a. Given that the energy of an ideal gas is a function of temperature only, show...
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.
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a. Given that the energy of an ideal gas is a function of
temperature only, show...
[2 ideal gas, thermodynamics process] A cylinder closed at both ends equipped with insulating (adiabatic) walls, and is...
[2 ideal gas, thermodynamics process] A cylinder closed at both ends equipped with insulating (adiabatic) walls, and is divided into two parts with a frictionless, insulating, movable piston. The gases on both sides are initially at equilibrium with identical pressure, volume, and temperature (P,:V0:10). The gas is ideal with Cv-3R/2 and Cp/Cv-5/3. By means of a heating coil in the gas on the left hand side, heat is slowly supplied to the gas on the left until the pressure reaches...
The temperature of 3.5 mol of a monatomic ideal gas is 320 K. The internal energy...
The temperature of 3.5 mol of a monatomic ideal gas is 320 K. The internal energy of this gas is doubled by the addition of heat. (a) How much heat is needed when it is added at constant volume? (b) How much heat is needed when it is added at constant pressure?
The amount of heat needed to raise the temperature of 1 mole of a substance by...
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...
Nitrous oxide (N2O) behaves as an ideal gas and has a heat capacity at constant pressure...
Nitrous oxide (N2O) behaves as an ideal gas and has a heat capacity at constant pressure CP = 38.6 J/K∙mol. 4.2 moles of N2O initially at 298 K are heated at constant pressure until a final temperature of 358 K is reached. (a) Calculate the enthalpy change of N2O during that process. (b) Calculate the heat transfer Q during that process. (c) Calculate the work W performed during that process. (d) Calculate the change in internal energy ΔU during that...
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...
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...
IDEAL GAS with Compressibility Factor Z correction Problem 2) Find the specific volume of the gas...
IDEAL GAS with Compressibility Factor Z correction Problem 2) Find the specific volume of the gas in Problem 1A(=1.48ft^3/lbm) using the compressibility factor Z. IDEAL GAS STATE Problem 1) Air is at 200F and a pressure of 50 psia. Assuming ideal gas estimate the specific volume of this air at this condition. Air at a density of 1.2 kg/m3 is at a pressure of 150 Kpa. Find the temperature of the air assuming ideal gas. Find the specific volume of...
For an ideal gas, whose temperature increases from T1 to T2, what would be its enthalpy...
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, Show that for an ideal gas this implies that (a) the heat...
For an ideal gas, Show that for an ideal gas this implies that (a) the heat capacity Cv is independent of volume and (b) the internal energy U is only dependent on T
A cylinder contains 9.8 moles of ideal gas, initially at a temperature of 119°C. The cylinder is provided with a frictio...
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...
11) We know the internal energy of a given quantity of an ideal gas depends only...
11) We know the internal energy of a given quantity of an ideal gas depends only on its temperature. There is no change in internal energy purely due to a change in volume. But what about for a real gas? Does the energy depend on volume and, if so, how important is it to account for this? In Lecture #5 we show that, when a system undergoes an isothermal process, the change in internal energy due to a change in...
[2 ideal gas, thermodynamics process] A cylinder closed at both ends equipped with insulating (adiabatic) walls, and is divided into two parts with a frictionless, insulating, movable piston. The gases on both sides are initially at equilibrium with identical pressure, volume, and temperature (P,:V0:10). The gas is ideal with Cv-3R/2 and Cp/Cv-5/3. By means of a heating coil in the gas on the left hand side, heat is slowly supplied to the gas on the left until the pressure reaches...
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...
11) We know the internal energy of a given quantity of an ideal gas depends only on its temperature. There is no change in internal energy purely due to a change in volume. But what about for a real gas? Does the energy depend on volume and, if so, how important is it to account for this? In Lecture #5 we show that, when a system undergoes an isothermal process, the change in internal energy due to a change in...
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