1) Show that for ideal gas: [dH= Cp dT] anddS= Cp dT/T-R dP1 Add file

Enthalpy, H is the name given to a grouping of thermodynamic parameters. The enthalpy per unit mass…

Answered: 1) Show that for ideal gas: [dH= Cp dT]…

Science

Chemistry

1) Show that for ideal gas: [dH= Cp dT] and dS= Cp dT/T-R dP

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter2: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 2.56E: What are the numerical values of the heat capacities c-v and c-p of a monatomic ideal gas,in units...

See similar textbooks

Related questions

Q: 2) The equation of state of a certain gas is given by p where a and b are constants. Find Vm 4),

A: The equation given is, => To find :

Q: A gas obeying the equation of state p(V − nb) = nRT is subjected to a Joule–Thomson expansion. Will…

A: The given equation of state is: Calculation of Volume from equation (1): Calculation of (dV/dT)P:…

Q: The relationship Cp - Cy = a?TV holds for any substance in the gaseous, liquid, or solid state. = ,…

Q: One mole of an ideal gas of 300K is expanded by an adiabatic process at a constant pressure of 102…

A: Solution is given below in next step

Q: For an ideal monatomic gas, the following is true. (Use the following as necessary: T, U, and V.) T

A: To answer step 4.

Q: What is the ArxnG° (in KJ/mole) for a mole of an ideal gas as pressure changes from 0.1 Pa to 1 x105…

A: Given, Number of moles of ideal gas = 1 mole Pressure changes from 0.1 Pa to 1 * 105 Pa Required,…

Q: You have an ideal gas with 1.8 moles. Initally this sample is 187 kPa and 423 K. Heat Capacity at…

A: Adiabatic process can be defined as the thermodynamic process in which there is no exchange of heat…

Q: 633 mmHg and 289 K Express your answer with the appropriate units. V= 0.65 atm and 77 ∘C Express…

Q: (a) 2 mole of an ideal monoatomic gas at 27°C expands reversibly and adiabatically from a volume of…

A: Given: Moles of gas = 2 Temperature = 27°C = 300 K Initial volume = 20 dm3 Final volume = 40 dm3 Cv…

Q: Calculate the final pressure of a sample of water vapour that expands reversibly and adiabatically…

A: Given data Initial pressure of water vapor, P1 = 87.3 Torr Initial volume of water vapor, V1 = 500…

Q: One mole (1.0 mol) of an ideal gas is initially at T1 = 298 K and has volume V1 = 2.0 L. It is then…

A: Hello. Since the question contains more than three sub-parts, the first three sub-parts shall be…

Q: RT a+bT 2) The equation of state of a certain gas is given by p = + where a andb are constants. Find…

A: To know the answer is correct or not, let's differentiate the equation first. The equation of…

Q: The density of an ideal gas can be written in terms of the variables p and T: Mp where M is the…

A: We see cyclic rule first for the given equation d = MP/RT For solving this problem you must have…

Q: 6E. A 2.25 mole sample of CO,(g), for which C,-37.1 J/K at 298 K, expands reversibly and…

A: Given: Moles of CO2 = 2.25 mol At 298 K, Cp,m = 37.1 J/K Initial volume = 4.50 L Final volume =…

Q: The molar constant-volume heat capacity of 79.9 g Ar gas was found to vary with temperature…

A: Given , Argon gas mass =79.9 g moles of Ar: =79.9 gmolar mass of Ar =79.9 g39.94 g/mol=2.00 mol…

Q: A sample consisting of 1.00 mol of perfect gas atoms, for which CV,m = 3/2R, initially at p1 = 1.00…

A: Given information: Moles of perfect gas = 1.00 mol Cv,m = 3/2R Initial pressure = 1.00 atm Initial…

Q: An ideal monatomic gas initially has a pressure of 2.00×10°Pa , a volume of 4.00m' and a temperature…

A: In Isobaric processes, pressure remiains constant.P1=2×105PaP1=P2T1=27∘C=300KV1=4m3V2=6m3Now…

