For an ideal gas, whose temperature increases from T1 to T2, what would be its enthalpy change?
(a) Cv (T2-T1)
(b) Cv (T1-T2)
(c) Cp (T2-T1)
if the heat capacities stay constant during the temperature range
For an ideal gas, whose temperature increases from T1 to T2, what would be its enthalpy...
a. Given that the energy of an ideal gas is a function of temperature only, show how the conclusion can be reached that the enthalpy of an ideal gas is also only a function of temperature. b. Show that for an ideal gas Cp-Cv=R Hint: How much more heat is required to raise the temperature of the gas by 1K if the process is carried out at constant pressure rather than constant volume? Explain.
Calculate the change in entropy ΔS for 5.2 moles of an ideal gas when its thermodynamic state changes from p1 = 1.50 atm and T1 = 400.0 K to p2 = 3.00 atm and T2 = 600.0 K. The molar heat capacity of the gas at constant volume is CV,m = (7/2) R, and is independent of the temperature.
4. [After Reif Problem 5.1] When an ideal gas undergoes an adiabatic (thermally insu- lated) quasi-static expansion, its pressure and volume are related by p = constant. where γ = cp/cv is the ratio of heat capacities. If the gas expands from an initial volume Vi at temperature T to a final volume V2, calculate the final temperature T2 in terms of γ, Vi, Ti, and ½.
4. The enthalpy H may be written as a function of temperature T and pressure P. If we have a system whose composition remains constant and using Maxwell's equations and the total differential, we can write dH as avdP where Cp is the heat capacity at constant pressure and the subscript of P on the partial derivative represents the partial of volume with respect to temperature holding pressure connstant. Find the change in enthalpy (A) for an ideal gas undergoing...
A cylinder contains 9.8 moles of ideal gas, initially at a temperature of 119°C. The cylinder is provided with a frictionless piston, which maintains a constant pressure of 7.4 × 105 Pa on the gas. The gas is cooled until its temperature has decreased to 27°C. For the gas CV = 14.41 J/mol ∙ K, and the ideal gas constant R = 8.314 J/mol · K. (a) Find the work done by (or on) the gas during this process. Is...
The amount of heat needed to raise the temperature of 1 mole of a substance by one Celsius degree (or, equivalently, one kelvin) is called the molar heat capacity of the system, denoted by the letter C. If a small amount of heat dQ is put into n moles of a substance, and the resulting change in temperature for the system is dT, then C=1ndQdT. This is the definition of molar heat capacity--the amount of heat Q added per infinitesimal...
I. (30 pts.) One mole of an ideal gas with constant heat capacities and ? 5/3 is compressed adiabatically in a piston-cylinder device from T1-300 K, pi = 1 bar to p2 = 10 bar at a constant external pressure Pext"- P2 -10 bar. Calculate the final temperature, T2, and W, Q. AU, AH for this process. 2. (20 pts.) Repeat problem 1 for an adiabatic and reversible compression. 3. (20 pts.) A rigid, insulated tank is divided into two...
Physical Chemistry Calculate the change in entropy when one mole of metallic aluminum is heated at one bar pressure from an initial temperature of 25 °C to a final temperature of 750 °C. The molar heat capacities of solid and liquid aluminum at one bar pressure are 29.2 J mol K1 and 31.75 J mol K, respectively. The specific enthalpy of fusion of aluminum at its melting point (660.46 °C) is 396.57 J g1. The molar mass of aluminum is...
1. a 10 mol sample of ideal gas whose heat capacities are Cv= 20.8 J/K Mole and Cv = 29.1 J/K Mole a. Undergoes a reversible constant volume cooking from 49.3 L, 300 K, and 5.00 atm to 150 K. Calculate q, w, and ΔU. b. the same gas then underwent a reversible constant pressure expansion from 150 K and 2.50 atm to 98.6 L. Calculate q , w, and ΔU. You'll need the ideal gas law to calculate T-final...
3. (7pts.) A closed system contains one mole of an ideal gas with constant heat capacities and 5/3 at Ti 400 K. The gas undergoes a constant-pressure process during which it receives = 62355/ ofheat. Calculate the final temperature of the gas, T2, the work produced, w, and the entropy change, ΔS, for the process.