A helium balloon is used to lift a load of 110 N. The weight of the balloon cover is 50 N and its volume when fully inflated is 32 m³. The temperature of the air is 0° C, and atmospheric pressure is 1 atm. The balloon is inflated with enough helium gas so that the net force on it and its load is 30 N. Neglecting changes in temperature with height. A. Find an expression for the density of an ideal gas.

A helium balloon is used to lift a load of 110 N. The weight of the balloon cover is 50 N and its volume when fully inflated is 32 m³. The temperature of the air is 0° C, and atmospheric pressure is 1 atm. The balloon is inflated with enough helium gas so that the net force on it and its load is 30 N. Neglecting changes in temperature with height. A. Find an expression for the density of an ideal gas.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter13: Temperature, Kinetic Theory, And The Gas Laws

Section: Chapter Questions

Problem 37PE: (a) What is me gauge pressure in a 25.0C car tire containing 3.60 mol of gas in a 30.0 L volume? (b)...

See similar textbooks

Similar questions

(a) What is me gauge pressure in a 25.0C car tire containing 3.60 mol of gas in a 30.0 L volume? (b) What will its gauge pressure be if you add 1.00 L of gas originally at atmospheric pressure and 25.0C ? Assume the temperature returns to 25.0C and me volume remains constant.
(a) Show that the density of an ideal gas occupying a volume V is given by = PM/KT, where M is the molar mass. (b) Determine the density of oxygen gas at atmospheric pressure and 20.0C.
(a) Given that air is 21% oxygen, find the minimum atmospheric pressure that gives a relatively safe partial pressure of oxygen of 0.16 atm. (b) What is the minimum pressure that gives a partial pressure of oxygen above the quickly fatal level of 0.06 atm? (c) The air pressure at the summit of Mount Everest (8848 m) is 0.334 atm. Why have a few people climbed it without oxygen, while some who have tried, even though they had trained at high elevation, had to tum back?
A person is in a closed room (a racquetball court) with v=453 m3 hitting a ball (m 42.0 g) around at random without any pauses. The average kinetic energy of the ball is 2.30 J. (a) What is the average value of vx2 ? Does it matter which direction you take to be x ? (b) Applying the methods of this chapter, find the average pressure on the walls? (c) Aside from the presence of only one "molecule" in this problem, what is the main assumption in Pressure, Temperature, and RMS Speed that does not apply here?
(a) In the deep space between galaxies, me density of atoms is as low as 106atoms/m3, and me temperature is a frigid 2.7 K. What is me pressure? (b) What volume (in m3) is occupied by 1 mol of gas? (c) If this volume is a cube, what is the length of its sides in kilometers?
Five bicyclists are riding at the following speeds: 5.4 m/s, 5.7 m/s, 5.8 m/s, 6.0 m/s, and 6.5 m/s. (a) What is their average speed? (b) What is their rms speed?
A cylinder contains a mixture of helium and argon gas in equilibrium at 150C. (a) What is the average kinetic energy for each type of gas molecule? (b) What is the rms speed of each type of molecule?
In the text, it was shown that N/V=2.681025m3 for gas at STP. (a) Show that this quantity is equivalent to N/V=2.681019cm3, as stated. (b) About how many atoms are mere in one m3 (a cubic micrometer) at STP? (c) What does your answer to part (b) imply about the separation of Mama and molecules?
Review. (a) Derive an expression for the buoyant force on a spherical balloon, submerged in water, as a function of the depth h below the surface, the volume Vi of the balloon at the surface, the pressure P0 at the surface, and the density w of the water. Assume the water temperature does not change with depth, (b) Does the bouyant force increase or decrease as the balloon is submerged? (c) At what depth is the buoyant force one-half the surface value?
Consider a large 7 kg bass swimming in freshwater. The bass has a volume of 7L. When neutrally buoyant 7% of the fish’s volume is taken up by the swim bladder. Assume a constant body temperature of 15 degrees Celsius. A. What is the volume of the swim bladder in m^3 when the Gus is neutrally buoyant? B. What is the water pressure at a depth of 25 m C. How many moles of air are in the swim bladder when the fish is neutrally buoyant at a depth of 25m?
What is the R.M.S. velocity of molecules or the gas at N.T.P. if density of this gas at N.T.P. is 0.165 kg/m?? What will be the R.M.S. velocity at 227°C [Given : 1 atmospheric pressure = 1.013 × 10 N/m².
A tire with an inner volume of 0.025 m^3 is filled with air at a gauge pressure of 36psi. If the tire valve is opened to the atmosphere, what volume outside of the tire does the escaping air occupy? Some air remains within the tire occupying the original volume, but now that remaining air is at atmospheric pressure. Assume the temperature of the air does not change. a. 0.086 m^3b. 0.096 m^3c. 0.868 m^3d. 0.673 m^3