Assuming CO2 to be an ideal gas, calculate the work done by 10 g of CO2 in expanding isothermally and reversibly from a volume of 5 liters to 10 liters at 27 °C. What are q, ∆U, and ∆H for the process?
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Assuming CO2 to be an ideal gas, calculate the work done by 10 g of CO2 in expanding isothermally and reversibly from a volume of 5 liters to 10 liters at 27 °C. What are q, ∆U, and ∆H for the process?
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- A 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. (a) What is the final pressure of the gas? (b) What are the initial and final temperatures? Find (c) Q, (d) Eint, and (e) W for the gas during this process.Unreasonable results. (a) Find the temperature of 0.360 kg of water, modeled as an ideal gas, at a pressure of 1.01105 Pa if it has a volume of 0.615 m3. (b) What is unreasonable about this answer? How could you get a better answer?A dilute gas at a pressure of 2.0 atm and a volume of 4.0 L is taken through the following quasi-static steps: (a) an isobaric expansion to a volume of 10.0 L, (b) an isochoric change to a pressure of 0.50 atm, (c) an isobaric compression to a volume of 4.0 L, and (d) an isochoric change to a pressure of 2.0 atm. Show these steps on a PV diagram and determine from your graph the net work done by the gas.
- 2 moles of a monatomic ideal gas undergoes a cyclic process as depicted in the figure below. The processes AB and CD are isobaric and the process DA is adiabatic. For the given values PA= 11.5 atm, VA= 5.7 L, V3= 2.85 L, Pc=34.5 atm, and Vc=1.476 L answer the following questions. (use R=8.314 J 1 atm = 1.013x105 Pa, 1 L = 10-3 m³) . mol · K' Volume 1. Calculate the temperature TA= K 2. What type of process is the process BC? 3. Calculate the work done by the gas in the process DA. WDA = 4. Calculate the magnitude of the net heat entering the cycle. Q = 5. Calculate the magnitude of the net heat leaving the cycle. Qc = 6. Calculate the net work done by the gas. W= 7. Calculate the thermal efficiency of the cycle. e = % 8. Calculate the change in the entropy in the process AB. Include the sign (positive or negative) in your answer as well. ASAB = K2 moles of a monatomic ideal gas undergoes a cyclic process as depicted in the figure below. The processes AB and CD are isobaric and the process DA is adiabat given values p= 12.5 atm, V= 5.6 L, V= 2.8 L, pc= 25 atm, and V.= 1.849 L answer the following questions. (u se R=8.314 1 atm = 1.013x 105 Pa, 1L= 10-3 m³) mol · K' Volume 1. Calculate the temperature T= 989.75 XK 2. What type of process is the process BC? adiabatic + 3. Calculate the work done by the gas in the process DA.WDA= 6765.9 XJ 4. Calculate the magnitude of the net heat entering the cycle. Q4 = 15871.96 XJ 5. Calculate the magnitude of the net heat leaving the cycle. Qe= 4593.485 XJ 6. Calculate the net work done by the gas. W= XJ 7. Calculate the thermal efficiency of the cycle. e = 8. Calculate the change in the entropy in the process AB. Include the sign (positive or negative) in your answer as well. AS AB1 moles of a diatomic ideal gas undergoes a cyclic process as depicted in the figure below. The processes AB and CD are isobaric and the process DA is adiabatic. For the given values PA= 11.5 atm, VA= 6.5 L, V3= 3.25 L, Pc= 23 atm, and Vc=1.981 L answer the following questions. J (use R=8.314 1 atm = 1.013x105 Pa, 1 L= 10-3 m3) mol · K' Volume 1. Calculate the temperature TA K 2. What type of process is the process BC? 3. Calculate the work done by the gas in the process DA.WDA = 4. Calculate the magnitude of the net heat entering the cycle. |QH|=| 5. Calculate the magnitude of the net heat leaving the cycle. |Qcl = 6. Calculate the net work done by the gas. EW= 7. Calculate the thermal efficiency of the cycle. e = 8. Calculate the change in the entropy in the process AB. Include the sign (positive or negative) in Pressure
- The Joule-Kelvin coefficient that determines the performance of a gas in a throttling process is defined as μ_JK = (∂T/∂p)_H where H is enthalpy. Show that μ_JK= 0 for an Ideal Gas. [HINT: You will need to form an expression for H, and use the differential calculus cyclic relation to correctly form this partial derivative for μJK]0.5 mole of an ideal monatomic gas starts from 500 point a in the diagram to the right. It undergoes a a b 400 constant pressure expansion from a to b; a constant volume compression from b to c: and an isothermal a200 compression from c to a. 200 From last week, find the three temperature values Ta, To and T. and the total work for one cycle W. Now find the heat added along the three processes 100 Qab, Qbc and Qca and the efficiency of this process. 2 4 Find the change in entropy along each process Sabı Spc and Sca and the total entrophy change. volume (m³) pressure (Pa)two canisters A and B each contain 0.20 mol of a diatomic gas at 400k and a pressure of 405300 Pa. A expands isothermally and B adiabatically until pressure of each is 303975 Pa. [for a diatomic gas Cv = (2/5) R 1) Sketch both processes on a single PV diagram 2) What are the final temperature and final volume of each canister
- A gas follows pV= bp + cT n an isothermal curve, where p is the pressure, V is the volume, b is a constant, and c is a function of temperature. Show that a temperature scale under an isochoric process can be estalished with this gas and is identical to thag of an ideal gas.A gas follows pV = bp + cT on an isothermal curve, where p is the pressure, V is the volume, b is a constant, and c is a function of temperature. Show that a temperature scale under an isochoric process can be established with this gas and is identical to that of an ideal gas.Identify the nature of the paths A, B, C, D in the figure below as isobaric, isothermal, isovolumetric, or adiabatic. For path B. Q = 0. MOST IMPORTANT: Explain your choices clearly and in detail. D T2 - T3 T4 B
