Answer: A moonshiner produces pure ethanol (ethyl alcohol)

Chapter 11, Problem 95P

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QUESTION:

Problem 95P

A moonshiner produces pure ethanol (ethyl alcohol) late at night and stores it in a stainless steel tank in the form of a cylinder 0.300 m in diameter with a tight-fitting piston at the top. The total volume of the tank is 250 L(0.250 m3). In an attempt to squeeze a little more into the tank, the moonshiner piles 1420 kg of lead bricks on top of the piston. What additional volume of ethanol can the moonshiner squeeze into the tank? (Assume that the wall of the tank is perfectly rigid.)

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QUESTION:

Problem 95P

A moonshiner produces pure ethanol (ethyl alcohol) late at night and stores it in a stainless steel tank in the form of a cylinder 0.300 m in diameter with a tight-fitting piston at the top. The total volume of the tank is 250 L(0.250 m3). In an attempt to squeeze a little more into the tank, the moonshiner piles 1420 kg of lead bricks on top of the piston. What additional volume of ethanol can the moonshiner squeeze into the tank? (Assume that the wall of the tank is perfectly rigid.)

ANSWER:

Solution 95P

Step 1:

Diameter of the tank, d =0.3m

So radius , r =0.153

Volume of the tank , v=0.250m3

Pressure , p= = ………….(1)

Area of the tank, A =r2

A = ( 0.15 )2 

A =3.14  0.0225

A =0.07065

Put this value in ( 1 )

dp=

dp=1.96970 105

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