Determine the work done by a gas as it changes volume and pressure at a given temperature, and what happens to its internal energy. Calculate the ideal heat engine efficiency operating between two temperatures. Evaluate whether a claim of mechanical work corresponds to an ideal, real, of fictional heat engine (and thus cannot exist). Please give an example of each
Solution in the uploaded images
Determine the work done by a gas as it changes volume and pressure at a given...
3. An ideal gas is initially at a certain pressure and volume. It expands until its volume is four times the initial volume. This is done through an isobaric, an isothermal, and an adiabatic process, respectively. During which of the processes a) ...is the work done by the gas greatest? b)... is the smallest amount of work done by the gas? c) does the internal energy increase? d) ...does the internal energy decrease? e)... does the largest amount of heat...
An ideal monatomic gas undergoes changes in pressure and volume, as shown in the pV diagram below. The initial volume is 0.02 m3 and the final volume is 0.10 m3 20 10 01 (a) Calculate the magnitude, or absolute value, of the Work done on the gas in this process. (Be careful with units. Your answer should be in Joules. 1 atm 1.013x 105 Pa.) (b)The work done ON the gas is: O positive O negative (c) The initial temperature...
Consider a monoatomic ideal gas undergoing the following cycle: starting point (a), pressure increases at a constant volume reaching point (b), then the gas expands adiabatically until pressure reaches the initial value (point c), and then the gas is compressed at a constant pressure until the volume reaches the initial value back to point (a). The amount of gas is 1 mole. Monoatomic gas means it has only 3 degrees of freedom and the adiabatic constant gamma is 5/3. Sketch...
15. An air-standard, ideal gas cycle with limited-pressure combustion is used to evaluate an ideal compression ignition engine. The compression ratio is 12. The maximum temperature in the cycle is 2040 °F. The minimum temperature and pressure in the cycle is 40 OF and 20 psia, respectively. The coefficient β=1.2 (β is the ratio of the volume after to the volume before the constant pressure heat input process). Calculate the heat added during combustion per lbm of air, and the...
A polytropic process for an ideal gas in one in which pressure and volume are related by = const., where n is a constant. It is a generalization of the special processes considered earlier. Thus n = 0 defines an isobaric process, n = cp/cv an adiabatic process, n = 1 an isothermal process, and n = 8 an isochoric process. Suppose 1 kg of dry air at 280 K and 100 kPa undergoes a polytropic expansion in which the...
A monatomic ideal gas is taken through a closed cycle. Starting from state 1 with pressure P1 and volume V1 the gas expands isothermally (at constant temperature) to volume V2 = 2V1. It is then compressed at constant pressure back to the original volume V1 and then heated at constant volume to return to the original pressure P1 . a) Find how much work is performed by this gas during each part of this cycle. b) Find how much heat...
2. Isochoric/Adiabatic/Isobaric Cycle (10 pts) A heat engine using a monatomic gas follows the cycle shown in the PV diagram to the right. Between stages 1 and 2 the gas is at a constant volume, and between 2 and 3 no heat is transferred in or out, between 3 and 1 the pressure is held constant (a) For each stage of this process, calculate in Joules the heat, Q, transferred to the gas, and the work, W, done by the...
Consider a reversible isothermal expansion of a gas at temperature τ from volume V to volume V + ∆V . This is not a monatomic ideal gas, but the internal energy of the gas is given by U(τ, V ) = a*V* τ^ 4 , where a is a constant. The pressure is p = (1/3 U)/V . (a) What is the change of energy of the gas in the expansion? (b) How much work is done on the gas...
Five moles of the monatomic gas argon expand isothermally at 302 K from an initial volume of 0.020 m3 to a final volume of 0.050m3. Assuming that argon is an ideal gas, find (a) the work done by the gas, (b) the change in internal energy of the gas, and (c) the heat supplied to the gas. Four mole of gas at temperature 320 K expands isothermally from an initial volume of 1.5 L to 7 L. (a) What is...