Ideal gas Definition and 856 Threads

How to calculate heat transfer to an ideal gas during isochoric process? I only know initial and final pressures and volume. (Do I have to know whole cycle (closed loop)?) Here, no work is done so: dU = dQ n*c*dT=dQ But T and its change is unknown, so what would be the next step?

Homework Statement Find the pressure and temperature when given the following data on helium gas: Volume (V) = 0.10 m^3 ** Helium mass (m) = 4.0 amu ** Number of atoms (N) = 3.0 x 10^24 Assuming PV = 1 then P=1/V then Pressure = 1.0 / 0.10m^3 = 10Pa Homework Equations PV = NkT...

Homework Statement Calculate the work done in an adiabatic process where P1 = 1.2 atm, V1 = 0.2 m^3, P2 = 2.4 atm and V2 = 0.117 m^3 Homework Equations W=-nCvΔT PV=nRT The Attempt at a Solution I tried to group the work formula as follows: W=-(nΔT)Cv and then tried to rewrite...

Homework Statement Suppose a monatomic ideal gas is changed from state A to state D by one of the processes shown on the PV diagram. (Let V1 = 4.80 L and P1 = 3.30 atm.) (a) Find the total work done on the gas if it follows the constant pressure path A−E followed by the constant...

Homework Statement An oxygen cylinder for medical use contains oxygen at a pressure of 140 atm, at room temperature (20\circC). The cylinder measures 20 cm in diameter and 110 cm in length. How many kilograms of oxygen does this cylinder contain? What will be the volume of the oxygen if it...

Homework Statement A fixed mass of oxygen (O2, molecular mass = 32 g/mol) is contained in a cylinder whose volume is 2.80 liters. The pressure is 148 atm when the temperature is 23oC. Find the mass of oxygen in the cylinder. a. 20 g b. 80 g c. 140 g d. 280 g e. 546 g Homework...

Homework Statement What is the volume of one mole of ideal gas at 300 K and at standard atmospheric pressure? a. 23.2 L b. 24.1 L c. 24.6 L d. 25.7 L Homework Equations PV=nRT The Attempt at a Solution 1atm*V=1mole*8.314*300K V=2494 L which is not in the options :s...

Hey guys, I'm working on calculating the enthalpy, entropy and internal energy of substances. treating them as an ideal gas. I wonder if I could be pointed in the right direction with some calculations. Enthalpy change: h2-h1=∫cp dT+ ∫[v-T(∂v/∂T)P]dP At ideal gas the pressure integral...

http://pages.towson.edu/ladon/gases.html "Elastic" means that the energy of the particle before collision equals to the energy of the particle after collision. How is this related to the presence or absence of intermolecular forces and How is this related to kinetic energy? Does the...

This is the equation I'm talking about: PV = nRT So say I had a bit of Ideal Gas in a completely insulated elastic balloon, and I raised a temperature just a little bit. PV = nR(2T) Because this is an elastic balloon, would the volume also double? P(2V) = nR(2T) But what if the...

Homework Statement A sample of a diatomic ideal gas has pressure P and volume V. When the gas is warmed, it's pressure triples and the it's volume doubles. This warming process includes two steps, the first at constant pressure and the second at constant volume. Determine the energy...

Homework Statement A wine-dispensing system uses argon canisters to pressurize and preserve wine in a bottle. An argon canister for the system has a volume of 55.0 mL and contains 26.0 g of argon. Assuming ideal gas behavior, what is the pressure in the canister at 295 K? When the argon is...

Homework Statement Estimate ΔG for the process where one mol of ideal gas is subjected to an increase in pressure from 1.00 atm to 11.0 atm at 25.0°C. Homework Equations ΔG=ΔH-TΔS ΔH=C(p,m)(Tf-Ti The Attempt at a Solution Seems straight forward, but it seems i am not given...

Homework Statement 0.21 x 10-3 kmol of ideal gas occupy a volume of 5.0 x 10-3 m3 initially at a pressure of 1.2 x 105 Pa and temperature T. The volume of the gas is first decreased to 2.0 x10-3 m3 at a constant pressure of 1.2 x 105 Pa, and then the pressure is increased to 3.0 x105 Pa...

Homework Statement An ideal gas, and a block of copper, have equal volume of 0.5m^3 at 300K and atmospheric pressure. The pressure on both is increased reversibly and isothermally to 5atm. Find the work done of each if the compressibility of copper is 0.7X10^-6 atm-1 the atmospheric...

