Suppose that we allow 3.50 mol of an ideal gas with Cv=5R/2 to expand isothermally and reversibly from 100 atm, 10 L to 10.0 atm and then the gas is allowed to expand adiabatically and reversibly to a final pressure of 1.00 atm. Calculate q, w, ΔU and ΔH for each step and the total values for the two steps.
Suppose now that the processes are carried out irreversibly with pressure dropping discontinuously from 100 atm to 10.0 atm in the isothermal expansion and from 10.0 atm to 1.0 atm in the adiabatic expansion. Calculate q, w, ΔU and ΔH for each step and the total values for the two steps.
Suppose that we allow 3.50 mol of an ideal gas with Cv=5R/2 to expand isothermally and...
One mole of an Ideal Gas, for which Cv,m = 3/2R, initially at 20.0 C and 1.00 x106 Pa undergoes a two-stage transformation: Stage 1: The gas is expanded isothermally and reversibly until the volume doubles. Stage 2: Beginning at the end of the first stage, the temperature is raised to 80.0 C at constant volume. For each stage, calculate the final pressure, heat(q), work(w), change in internal energy (ΔU), and enthalpy (ΔH). Calculate the total q, w, ΔU, and...
One mole of an ideal gas, with CV,m=1.5R, is expanded isothermally at 341 K from 8.00 bar to 3.20 bar against a constant external pressure equal to the final pressure. Calculate q, w, ΔU and ΔH. Assume the temperature of the surroundings is also 341 K. find q, u, Delta H, Delta U
At 100°C, 1.00 mol of liquid water is allowed to expand isothermally into an evacuated vessel of such a volume that the final pressure is 0.500 atm. The amount of heat absorbed in the process was found to be 30.0 kJ/mol. Assume ideal behaviour of the gas. What are w, ΔU, ΔH, ΔS, and ΔG Data: ΔvapH = 40600 J/mol (at 1.00 atm) Hint: Employ a step-wise approach to be able to use the given data at the provided pressure.
Five moles of nitrogen gas is expanded in a piston-cylinder assembly from an initial state of 3 bar and 88 ºC to a final pressure of 1 bar. You can assume nitrogen to behave as an ideal gas with a constant heat capacity CP =7R/2. a) If the expansion is carried out isothermally and reversibly, calculate Q, W, ΔH and ΔU. Draw the process on a pV diagram. Label the axis and the path clearly. b) If the expansion is...
Consider one mole of an ideal gas at 25.0degree C. Calculate q, w, delta E, delta H, delta S, and delta G for the expansion of this gas isothermally and irreversibly from 2.45 times 10^-2 atm to 2.45 times 10^-3 atm in one step. Calculate q, w, delta E, delta H, delta S, and delta G for the same change of pressure as in part (a) but performed isothermally and reversibly. Calculate q, w, delta E, delta H, delta S,...
0.780 mol of an ideal gas, at 51.01 °C, is expanded isothermally from 1.94 L to 3.14 L. 1. What is the initial pressure of the gas, in atm? 1.07×101 atm You are correct. 2. What is the final pressure of the gas, in atm? 3. How much work is done on the gas, (in J), if the expansion is carried out in two steps by changing the volume irreversibly from 1.94 L to 3.14 L against a constant pressure...
A sample of 1.00 mol perfect gas molecules with Cp,m = 7/2R and at 298 K and 1.00 atm is put through the following cycle: (a) Constant volume heating to twice its initial pressure, (b) Reversible, adiabatic expansion back to its initial temperature, (c) reversible isothermal compression back to 1.00 atm. Calculate q, w, ΔU, and ΔH for each step and overall (assume the initial temp is 298 K).
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...
A mole of ideal monatomic gas travels irreversibly through the cycle described by the following steps: 1 → 2; (V1 = 24.4 dm3, T1 = 298 K) → (V2 = 24.4 dm3, T2 = 596 K) 2 → 3; (V2 = 24.4 dm3, T2 = 596 K) → (V3 = 12.2 dm3, T3 = 298 K) 3 → 1; (V3 = 12.2 dm3, T3 = 298 K) → (V1 = 24.4 dm3, T1 = 298 K) Determine the values of...
please do all the questions below with proper working steps.
Initially, the volume and pressure of 0.1 mol of methane gas are 2.90 L (b) and 1 atm, respectively. The gas is allowed to expand adiabatically and reversibly to a pressure of 0.1 atm. Assume that the gas behaves ideally and the value of Cp/Cv is 1.31. (i) What is the final temperature of the gas? (ii) Calculate q, w, AU and AH in joule () for the process. (ii)...