The pressure P and volume V of an expanding gas are related by the formula PV = C, where b and C are constants (this holds in adiabatic expansion, without heat gain or loss). Find if b = 1.7, P = 14kPa, V = 50cm², and 70cm³/min. dP %3D kPa/min dt

The pressure P and volume V of an expanding gas are related by the formula PV = C, where b and C are constants (this holds in adiabatic expansion, without heat gain or loss). Find if b = 1.7, P = 14kPa, V = 50cm², and 70cm³/min. dP %3D kPa/min dt

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 25P: A company advertises that it delivers helium at a gauge pressure of 1.72107 Pa in a cylinder of...

See similar textbooks

Related questions

Q: 1.00 moles of an ideal monatomic gas (such as He) initially at a temperature of 298 K and a pressure…

Q: In the figure, 2.99 mole of an ideal diatomic gas can go from a to c along either the direct…

A: a) We know that the internal energy change for the ideal gas is=nCV∆T We know, CV=5R2 for diatomic…

Q: an ideal monatomic gas cools from 550 k to 400 k at contant volume as 900 J of energy is removed…

Q: A sample of ideal monatomic gas is cooled by 50.0 C° at constant volume by removing 831 J of energy…

Q: When gas expands adiabatically (without gaining or losing heat) in a gasoline engine, the pressure…

A: Given PV7/5 = 6.31 Where P is pressure in pascal And V is volume in m3

Q: Air inside a chamber is heated from an initial volume and pressure of 1.2 ft3 and 1550 psia (Ib per…

A: The initial pressure is P1=1550 psia The initial volume is V1=1.2 ft3 The final volume is V2=8.3 ft3…

Q: An ideal monatomic gas, consisting of 2.8 mol of volume 8.8x10-2 m , expands adiabatically. The…

A: initial volume, V = 8.8 x 10-2 m3 initial temperature, T = 20 degree C = 293 K final temperature, T'…

Q: The molar heat capacity for an ideal gas can Options O Be negative Be equal to either Cy or Cp Lie…

A: The molar specific heat (cm) of a substance is defined as the amount of heat required to raise the…

Q: The temperature of 100.0 g of CO2 gas was increased from 300 K to 380 K under isochoric conditions.…

A: Isochoric process →occurs at constant volume Given Mass, m=100g Initial temperature, T1=300K Final…

Q: What is the internal energy of 5.8 mol of an ideal monoatomic gas at 214 K.?

Q: p/ 10° Pa 7.2 2.0+- Y V/m3 3.2 1.5 FIGURE 1 A monatomic gas expands adiabatically from the state X…

A: Given: The intial pressure is 7.2x105 Pa. The final pressure is 2x105 Pa. The initial volume is 1.5…

Q: The molar heat capacity at constant pressure of carbon dioxide is 29.14 J/K.mol. (a) What is the…

Q: 5.00 moles of Argon, a monatomic ideal gas, occupies a volume of 15.0 L at a pressure equal to 1.4 x…

Q: A sample of nitrogen gas undergoes an adiabatic expansion. The initial pressure and volume of the…

Q: When air expands adiabatically (without gaining or losing heat), its pressure Pand volume V are…

A: Given Volume V = 540 cm3 = 540 m3 Pressure P = 91 kPa = 91 x 103 Pa Pressure changing rate dP/dt =…

Q: An ideal monatomic gas contracts in an isobaric process from 1.25 m3 to 0.500 m3 at a constant…

A: Since you have uploaded a question with multiple sub-parts, we will solve first three sub-parts (a),…

Q: A 5.00-mol sample of oxygen gas is confined to a pressure of 5 atm at a temperature of 27 degrees…

A: Given data *The number of moles of oxygen gas is n = 5.00 mol *The given initial temperature is T =…

Q: The pressure P and volume V of an expanding gas are related by the formula PV^b=C , where b and C…

Q: 50 moles of an ideal gas initially has a volume of 0.8 m³, a pressure of 160 kPa, and a temperature…

A: (a) V=AP+B∴P=1A(V-B)Universal gas law states…

Q: A certain molecule has f degrees of freedom. Show that an ideal gas consisting of such molecules has…

A: Let us consider the molecule has f degrees of freedom, then according to the equipartition energy…

Q: he constant volume heat capacity of an ideal monatomic gas is 3R/2, but the constant volume heat…

A: mono-atomic gas molecule gas has one atom. Each molecule has 3 degree of freedom due to translatory…

Q: The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv,…

Q: A monatomic ideal gas undergoes an isothermal expansion at 300 K, as the volume increased from 0.020…

Q: An ideal monatomic gas cools from 455.0 K to 405.0 K at constant volume as 831 J of energy is…

A: The internal energy of a thermodynamic is the energy contained within it. It is the energy essential…

Q: As a 1.00 mol sample of a monoatomic ideal gas expands adiabatically, the work done by the gas is 50…

A: As per sign convention work done by gas is taken positive and work done on the gas is taken…

Q: An ideal monatomic gas expands isothermally from 0.500 m³ to 1.25 m³ at a constant tempera- ture of…

Q: Q/ Calculate the Vanderval temperature of a gas with a value of a = 1.35 dmemol 7atm b = 0.0322 dm *…

A: Given, Pressure(P) = 1 atm n = no. of moles = 2 moles R = gas constant = 0.0821 atm.dm3/mole a=…

Q: What is the internal energy of 4 mol of an ideal monatomic gas at 200 K?