Homework Statement I know how to derive the density of states for an ideal gas by using the energy equation: E_n = A*n^2, where A = (h_bar^2*pi^2)/(2mL^2) but what about for a 'photon gas'? Do I use the same energy equation as above, or the following: E_n = (h_bar*pi*c/L)*n...

this may be a stupid question but i have to ask as my book doesn't specifically say, it'll help me figure out a problem in my homework. So, here it goes... When an ideal gas expands or is compressed, does the number of moles change or does it remain the same? if it remains the same, does that...

Homework Statement Given an imaginary ideal-gas cycle. Assuming constant heat capacities, show that the thermal efficiency is η = 1 - γ[((V1/V2)-1)/((P3/P2)-1)] Since i can't show you the cycle we are shown that l Qh l = which is absolute value of the heat at high temperature =...

Homework Statement A tank with a fixed volume of 0.0800 m3 is filled with an ideal gas at a pressure of 4.00 atmospheres and a temperature of 48.0° C. Due to a small leak, some of the gas leaks out. Later it is found that the pressure in the tank is 3.20 atmospheres when the temperature is...

Homework Statement A horizontal, insulated cylinder contains a frictionless non conducting piston. On each side of the piston is 54L of and inert monatomic ideal gas at 1 atm and 273K. Heat is slowly applied to the gas on the left side until the piston has compressed the gas on the right to...

Homework Statement Show that the heat transferred during an infinitesimal quasi static process of an ideal gas can be written as dQ = (Cv/nR)(VdP) + (Cp/nR)(PdV) where dQ = change in heat Cv= heat capacity while volume is constant n= number of moles of gas R= ideal gas constant Cp=...

Homework Statement Prove that the work done by an ideal gas with constant heat capacities during a quasi-static adiabatic expansion is equal to W= (PfVf)/(Y-1)[1 - (Pi/Pf)^((Y-1)/Y)] where Y = gamma, which is heat capacity at constant pressure over heat capacity at constant volume...

Homework Statement Given the temperature of an ideal gas in a tub where it varies linearly from (x=0) to (x=L) T = To + [(TL - To)/L]x where To is temperature at 0 length and TL is the temperature at the end of the tube We are suppose to show that the equation of state for this...

Homework Statement This is a problem form my calculus book, which states: According to the ideal gas law, the pressure, temperature, and volume of a confined gas are related by P=kT/V, where K is a constant. Use differentials to approximate the percentage change in pressure if the temperature...

What volume does 1 mole of gas occupy at 1 atm pressure and 273.15K? PV = nRT so V =nRT/P V = (1)(8.314)(273.15)/1 Im getting 2270.96, the answer is ment to be 22.4L, what am i doing wrong? P= 1 V= ? n= 1 R= 8314 T= 273.15K

Homework Statement Use partial differential calculus to show that if 3 quantities p, V, T are related to each other by some unknown but smooth (which means all derivatives are well defined) equation of state f (P, V, T ) = 0. Then the partial derivatives must satisfy the relation∂p/∂T = - (∂V...

Hello, I'm trying to find the coefficients for the ideal gas specific heat at constant pressure in the form: Cp = a + bT + cT^2 + dT^3 (kJ/kmol.K) I need to find these coefficients for Octane. I have found them online in a slightly different form.. Cp = a + bT + cT^2 + dT^3 + eT^4...

Homework Statement We have an ideal gas consisted of N classical particles, each having mass m. The system is inside a spherical bottle of radius R and is inside the gravitational field of the earth. The system is also in thermal equilibrium with a heat reservoir which has temperature T. I...

Air at 1175 K, 8 bar enters a turbine operating at steady state and expands adiabatically to 1 bar. The isentropic turbine efficiency is 92%. Employing the ideal gas model with k=1.4 for the air, determine (a) the work developed by the turbine, in kJ per kg of air flowing, and (b) the...

Homework Statement Calculate the final pressure of the closed tank containing vaper if it is filled with a water.If the water mass is 400,000 kg is injected into the tank, initial tank pressure is 1bar and the volume is 80,000m^3, density of the vapor 1 kg/m^3 at 1 bar, treat the air and water...

Please Help! Thermodynamics, the ideal gas equation and temperature change Hi all! :smile: I'm new here! I hope my question gets answered because I'm really confused. Homework Statement An amount of 0.18 mol of an ideal gas is held in an insulated cylinder fitted with a piston...

Homework Statement Determine the speed of sound in argon gas at 30 degrees celcius. Argon is a monoatomic gas with atomic mass 40. Assume adiabatic and ideal gas conditions. The mass of a nucleuon is 1.67*10-27 kg=mp. Homework Equations Adiabatic constraint: pVγ=constant. Ideal gas...

