Question

In: Physics

Suppose 1.0 mol of an ideal gas is initially at P=4.0 atm and T=400 K. It...

Suppose 1.0 mol of an ideal gas is initially at P=4.0 atm and T=400 K. It is expanded irreversibly and adiabatically against a constant pressure of 1.0 atm until the volume has doubled.
(a) Calculate the final volume of the gas.
(b) Calculate w, q, and energy change ΔU of this process, in joules.
(c) Calculate the final temperature of the gas.
(d) Calculate the entropy change ΔS of the ideal gas in the process.
(e) What is the entropy change of the surroundings, ΔS_surr, during this process? Does the results in (c) and (d) in combination satisfy the second law of thermodynamics? Explain

Solutions

Expert Solution


Related Solutions

For 1 mol of an ideal gas, Pexternal = P = 1 atm. The temperature is...
For 1 mol of an ideal gas, Pexternal = P = 1 atm. The temperature is changed from 125ºC to 25.0ºC, and CV,m = 3/2R. Calculate (all units are J) q= , w= , ∆U= , and ∆H= . Please enter your answers with 2 decimals in E notation, such as 2.33E4 (=23345). If the answer is negative, please do not forget the negative sign. If answer is zero, please just enter 0 without decimal.
8. Three moles of ideal monatomic gas at 400 K are compressed from 1 atm to...
8. Three moles of ideal monatomic gas at 400 K are compressed from 1 atm to 20 atm. Find for each of the following processes starting at the same initial condition the work, heat, ΔU, and ΔH if the compression is performed a. Isothermally b. Isochorically c. Adiabatically
Two moles of an ideal gas originally at T = 400 K and V = 40...
Two moles of an ideal gas originally at T = 400 K and V = 40 L undergo a free expansion; ?2 = 10?1 . Find (a) the entropy change of the gas, and (b) the entropy change of the universe?
n = 2.58 mol of Hydrogen gas is initially at T = 376 K temperature and...
n = 2.58 mol of Hydrogen gas is initially at T = 376 K temperature and pi = 1.88×105 Pa pressure. The gas is then reversibly and isothermally compressed until its pressure reaches pf = 8.78×105 Pa. What is the volume of the gas at the end of the compression process? How much work did the external force perform? How much heat did the gas emit? How much entropy did the gas emit? What would be the temperature of the...
n = 2.66 mol of Hydrogen gas is initially at T = 318 K temperature and...
n = 2.66 mol of Hydrogen gas is initially at T = 318 K temperature and pi = 2.49×105 Pa pressure. The gas is then reversibly and isothermally compressed until its pressure reaches pf = 9.49×105 Pa. a.)What is the volume of the gas at the end of the compression process? b.) How much work did the external force perform? c.) How much heat did the gas emit? d.) How much entropy did the gas emit? e.) What would be...
n = 4.33 mol of Hydrogen gas is initially at T = 378 K temperature and...
n = 4.33 mol of Hydrogen gas is initially at T = 378 K temperature and pi = 2.88
n = 3.49 mol of Hydrogen gas is initially at T = 309 K temperature and...
n = 3.49 mol of Hydrogen gas is initially at T = 309 K temperature and pi = 2.97×105 Pa pressure. The gas is then reversibly and isothermally compressed until its pressure reaches pf = 7.27×105 Pa. What is the volume of the gas at the end of the compression process? How much work did the external force perform? How much heat did the gas emit? How much entropy did the gas emit? What would be the temperature of the...
n = 4.43 mol of Hydrogen gas is initially at T = 336.0 K temperature and...
n = 4.43 mol of Hydrogen gas is initially at T = 336.0 K temperature and pi = 2.45×105 Pa pressure. The gas is then reversibly and isothermally compressed until its pressure reaches pf = 8.84×105 Pa. How much work did the external force perform? How much heat did the gas emit? How much entropy did the gas emit? What would be the temperature of the gas, if the gas was allowed to adiabatically expand back to its original pressure?
n = 2.94 mol of Hydrogen gas is initially at T = 381 K temperature and...
n = 2.94 mol of Hydrogen gas is initially at T = 381 K temperature and pi = 2.24×105 Pa pressure. The gas is then reversibly and isothermally compressed until its pressure reaches pf = 7.63×105 Pa. What is the volume of the gas at the end of the compression process? *****What would be the temperature of the gas, if the gas was allowed to adiabatically expand back to its original pressure?
n = 4.67 mol of Hydrogen gas is initially at T = 345.0 K temperature and...
n = 4.67 mol of Hydrogen gas is initially at T = 345.0 K temperature and pi = 3.02×105 Pa pressure. The gas is then reversibly and isothermally compressed until its pressure reaches pf = 6.72×105 Pa. What is the volume of the gas at the end of the compression process? How much work did the external force perform? How much heat did the gas emit? How much entropy did the gas emit? What would be the temperature of the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT