In both cases below, one mole of an ideal gas is expanded from an initial volume V to a final volume 2 V. In both cases, the gas is identical and the initial pressure is 2P. The expansion is adiabatic in A and isothermal in B. Will the final temperature of the gas be (i) greater in Case A, (ii) greater in Case B, or (iii) the same in both cases? Explain your reasoning
In both cases below, one mole of an ideal gas is expanded from an initial volume...
C3-CT36: PRESSURE-VOLUME GRAPHS FOR EXPANDING GAS-WORK DONE Two containers of the same number of moles of an ideal gas are taken from the same initial state (same pressure, volume, and temperature) to the same final state by two different paths, as showrn. Case A 2Po Po 0 Case B Pressure Pressure Isothermal Linear 2Po Po 2Vo Volume 2Vo Volume 0 0 Is the work done by the gas on its surroundings () greater in Case A, (ii) greater in Case...
9. (5 points) 1.00 mole of an ideal gas undergoes an isothermal process. Its initial volume is 22.3 L. If the final volume is 223 L and final pressure is 0.377 atm, what is the gas's initial pressure? BONUS (1 point): What is the change in internal energy in this process? Explain your reasoning. 10. (6 points) A Carnot engine generates 155 kJ of work and 325 kJ of waste heat in each cycle. If heat is being taken in...
Two moles of an ideal gas undergo an isothermal expansion at 565 K from a pressure of 12.5 Bar to a final pressure of 1.50 Bar. Calculate AU, AH, and AS for the process if Cy = R. The same ideal gas undergoes an adiabatic expansion from the same initial pressure to the same final pressure (and the same initial temperature). Calculate the final temperature, AU, AH, and AS for the process.
) One mole of a monoatomic ideal gas at initial pressure of 30 atm and 600 K undergoes a rapid adiabatic free expansion from a vessel to another 50 times larger in volume. Find the change in temperature and the increase in entropy.
A sample of 1.00 mol of N2 gas is expanded adiabatically from a volume of 10.00 dm3 and a temperature of 400 K to a volume of 20.00 - 3 -dm3. Assume that nitrogen is ideal, with Cv,m = 5R/2. (i) Find the final temperature if the expansion is carried out reversibly. (ii) Calculate the final temperature if the expansion is carried out with a constant external pressure of 1.00 atm. (iii) Find the final temperature if the gas expands...
Consider an ideal gas having initial pressure and volume p_1, V_1 in terms of p_1, V_1 and gamma, write down an expression for the variation of p with V during (a) isothermal expansion, (b) adiabatic expansion, (c) Show that the slope d p/dV of the path on a p-V diagram is steeper for adiabatic processes than for isothermal processes, given that gamma = C_p/C_v> I.
Part D please An ideal monatomic gas initially has temperature Ti and pressure pi. It is to expand from volume V to volume Vf. (Use any variable or symbol stated above as necessary.) (a) If the expansion is isothermal, what is the final pressure? (b) If the expansion is isothermal, what is the work done by the gas? 42) 1219 (c) If, instead, the expansion is adiabatic, what is the final pressure? (d) If the expansion is adiabatic, what is...
One mole of an ideal gas from an initial state described by T= 250 Kand P= 1.00 bar with CV,m= (5/2)Rundergoes an adiabatic expansion against a constant external pressure of 0.500 bar until the final pressure is half its initial value. What is w, and ΔS for this process? Note that the process involves both changes in T and P.
105Pa, initial temperature T-300K, and an initial 1. An ideal gas with initial pressure 2 volume V - 1m3 expands isothermally to a final volume of 2m3. Then, the gas returns to its initial state, first by constant pressure (isobaric) contraction, and then by a change at constant volume (isochoric) a) Draw a PV diagram of this process. What's the total change in thermal energy of the entire process? b) What's the work done by the environment on the gas?...
One mole of an ideal monatomic gas is expanded from an initial state at 3 bar and 450 K to a final state at 2 bar and 250 K. Choose two different paths for this expansion, specify them carefully, and calculate w and q for each path. Calculate ?U and ?S for each path.