When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^1.4=C where C is a constant. Suppose that at a certain instant the volume is 450 cubic centimeters and the pressure is 93 kPa and is decreasing at a rate of 14 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?

When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^1.4=C where C is a constant. Suppose that at a certain instant the volume is 450 cubic centimeters and the pressure is 93 kPa and is decreasing at a rate of 14 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?

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

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.
When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^1.4=C where C is a constant. Suppose that at a certain instant the volume is 440 cubic centimeters and the pressure is 99 kPa and is decreasing at a rate of 7 kPa/minute. 1). At what rate in cubic centimeters per minute is the volume increasing at this instant? (Pa stands for Pascal-- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 100 Pascals)
The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 7.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time (in K/min) at that instant if n = 10 mol.(Round your answer to four decimal places.)
A window has dimensions of 1.6 m by 2.85 m and is made of glass 7.25 mm thick. On a winter day, the outside temperature is 24° C while the inside temperature is a comfortable at 19.5° C. (k of glass =0.195W/m.K) (1.5+1.5+2 = 5marks)Calculate the following:a) the area of the window in square metres Answer for part 1 .b) the temperature gradient (ΔT/Δx)in kelvin/metre Answer for part 2 .c) the rate of heat lost through the window by conduction in watts Answer for part 3 .
An engineer who is working on the heat transfer analysis of a house in English units needs the convection heat transfer coefficient on the outer surface of the house. But the only value he can find from his handbooks is 22 W/m2·K, which is in SI units. The engineer does not have a direct conversion factor between the two unit systems for the convection heat transfer coefficient. Using the conversion factors between W and Btu/h, m and ft, and °C and °F, express the given convection heat transfer coefficient in Btu/h·ft2·°F.
2.80 mol of an ideal gas fills a spherical balloon with volume 2 065 cm3 and a temperature 296 K. The balloon undergoes an isothermal expansion such that the diameter changes by a factor 3. What is the new pressure of the gas?
When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV to the power of 1.4 = C where C is a constant. Suppose that at a certain instant the volume is 480 cubic centimeters and the pressure is 75 kPa and is decreasing at a rate of 10 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? Please Write legible
Consider an ideal gas with an absolute temperature of ?1.T1. To what temperature would the gas need to be heated to double its pressure? Express the answer in terms of ?1.T1. ?2= Consider an ideal gas with a volume of ?1.V1. To what volume would the gas need to be compressed to double its pressure? Express the answer in terms of ?1.V1. ?2=V2=
The volume of an ideal gas enclosed in a thin, elastic membrane in a room at sea level where the air temperature is 19°C is 9 ✕ 10−3 m3. If the temperature of the room is increased by 13°C, what is the new volume of the gas (in m3)? ____________m3
The equation for calculating the work performed when a piston in a cylinder expands against a constant pressure is w = −P ∙ΔV, where ΔV is the change in volume inside the cylinder. How much work is performed (in joules) when a piston pushes against a constant pressure of 1.21 atm, resulting in a volume change of 2.56 mL? (Hint: First determine the units that must be used for each term in the equation.)(101,325 Pa = 1 atm)
f the density of air is 1.25 × 10-3 g/cc, what is the mass in kilograms of the air in a room that is 5.3 m long, 4.2 m wide, and 2.0 m high?
Two containers of equal volume each hold samples of the same ideal gas. Container A has twice as many molecules as container B. If the gas pressure is the same in the two containers, the correct statement regarding the absolute temperatures TA and TB in containers A and B, respectively, is TA = TB TA = 2TB TA=TB/2 TA=TB/ Square root of 2 TA=TB/4