A rigid tank (volume = V) containing an ideal gas is initially at T, and P. At time zero, an exit pipe (area = A) is opened and gas flows out of the tank at velocity v = K(P – Pam)2, where P is the pressure in the tank, Pam is the pressure of the atmosphere outside the tank, and K is a constant. The temperature of the gas in the tank is maintained at T, during the process. The pressure and the temperature of the gas exiting the tank are Pm and T1, respectively. Assume that, inside the tank, the pressure and specific volume do not vary with position. A. Derive a differential equation for the tank pressure P as a function of time t. B. Determine the time required for the tank pressure to reach P. atm
A rigid tank (volume = V) containing an ideal gas is initially at T, and P. At time zero, an exit pipe (area = A) is opened and gas flows out of the tank at velocity v = K(P – Pam)2, where P is the pressure in the tank, Pam is the pressure of the atmosphere outside the tank, and K is a constant. The temperature of the gas in the tank is maintained at T, during the process. The pressure and the temperature of the gas exiting the tank are Pm and T1, respectively. Assume that, inside the tank, the pressure and specific volume do not vary with position. A. Derive a differential equation for the tank pressure P as a function of time t. B. Determine the time required for the tank pressure to reach P. atm
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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