Homework Statement An ideal gas undergoes a reversible process 1-2-3-4-5. The stage from 1-2 as well as isobaric 2-3 and isochoric 4-5 stages are represented by linear segments. The Stage 2-3 is isothermal. The following relations are true: V_2=2*V_1 p_2=1.5*p_1 V_3=4*V_1 V_4=6*V_1...

Homework Statement A student performs an experiment on an ideal gas by adding 42.0 J of heat to it. As a result the student finds that the volume of the gas changes from 50 cm3 to 150 cm3 while the pressure remains constant at 101.3 kPa. i) If the quantity of the gas present is 0.007...

Homework Statement A student performs an experiment on an ideal gas by adding 5.000 J of heat to it. As a result the student finds that the pressure of the gas changes from 101.3 kPa to 150.0 kPa while the volume remains constant at 50.00 cm3 (i) By how much did the internal energy of...

Homework Statement Sealed container which is used to heat 200 kg water is initially at 25 degrees C. Since the container is sealed, the water remains in saturated state while its temperature and pressure increases. The remaining volume of the container is filled with water vapor at the same...

Homework Statement A 500 m^3 tank is filled with saturated liquid-vapor mixture of water at 200 kPa. If 20% percent of mass is liquid and 80 percent of the mass is vapor, the total mass in the tank is? Homework Equations pV=mRT The Attempt at a Solution Don't have a clue... sorry

Homework Statement A rigid tank contains 5 kg of an ideal gas at 4 atm and T=40 deg C. Now, a valve is opened and half of the mass of the gas is allowed to escape. If the final pressure in the tank is 1.5 atm, the final temperature in the tank is? Homework Equations pV=mRT The...

Homework Statement 0.020 mol of a diatomic gas, with initial temp. of 20 C, are compressed from 1500 cm^3 to 500 cm^3 in a process in which pV^2=const. a.) What is the final temp. in C? b.) how much heat is added during this process? Homework Equations PV=nRT The Attempt at a...

for the adiabatic expansion of a gas, why is the temperature drop smaller for a real gas , vs a bigger drop for an ideal gas even though the change in internal energy is greater for a real gas , vs a smaller change for an ideal gas assuming starting temperature, and volume change are the...

Homework Statement There is a Pressure-Volume diagram of an ideal gas. The processes make up a (rough) triangle. At constant pressure, we have point A to point C to the right of it to point D to the right of C. Then above A we have point B. C goes to B and D goes to B.. thus forming something...

Homework Statement Note: I know the wording of this post may be lengthy but the problem shouldn't take too long in theory and it's a basic problem from an introductory thermodynamics class so I desperately wish to understand this beginning part so I don't fall behind, so I'd REALLY appreciate...

if a gas expands isothermally but irreversibly from V=1litres to V=2litres under constant external 1atm pressure, if i want to know the workdone by the gas, should i be using 1) WD = integral pdV = nRT ln V or 2) WD = pexternal(Vfinal-Vinitial) i realize they give different...

A Newtonian fluid is a continuous medium with viscosity and can "stick to itself". An ideal gas is a collection of non interacting point particles. Obviously at equilibrium, air can be treated as an ideal gas, while dynamically it is treated as a Newtonian fluid. But it cannot be both (since...

Homework Statement Each square meter of an actively growing forsest fixes on average each year 1 kg of carbon from the atmosphere into plant matter through photosynthesis. The atmosphere is approximately 20% O2 and 80% N2, but contains 0.046% CO2 by weight. a.) What volume of air at 25oC...

[SOLVED] Ideal gas unit conversions Homework Statement The ideal gas constants used in this text are typically mass-based: kJ / (kg*K). It is more useful to have them in units of kJ / (kmol*K). How to convert them using data from this text? Homework Equations The Attempt at a...

Homework Statement 4. An inventor would like to patent a thermodynamic device and is making the following claims: The device can accept a stream of gas and split it into a hot and cold jet of the same gas. This device is said to contain no moving parts, consumables, or power supply...

Homework Statement Simple question, does air behave like an ideal gas. I have researched online and flipped through 3 textbooks but cannot find a simple explanation. Homework Equations noneThe Attempt at a Solution The closest answer i came up with is air is made up of molecules that behave...

Homework Statement An ideal gas in a cylinder occupies a volume of 0.065 m3 at room temperature (T = 293 K). The gas is confined by a piston with a weight of 100 N and an area of 0.65 m2. The pressure above the piston is equal to one atmosphere (atm = 1.013x10^5 Pa). The piston is free to move...

The ideal gas law staes that pressure is inversely proportional to volume. Makes sense but I am confused by what happens in a venturi tube, where volume seems to decrease at the same time that pressure decreases also. I understand that dynamic pressure increases in the throat but what am I...