Q: If the equation of state for a gas is described by the following equation: P.(V- b) =RT, where…

A: The equation of state for real gases is: dH =CPdT + V-T.∂V∂TPdPP (V-b) = RTV = RTP+b∂V∂T=RP

Q: As shown in the figure below, for a given change in volume expansion, the higher the temperature of…

A: for a given graph. volume expansion. higher the temperature of tha gas larger the exported work.…

Q: An automobile wheel contains air with a pressure of 3x105 Pa at 25 ° C. The sipop cover was removed…

A: Given data, Initial pressure(Pi)=3×105 Pa Initial temperature=25oC=298K External pressure (Pext or…

Q: Prove that the difference between (CP) and (CV) for real gases is given by the following…

Q: 3.80 mol of an ideal gas with Cy,m = 3R/2 undergoes an expansion from an initial state described by…

A: Cp = Cp stands for heat capacity at constant pressure. At constant pressure, when heat is supplied…

Q: 3.) 1.00 mol of N2 is adiabatically expanded from 10.00 L at 400 K to 20.00 L. Assume that Cv.m=…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Ammonia (considered to be ideal gas, 1 mole) initially at 25 degree C and 1 bar pressure is heated…

A: The expression of ideal gas equation is shown below: PV = nRT Where; P = pressure V = volume n =…

Q: Calculate ΔStotal (for the system) when the state of 0.8 mol diatomic perfect gas molecules, for…

A: Given-> Cp,m = 7/2R T1= 25°C = 25 + 273 = 298 K T2= 135°C = 135 + 273 = 408 K P1= 1.50 atm P2=…

Q: (1) The relationship between C P.m and C xm can also be given by the relationship: Срт — Сут ƏT (a)…

Q: The molecular weight of Carbone dioxide is CO, is 44 kg/ mol. In an experiment the value of y was…

Q: What is the final temeprautre of a monoatomic ideal gas that is compressed reversible and…

A: We know that for adiabatic reversible process : TV^v-1 = constant Or, T1V1^v-1 = T2V2^v-1 Or,…

Q: Which of the following partial derivatives is assumed to be zero for an ideal gas? dT V dU dP

Q: An ideal gas is taken from point a to point b along the diagonal path ab. Let Cab denote the "heat…

A: Here, in the process involves the change of pressure, volume and temperature.

Q: ate the final temperature of a sample of CO2 of mass 16.0 g that and adiabatically from 500 cm3 at…

A: Reversible process is process in which no heat exchange between system and surroundings. So, for…

Q: Calculate the final temperature of air of mass 3.0kg that is expanding reversibly and adiabatically…

A: Air is a mixture of gases. Considering the gases present in the air to be diatomic in nature, the…

Q: Investigate the dependence of pV on V for real gases.

A: In case of ideal gas product of pressure and volume in isothermal process remains constant as: for…

Q: Consider a particular gas. The isothermal compressibility and coefficient of thermal expansion are…

A: Given , Isothermal compressibility : κ=Vc1T (l) Coefficient of thermal expansion : α=1T+ c2c1V…

Q: (b) For the following equation of state, determine the Boyle temperature in terms of constants: PVm…

A: Soln Boyle's temperature is temperature at which the any real gas follows the Boyle's law i.e it…

Q: 4. Suppose you have 5 moles of helium gas (ideal, monatomic), which expands under constant pressure.…

Q: P5.2 1.75 moles of an ideal gas with Cy.m formed from an initial state at T = 725 K and P = 1.50 bar…

A: The given process is an example of isvolumetric (isochoric) process where the volume is contant…

Q: What is the ∆rxnG° (in KJ/mole) for a mole of an ideal gas as pressure changes from 0.1 Pa to 1×10^5…

A: Del G is the Gibbs free energy of the reaction .it is at constant T and in standard condition so we…

Q: 2.3 A sample consisting of 2.0 mol CO, occupies a fixed volume of 15.0 dm³ at 300 K. When it is…

