According to the Ideal Gas Law, PV = kT, where P is pressure, V is volume, T is temperature (in kelvins), and k is a constant of proportionality. A tank contains 400 cubic inches of nitrogen at a pressure of 130 pounds per square inch and a temperature of 300 K. (a) Determine k. k = (b) Write P as a function of V and T and describe the level curves. P = (c) Setting P = c, the level curves are of the form

According to the Ideal Gas Law, PV = kT, where P is pressure, V is volume, T is temperature (in kelvins), and k is a constant of proportionality. A tank contains 400 cubic inches of nitrogen at a pressure of 130 pounds per square inch and a temperature of 300 K. (a) Determine k. k = (b) Write P as a function of V and T and describe the level curves. P = (c) Setting P = c, the level curves are of the form

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 29P: How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of...

See similar textbooks

Similar questions

The average life expectancy in Japan is 81 years. What is this time in SI units?
How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of 8 000 m? Take He = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression air = 0ez/8, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.
According to the Ideal Gas Law, PV = KT, where P is pressure, V is volume, T is temperature (in kelvins), and k is a constant of proportionality. A tank contains 1300 cubic inches of nitrogen at a pressure of 40 pounds per square inch and a temperature of 300 K. (a) Determine k. k = (b) Write P as a function of V and T and describe the level curves. P = Setting P = c, the level curves are of the form V =
The ideal gas law describes the state of a hypothetical ideal gas, i.e., PV = nRT where P is the pressure in Pascal, V is the volume in liters L, R is the ideal gas constant, T is the temperature in kelvin K, and n is the amount of substance. Suppose a researcher has n = 0.654 moles of neon gas. He observed that T and V are increasing at rates of 3 K/min and 2 L/min, respectively, using the fixed gas constant R= 8.31 J/K.mol, find the rate at which the pressure is changing when V = 12.3 L and T = 447K.
According to the Ideal Gas Law, PV = kT, where P is pressure, Vis volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 2000 cubic inches of nitrogen at a pressure of 26 pounds per square inch and a temperature of 600 K. Determine the EXACT value of k.
The equation for the ideal gas is (P – a/V2) (V-b) = K. Here P is the pressure, V is the volume of the gas. If a and b are constants, what is the the units of a/b.
Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 25° Celsius. They also find that the temperature decreases by 3° Celsius for each kilometer you go up from the surface. Let T represent the temperature (in Celsius), and let H be the height above the surface (in kilometers). Write an equation relating T to H, and then graph your equation using the axes below. * T axis (y) goes up to 30 (counting by 5's) * H axis(x) goes up to 8 (counting by 1's) **Be sure to write out the points too
Ideal gases are often studied at standard ambient temperature and pressure (SATP). The International Union of Pure and Applied Chemistry (IUPAC) defines SATP to be T = 25° C and P = 100 kPa. a. Calculate N/V (in particles per cubic meter) for an ideal gas at SATP b. How many atoms of an ideal gas at SATP are there in one cubic centimeter?
The volume of an automobile tire is 2.5x10^-2m^3. The pressure of the air in the tire is 3.3 atm and the temperature is 25C°. What is the mass of air in grams? The mean molecular mass of air is 29g. Calculate to 2 decimals.
The density of bubble gum is about 1g/cm3. You blow an 8g wad of gum into a bubble 9cm in diameter. What is the thickness of the bubble? Use the equation: 4πr2 to help solve the problem.
One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?
A hollow spherical container has an outer diameter of 10.50 cm. The thickness of the walls is 0.50 cm. The container is filled with water. Water molecules are approximated to be spheres with a diameter of 275 pm. How many water molecules are present inside of the container? Your answer needs to have the correct number of significant figures.