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Fluid MechanicsI tried to get a jar of Mexican chocolate mole' sauce through an airport TSA officer by telling her that the bulk modulus of the sauce was at least 1010 Pa, and that is had a density of 7000 kg/m3, e.g., that it was less compressible than, and nearly as dense as steel.a) Who won the arguement and why?The jar was clear and not totally full- that is, there was a little air at the top.b) What  simple experiment could she design (without opening the lid or breaking the jar) to answer this question for certain?

Question

Fluid Mechanics

I tried to get a jar of Mexican chocolate mole' sauce through an airport TSA officer by telling her that the bulk modulus of the sauce was at least 1010 Pa, and that is had a density of 7000 kg/m3, e.g., that it was less compressible than, and nearly as dense as steel.

a) Who won the arguement and why?

The jar was clear and not totally full- that is, there was a little air at the top.

b) What  simple experiment could she design (without opening the lid or breaking the jar) to answer this question for certain?

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Step 1

We have been given the following information,

Density of  Mexican chocolate mole sauce =  7000 kg/m3

Bulk modulus of Mexican chocolate mole sauce  =  1010 Pa

We know the, following information

Density of  steel  =  8050 kg/m3

Bulk modulus of steel  =  1.6 x 1011 Pa

Step 2

Solution of part (a)

We have the following relation between the compressibility and bulk modulus

K
Where, Bis the bulk modulus
K is the compressibility
= hydrostatic pressure
Volumetric strain
And the value of
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K Where, Bis the bulk modulus K is the compressibility = hydrostatic pressure Volumetric strain And the value of

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Step 3

From the above relation compressibility is inversely proportional to bulk modulus.

As it is evident that the bulk modulus of steel is more than that of sauce, therefore the compressibility of st...

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