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A tank which has a constant volume V = 0.05 m^3 air. The air density, rho, is 6

ID: 1845049 • Letter: A

Question

A tank which has a constant volume V = 0.05 m^3 air. The air density, rho, is 6 kg/m^3. At time t = 0 air escapes through the valve at a constant, uniform speed of v = 300 m/s through an area A=60mm^2 as shown in the figure. Apply the Continuity Equation to the Control Volume shown in the figure and determine: What is the volumetric outflow from the tank (not net outflow). Write the answers to the questions asked in Table 1 (next page; at the appropriate spaces) assuming that the Control Volume (CV) consists of all the air inside the Control Surface Write lint the Parting equation if you want to find the time it takes for the air density inside the tank to decrease to 5 kg/m^3. Using the starting equation of Part determine the time it will take for the air density inside the tank to decrease to 5 kg/m^3.

Explanation / Answer

volumetric outflow Q = A * velocity

= (60/1000000)*300

=2*10-7 m3/s

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