A heat engine using 130 mg of helium as the working substance follows the cycle shown in the figure. (Figure 1) Figure p (atm) 54 4 2 Isotherm 3 2 1 1 3 0 V (cm³) 0 1000 Vmax > 1 of 1 >
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- When a gas expands isothermally, it does work. What is the source of energy needed to do this work?One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of about 14,0 mol/m3 and a temperature of about 60 . (a) Is CO2 a solid, liquid, gas, or supercritical fluid under those conditions? (b) The van der Waals constants for carbon dioxide are a=0.3658 Pa m6/mol2 and b=4.286105 m3/mol. Using the van der Waals equation, estimate pressure of CO2 at that temperature and density. `A car tile contains 0.0380 m3 of air at a pressure of 2.20105 Pa (about 32 psi). How much more internal energy does this gas have than the same volume has at zero gauge pressure (which is equivalent to normal atmospheric pressure)?
- 14. a) What happens to the energy added to an ideal gas when it is heated a(i) constant volume (ii) constant pressure?A camot engine working between 300K and 600K has a work outpuof 8001 per cycle. What is the amount of heat energy supplied to theengine from source per cycle ?The pV-diagram in Fig. shows a process abc involving0.450 mol of an ideal gas. (a) What was the temperature of this gasat points a, b, and c? (b) How much work was done by or on the gas inthis process? (c) How much heat had to be added during the process toincrease the internal energy of the gas by 15,000 J?5 moles of an ideal gas are compressed to half the initial volume at a constant temperature of 27.0°C. Calculate the work done in the process. Given R 8.3 JK- mol-. Write your result up to appropriate significant figures.
- Question 2Air is contained in a cylinder by as frictionless gas-tight piston. a.Find the work done by the gas as it expands from a volume of 0.015 m^3 toa volume of 0.027 m^3 at a constant pressure of 2 x 10^5 Pa and 27°C.b. Find the final pressure and temperature if, starting from the same initialconditions as in (a), and expanding by the same amount, the change occurs(i) isothermally, and (ii) adiabatically. (Given y for air = 1.4)Six moles of an ideal gas is compressed to one-third its initial volume. If the gas is maintained at a constant pressure of 2.00 atm, and starts at initial temperature190 &ôey;C, what is the work done on the gas during the compression? (Note: 0 °C = 273K, and 1 atm = 101,325 Pascals.) Oa. 1.9E+4 J Ob. 6.3E+3 J Oc. 1.5E+4 J Od. 7.7E+3 J2 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 AB
- a) On a hot day in Las Vegas, an oil trucker loaded 37 000 L of diesel fuel. Hedelivered his entire load at a destination, where the temperature was 23.0 Klower than in Las Vegas. Due to thermal contraction the volume of the dieselwas reduced by 808 L. Who paid for the missing diesel fuel?b) Find out the work done by the gas during the cycle (Fig 2). Pressure andvolume at A are 210 kPa and 0.15 m3respectively. At B pressure is 110 kPa.One mole of an ideal gas does 4500 J of work as it expands isothermally to a final pressure of 1.00 × 105 Pa and volume of 0.031 m3 what was the initial volume ofd the gas inm cubic meters? What is the tenpature of the gas in kelvin?The temperature of an ideal gas is raised from 298 K to 402 K in a process that increases the heat content of the gas by 1000 J. What is the = -R for the gas, and these are constant. Hint: It will be 2 work performed on the system by this process? Assume that c 'y helpful to evaluate AU for this process. 3 =-R and C R