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Ch.10 - Gases

Chapter 10, Problem 15a

A person weighing 75 kg is standing on a threelegged stool. The stool momentarily tilts so that the entire weight is on one foot. If the contact area of each foot is 5.0 cm2, calculate the pressure exerted on the underlying surface in (a) bars

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Hi everyone today, we have a question telling us that a sample of gas is held inside a cylinder equipped with a movable piston that has an area of 0.720 m squared. If a mass of 8.42 kg is pushing down on the piston, calculate the pressure exerted on the gas in bars so we know that pressure equals force over area and force equals mass times acceleration and our acceleration is 9. meters per second squared. So our force is going to equal 8.42 kg Times 9.8 meters per second squared, And that equals .516 kg times meter per second square And that equals 82 . Newtons. So our pressure is going to equal 82.516 Newtons Divided by 0. meter squared, And that equals 0.60 newtons per meter squared, Which equals .60 Pascal's one bar Equals to the 5th pascal's. So our pressure is going to equal 0.60 pascal's times one bar over 10 to the 5th Pascal's and our pascal's are canceling out And that gives us 1.15 Times 10 to the -3 bars. And that is our final answer. Thank you for watching. Bye.
Related Practice
Textbook Question

Which of the following statements is false? (a) Gases are far less dense than liquids. (b) Gases are far more compressible than liquids. (c) Because liquid water and liquid carbon tetrachloride do not mix, neither do their vapors. (d) The volume occupied by a gas is determined by the volume of its container.

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Textbook Question

(b) Which units are appropriate for expressing atmospheric pressures, N, Pa, atm, kg>m2?

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Textbook Question

(c) Which is most likely to be a gas at room temperature and ordinary atmospheric pressure, F2, Br2, K2O

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Textbook Question

A person weighing 75 kg is standing on a threelegged stool. The stool momentarily tilts so that the entire weight is on one foot. If the contact area of each foot is 5.0 cm2, calculate the pressure exerted on the underlying surface in (c) pounds per square inch

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Textbook Question

A set of bookshelves rests on a hard floor surface on four legs, each having a cross-sectional dimension of 3.0 x 4.1 in contact with the floor. The total mass of the shelves plus the books stacked on them is 266 kg.

Calculate the pressure in pascals exerted by the shelf footings on the surface.

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Textbook Question

(a) How high in meters must a column of ethanol be to exert a pressure equal to that of a 100-mm column of mercury? The density of ethanol is 0.79 g/mL, whereas that of mercury is 13.6 g/mL. Assume that the density of the water is 1.00 5 1.00 3 103 kg/m3. The gravitational constant is 9.81 m/s2, and 1 Pa 5 1 kg/ms2.

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