Calculations: (27 points) One mole of an monatomic ideal gas is initially at 12 bar and...
6. (25 points) One mole of a monatomic ideal gas, initially at pressure P1 = 105 Pa and temperature T1 = 273 K undergoes an isovolumetric process in which its pressure falls to half its initial value. a) What is the work done by the gas? What is the final temperature? b) The gas then expands isobarically (constant pressure) to twice its initial volume. What is the work done by the gas? What is the final temperature? c) Draw a...
One mole of an ideal monatomic gas is expanded from an initial state at 3 bar and 450 K to a final state at 2 bar and 250 K. Choose two different paths for this expansion, specify them carefully, and calculate w and q for each path. Calculate ?U and ?S for each path.
One mole of an ideal monoatomic gas is initially at 300 K and 5 bar of pressure inside a cylinder with a frictionless piston. a) The cylinder is kept in a heat bath and the gas is allowed to expand under 1 bar of external pressure. Calculate the work and heat associated with this process. b) Calculate the change in enthalpy for isothermal expansion at constant pressure. c) Alternatively, the gas is allowed to expand isothermally under near-equilibrium conditions. Calculate...
W 2. One mole of an ideal gas initially at 37°C and 2 bar pressure is heated and allowed to expand reversibly at constant pressure until the final temperature is 287°C. For this gas, Cum = 2.5R, constant over the temperature range. a. Derive related thermodynamic equations (q, w, U, and H) for an ideal gas, when the temperature is changed (5 points). b. Calculate w (work done on the ideal gas), 9 (the amount of heat absorbed by the...
One mole of an ideal monatomic gas, initially at a pressure of 1.04 atm and a volume of 0.0124 m^3 , , is heated to a final state where the pressure is 3.04 atm and the volume is 0.0274 m^3 . The gas constant is 8.31447 J/mol · K . Determine the change in entropy for this
Consider the isothermal compression of 1 mole of a monatomic ideal gas, initially at a pressure of 0.5 bar and volume of 4 liters to a final pressure of 2 bar. Calculate the following: a. The work done if the compression is reversible-answer in Joules b. The work done if the compression is irreversible-answer in Joules
4. One mole of monoatomic ideal gas, initially at 27 oC and 1 bar, is heated and allowed to expand reversibly against constant pressure of 1 bar until the final temperature is 127 °C. 4.1 What are the initial (Vi) and final (V2) volumes of the gas? 4.2 Calculate the work (w) that the gas does during this expansion. 4.3 Calculate the internal energy change (AU) of this expansion process 4.4 Calculate the enthalpy change (AH) of this expansion process.
One mole of an ideal monatomic gas is initially at a temperature of 274 K. Find the final temperature of the gas if 3260 J of heat are added to it and it does 712 J of work? solve step by step answer should be T = 478.4 K
One mole of a monatomic ideal gas expands from 4 to 10 L at constant pressure of 1 atm. Assuming that Cp = 20.8 J/mol-K, calculate ΔH for this process.
THERMODYNAMICS Please answer the following question below 8. Consider 1 mole of a monatomic ideal gas undergoing the changes of state indicated on the Pressure-Temperature diagram below. 4 3 0 100 200 300 400 Temperature, K a. Calculate AU, q, w, and AH for the step AB b. Calculate AU, q, w, and AH for the step BC C. Can you prove a general and very simple expression for ΔΗ for an isothermal change of state of an ideal gas?