A: A sample consisting of 2.0 mol CO₂ occupies a fixed volume of 15.0 dm³ at 300 K. When it is supplied…

Q: One kg of air occupies 0.048 m at 12.5 bar and 537 C° it is expanded at constant temperature to a…

A: Ideal gas equation is given by, PV=nRT where P is the pressure, V is the volume and T is the…

Q: a) Show that), (KrP – BT)V KT = Isothermal compressibility B = volume expansivity

A: dU = TdS - PdVDifferentiaite both sides with respect to P at constant TSo, ∂U∂PT = T∂S∂PT - P∂V∂PT…

Q: A 1.3-mol sample of ideal gas at 23.0°C is allowed to expand reversibly and adiabatically from 400…

Q: Define fugacity and calculate its value at 1.0 bar for a gas obeying the following equation: P(Vm-…

Q: Calculate the final pressure of a sample of carbon dioxide that expands reversibly and adiabatically…

A: Given that: Initial pressure (P1) = 67.4 kPa Initial volume (V1) = 0.50 dm3 Final volume (V2) = 2.00…

Q: One mole of a monatomic ideal gas goes through the cycle indicated in the figure according to stages…

A: The plot in the graph where the volume is not changed is called an isochoric process. The plot where…

Q: What are the following partial derivatives for an ideal gas when P, V, n, and T are variables? a)…

A: The ideal law states that pressure , temperature and volume are related to each other , that with…

Q: For a van der Waals gas: a Calculate AUm (in / mol-) for the isothermal reversible expansion of N2…

Q: Show that for a gas satisfying the Van der Waals equation a (P+) (v* – 6) = RT, where v * represents…

A: Van der Waals equation relates the pressure, volume (molar volume), temperature, number of moles and…

Question

1) Show that for ideal gas: [dH= Cp dT] and
dS= Cp dT/T-R dP
1 Add file

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

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, chemistry and related others by exploring similar questions and additional content below.

Similar questions

Use the two appropriate values of R to determine a conversion between L. atm and J.
Show that = T/p for an ideal gas.
Under what conditions will U be exactly zero for a process whose initial conditions are not thesame as its final conditions?
The following are values of heat capacity for nitrogen gas; Temp K Cv J/mol. K 300 20.8 400 20.9 500 21.2 600 21.8 700 22.4 800 23.1 900 23.7 1000 24.3 1100 24.9 Using the general formula Cv = A BT C/T2, find values of A, B, and C that fit the given data.
Why is equation2.37 written interms of CV and Cp and not c-v and c-p ?
at if Hess’s law were not true? What are some possible repercussions this would have?
What are the numerical values of the heat capacities c-v and c-p of a monatomic ideal gas,in units of cal/mol.K and L.atm/mol.K?
What is the finaltemperature of0.122 mole ofmonatomic ideal gas that performs 75J of work adiabatically if the initial temperature is 235C?
The Dieterici equation of state for one mole of gas is p=RTe-aVRTV-b Where a and b are constants determined experimentally. For NH3g, a = 10.91 atm. L2 and b = 0.0401 L. Plot the pressure of the gas as the volume of 1.00 mol of NH3g expands from 22.4 L to 50.0 L at 273 K, and numerically determine the work done by the gas by measuring the area under the curve.
Determine an expression for V/T p, n in terms of and . Does the sign on the expression make sense in terms of what you know happens to volume as temperature changes?
If the heat capacity varies withtemperature, abetter form ofequation 2.9 isto solve q=TiTfnCT-t A 50.0-g sample of white phosphorus is heated from 298 K to 350K. If its molar heat capacity is CT- = 56.990.1202T J/mol.K, how much heat is needed?
A 220-ft3 sample of gas at standard temperature and pressure is compressed into a cylinder, where it exerts pressure of 2000 psi. Calculate the work (in J) performed when this gas expands isothermally against an opposing pressure of 1.0 atm. (The amount of work that can be done is equivalent to the destructive force of about 1/4 lb of dynamite, giving you an idea of how potentially destructive compressed gas cylinders can be if improperly handled!)