= " (8 marks) This question accepts numbers or formulas. Plot I Help I Switch to Equation Editor I Preview (ii) What is p2 as a function of t ? Omit tho " p2= " (B marks) This question accepts numbers or formulas. Plot I Holp I Switch to Equation Editor I Preview (iii) What is the pressure in pressure vessel 1 at t=0.024 ? Give your answer to AT LEAST THAEE PLACES OF DECIMALS. Put in this value only le. ornit the " P1=n (2 marks)