4. The diffuser in a jet engine is designed to decrease the kinetic energy of the air entering the engine compressor without any work or heat interactions. Calculate the velocity at the exit of a diffuser when air at 100 kPa and 20°C enters it with a velocity of 500 m/s and the exit state is 200 kPa and 90°C.1
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- #3. You are tasked with both increasing the volume and decreasing the pressure of an ideal gas via a two step process. Would the system do more work by A)doing an isobaric expan- sion followed by an isochoric step or B) doing the isochoric step followed by the isobaric expansion? Use a sketch to illustrate and explain your answer.1. In a quasi-static isobaric expansion, 475 J of work are done by the gas. If the gas pressure is 0.7 atm, what is the fractional increase in the volume of the gas, assuming it was originally at 23 L? Use 1 atm 105 Pa & 1 L = 10-³ m³ ΔV VAs a 1.00 mol sample of a monoatomic ideal gas expands adiabatically, the work done by the gas is 2.50 x 10° Joules. The initial temperature of the gas is 600 K, and its initial pressure is 4.00 x 10 N/m2. Find: 1. The final temperature. 2. The final pressure.
- Q8: From the P-V diagrams below find the network for the cycle process of 1 mole gas at 27°C. A P (105Pa) 200 kPa P B 100 kPa 0.05m³ Isotherm 0.1m³ V 9.00 6.00 3.00 2 1 V (m³) 2.00 4.00 6.003 An ideal gas initially at 345 K undergoes an isobaric expansion at 2.50 kPa. The volume increases from 1.00 m to 3.00 m° and 13.6 k) is transferred to the gas by heat. (a) What is the change in internal energy of the gas? (b) What is the final temperature of the gas? K3-
- 1. Two moles of a monatomic ideal gas such as helium is compressed adiabatically and reversibly from a state (5.5 atm, 6.5 L) to a state with pressure 6.5 atm. For a monoatomic gas y=5/3. (a) Find the volume of the gas after compression. ✓ final = 5.9 (b) Find the work done by the gas in the process. Latm W= -3.9 (c) Find the change in internal energy of the gas in the process. AE int=39 L.atm. Check: What do you predict the signs of work and change in internal energy to be? Do the signs of work and change in internal energy match with your predictions?A fixed amount of monotonic ideal gas starts at 6.0 m3 and 6.0 × 105 Pa and exactly 0 °C when it is expanded at constant pressure to 8.0 m3. ii) What was the change in internal energy of the gas for this expansion? a) – 4.0 MJ b) – 2.0 MJ c) 0.0 MJ d) + 2.0 MJ e) + 4.0 MJ14. Suppose you expand an ideal gas adiabatically until its volume increases by 50%. By approximately what factor is the pressure reduced? (y = 5/3) a. 0.50 b. 0.35 C. 0.25 d. 0.70 e. 0.12