A: Given: Mole (n) = 4 Temperature (T) = 200 K CV for mono atomic gas = 3/2 Gas constant (R) =8.314…

Q: An ideal gas has been subjected transformations AB and BC (see pic/link) Find the change in the…

Q: V V2 ATWWW味N

Q: A 3-mole of a monatomic ideal gas undergoes an isothermal expansion at 450 K, as the volume…

A: Given Data: The number of moles is, n=3 moles The temperature is, T=450 K The initial volume is,…

Q: What is the internal energy of 1.0 mol of an ideal monatomic gas at 273 K?

A: The equation for the internal energy of an ideal monoatomic gas is given by,

Q: The temperature of 3.00 mol of a gas with CV = 6.00 cal/mol K is to be raised 50.0 K. If the…

Q: The temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K in an adiabatic process.What…

A: a) In a constant volume process the work done by the gas will be zero.

Q: Graph 3 shows PV diagram of two moles of an ideal gas undergo thermodynamic processes from its…

A: Ideal gas equation is given by- PV=nRT Work done in an isothermal process is given by-W=nRT ln(V2V1)

Q: An ideal gas, initially at a pressure

Q: A 3.65-mol sample of an ideal diatomic gas expands adiabatically from a volume of 0.1210 m3 to 0.750…

Q: A gas is to be expanded from initial state i to final state falong either path 1 or path 2 on a p-V…

A: In isothermal processes the change in internal energy is zero. In adiabatic expansion the heat Q is…

Q: Suppose 4.00 mol of an ideal diatomic gas, with molecular rotation but not oscillation, experienced…

Q: Assignment 1 thermodynamic R= 8.315 J/mol, NA= 6.02x 1023 mol", Kg= 1.38x 1023 J/K, 1atm= 1.01x 10°…

A: We use the ideal gas law to find the various parameters of a gas at certain conditions. The ideal…

Q: Suppose an ideal diatomic gas expands adiabatically from an initial volume of 0.500 m3 to a final…

A: is a process in which heat and mass aren't exchange with the surrounding.

Q: An ideal gas has a pressure of 0.50 atm and a volume of 10 L. It is compressed adiabatically and…

A: Given: Pressure initial Pi = 5 × 105 Pa Pressure final Pf = 3 × 105 Pa Volume initial Vi = 10 × 10-3…

Q: 1. In a quasi-static isobaric expansion, 550 J of work are done by the gas. If the gas pressure is…

Concept explainers

First law of Thermodynamics

The word thermodynamics consists of two words: thermo- and dynamics. Dynamics means the study of motion. The field of thermodynamics is all about the study of the movement of heat. In a more meaningful way, it is stated as the study of the transfer of energy. Energy transfer is something that we encounter in day-to-day life. Automobiles, chemical reactions, refrigerators, and power generators work on the basis of thermodynamic principles.

Question

The pressure P and volume V of an expanding gas are related by the formula
PV = C, where b and C are constants (this holds in adiabatic expansion, without
heat gain or loss).
Find
dP if b = 1.7, P = 14kPa, V = 50cm², and = 70cm³/min.
dt
dP
kPa/min
dt

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A company advertises that it delivers helium at a gauge pressure of 1.72107 Pa in a cylinder of volume 43.8 L. How many balloons can be inflated to a volume of 4.00 L with that amount of helium? Assume the pressure inside the balloons is 1.72105 Pa and the temperature in the cylinder and the balloons is 25.0 .
One of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?
An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature?
(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.
When we use the ideal gas law, the temperature must be in which of the following units? (5.6) (a) C (b) F (c) K
Suppose 26.0 g of neon gas are stored in a tank at a temperature of 152C. (a) What is the temperature of the gas on the Kelvin scale? (See Section 10.2.) (b) How many moles of gas are in the tank? (See Section 10.4.) (c) What is the internal energy of the gas? (See Section 10.5.)
On a hot summer day, the density of air at atmospheric pressure at 35.0C is 1.1455 kg/m3. a. What is the number of moles contained in 1.00 m3 of an ideal gas at this temperature and pressure? b. Avogadros number of air molecules has a mass of 2.85 102 kg. What is the mass of 1.00 m3 of air? c. Does the value calculated in part (b) agree with the stated density of air at this temperature?
A mole of gas has isobaric expansion coefficient dV/dT=R/p and isochoric pressure-temperature coefficient dp/dT=p/T . Find the equation of state of the gas.
Using the approximation v1v1+v f(v)dvf(v1)v for small v , estimate the fraction of nitrogen molecules at a temperature of 3.00102 K that have speeds between 290 m/s and 291 m/s.
Assuming the human body is primarily made of water, estimate the number of molecules in it. (Note that water has a molecular mass of 18 g/mol and there are roughly 1024 atoms in a mole)
For an ideal gas in constant volume if you double the temperature ( T2= 2 T1), what is the new pressure ( P2=?)
What would be the volume of 3.90 moles of an ideal gas, at STP? What is the pressure of this gas, if the temperature was increased from 0 degC to 56.9 degC as it stays in a constant volume container?