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- A monatomic gas in a certain gasoline engine undergoes an Otto cycle. a.) Assume that the pressure is increased by a factor of 1.5 during the adiabatic compression stroke, so that the pressure after this step is P2 = 1.5 P1, where P1 is the initial pressure. Write an equation for the volume V2 in terms of the volume before this step V1. b.) Write an equation for the temperature T2 after the adiabatic compression in terms of the temperature T1 before this step. c.) Assume the pressure is doubled after the isochoric step, such that the pressure after this step is P3 = 2.0 P2. Write an equation for the temperature after this step T3 in terms of a number (carried to two digits) multiplied by the temperature T2 before this step.A 2.00-L container has a center partition that divides it into two equal parts as shown below. The left side contains n = 0.029 0 mol of H2 gas, and the right side contains n = 0.029 0 mol of 02 gas. Both gases are at room temperature and at atmospheric pressure. The partition is removed, and the gases are allowed to mix. What is the entropy increase of the system? J/KA 1 500-kg car is moving at 20.0 m/s. The driver brakes to a stop. The brakes cool off to the temperature of the surrounding air, which is nearly constant at 20.0°C. What is the total entropy change?
- The difference AS=S,- S,between the entropies of two states A and B of a system can be calculated as the integral fdQ/T, counting that: B a. A and B are in the same adiabatic b. A and B are at the same temperature c. The integral is calculated over a reversible path d.The system is thermally insulated e. Friction in the process is disregarded*80. D The sun is a sphere with a radius of 6.96 X 10° m and an av- erage surface temperature of 5800 K. Determine the amount by which the sun's thermal radiation increases the entropy of the entire universe each second. Assume that the sun is a perfect blackbody, and that the average temperature of the rest of the universe is 2.73 K. Do not con- sider the thermal radiation absorbed by the sun from the rest of the universe.H4
- On a hot summer day, 2.00 x 10° J of heat transfer into a parked car takes place, increasing its temperature from 35.5°C to 44.4°C. What is the increase in entropy (in J/K) of the car due to this heat transfer alone? J/K Additional Materials CS Scanned with CamScanner O ReadingQ3 1 kg of liquid water at 77°C mixed with 1 kg of liquid water at 17°C until thoroughly mixed. Find: a) the final temperature of the mixture b) the entropy change of the hot water c) the entropy change of the cold water d) the total entropy change Given: the specific heat of liquid water is 4.2 kJ kg-¹ K-¹Consider ? = 5.00 mol of an ideal diatomic gas successively undergoing each one of the following thermodynamic processes:I. An adiabatic compression from an original volume of 0.150 m3to final volumeof 0.120 m3reaching a temperature of 293.0 K.II. An isothermal expansion to the original volume.III. An isochoric cooling to the original state. A) Draw a pressure-volume diagram showing all these processes.B) Calculate the pressure and temperature for each of the missing principal states.