Gases
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A container is filled with a certain mass of gas at a pressure of 3.0 atm and a temperature of 27 °C. Determine the percentage of gas that must escape from the container so that its pressure at 47 °C is 2.0 atm. Neglect the expansion of the container.

A metal container of a certain capacity is filled with air at 27 °C. The set is heated; the pressure remains constant due to the action of a valve that allows the escape of the air. To what temperature must the system be brought so that 10% of the mass of air initially placed in the container escapes? The coefficient of volume expansion of the metal is 0.0005 °C−1 and the air is assumed to be a ideal gas.

The fire extinguishers sold for automobiles are in the shape of the cylindrical capsule, with hemispherical ends, as shown in the figure. They are made of iron and contain about 1 liter of CO2, under a pressure of 2.8 atmospheres at a temperature of 21°C. Assume that CO2 behaves as an ideal gas.
a) Calculate the volume of iron used in making the capsule in cm3;
b) Calculate the CO2 pressure, in atmospheres, at 0°C.

A fish at the bottom of a lake 15 m deep emits an air bubble of volume V0, the temperature at the bottom of the lake being 5 °C and at the surface 17 °C. Calculate the volume of the bubble when it reaches the surface of the lake. Data: atmospheric pressure p0 = 1.01×105 Pa, water density μ = 1.0 g/cm3, and acceleration due to gravity g = 9.8 m/s2.

A glass capillary closed at the lower end and open at the upper end has air trapped at the bottom by a column of mercury as shown in the figure. The capillary is inclined at 60° from the vertical. What is the length of the air column in this condition? Given: local air pressure 1.0×105 Pa, the density of mercury 13.6 g/cm3, and acceleration due to gravity is 9.8 m/s2.

A mercury barometer has a small amount of air at the top of the tube, so its readings are incorrect. For an actual pressure reading of 756 mm of mercury, it reads 748 mm, and for an actual reading of 738 mm, it reads 734 mm.
a) What is the length L of the tube of this barometer?
b) For a reading of 745 mm of mercury, what is the actual atmospheric pressure?
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