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A water tank is completely filled with liquid water at 20 o C and sealed shut. T

ID: 1919907 • Letter: A

Question

A water tank is completely filled with liquid water at 20oC and sealed shut. The tank material canwithstand tension caused by a volumetric expansion of the water of up to 2%.

a) Determine the maximum temperature rise allowable for safety. The coefficient of volume expansion is ? =3.77*10-4 K-1.

Use approximate form of the following differential relation for the total change in volume, (equation in attached pic)

begin by ignoring the effect of the change due to fluid compressibility.

b) Additionally, explain qualitatively: if you were to include the effect of bulk modulus of elasticity (K), assumed constant, would the calculated value for allowable safe temperature be higher or lower?

b is where im having trouble

dV = ( V/ T)P dT + ( V/ P)T dP = [beta dT - (1/K)dP|V].

Explanation / Answer


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