Question

The volume of a monatomic ideal gas doubles in an adiabatic expansion. Considering 115 moles of...

The volume of a monatomic ideal gas doubles in an adiabatic expansion.

Considering 115 moles of gas with an initial pressure of 350 kPa and an initial volume of 1.4 m3 . Find the pressure of the gas after it expands adiabatically to a volume of 2.8 m3 .

Pf= 110 kPa

Find the temperature of the gas after it expands adiabatically to a volume of 2.8 m3 .

Homework Answers

Answer #1

Number of moles n = 115 moles

Ratio of specific heat of monoatomic gas = 5/3

initial pressure P= 350 kPa 350000 Pa

initial volume V = 1.4 m3

Final pressure P ' = ?

Final volume V = 2.8 m3 .

In adiabatic process , PV = P ' V '

From this P ' = P ( V / V ' )

= 350 kPa (1.4/2.8) 5/3

= 350 kPa (0.3149)

= 110.24 kPa

(b). Initial tempearture T = PV / nR

= (350000)(1.4) /(115)(8.314)

= 512.49 K

In adiabatic process TV-1 = TV-1

From this final temperature T ' = T (V/V ') -1

= 512.49 (1.4/2.8) 2/3

= 322.85 K

Pf= 110 kPa

Find the temperature of the gas after it expands adiabatically to a volume of 2.8 m3

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Five moles of monatomic ideal gas have initial pressure 2.50 × 103 Pa and initial volume...
Five moles of monatomic ideal gas have initial pressure 2.50 × 103 Pa and initial volume 2.10 m3. While undergoing an adiabatic expansion, the gas does 1180 J of work.​ What is the final pressure of the gas after the expansion?​ in kPa
With the pressure held constant at 250 kPa , 47 mol of a monatomic ideal gas...
With the pressure held constant at 250 kPa , 47 mol of a monatomic ideal gas expands from an initial volume of 0.70 m3 to a final volume of 1.9 m3 . a) How much work was done by the gas during the expansion? b) What were the initial temperature of the gas? c) What were the final temperature of the gas? d) What was the change in the internal energy of the gas? e) How much heat was added...
An ideal monatomic gas is contained in a vessel of constant volume 0.400 m3. The initial...
An ideal monatomic gas is contained in a vessel of constant volume 0.400 m3. The initial temperature and pressure of the gas are 300 K and 5.00 atm, respectively. The goal of this problem is to find the temperature and pressure of the gas after 18.0 kJ of thermal energy is supplied to the gas. (a) Use the ideal gas law and initial conditions to calculate the number of moles of gas in the vessel. 80.99 Correct: Your answer is...
Three moles of a monatomic ideal gas are heated at a constant volume of 2.90 m3....
Three moles of a monatomic ideal gas are heated at a constant volume of 2.90 m3. The amount of heat added is 5.10 103 J. (a) What is the change in the temperature of the gas? _____K (b) Find the change in its internal energy. _____J (c) Determine the change in pressure. _____Pa
4. Three moles of a monatomic ideal gas are initially at a pressure of 1.00 atm...
4. Three moles of a monatomic ideal gas are initially at a pressure of 1.00 atm and a temperature of 20.0OC. The gas is compressed adiabatically to a final pressure of 5.00 atm. Find: (a) the initial volume of the gas; (b) the final volume of the gas; (c) the final temperature of the gas; (d) the work done by the gas during the compression. Answers: (a) 72.1 L; (b) 27.5 L; (c) 285 OC; (d) -97.8 atm-L Please show...
1. An ideal monatomic gas, with 24.05 moles, expands adiabatically from 0.500m^3 to 1.75 m^3. IF...
1. An ideal monatomic gas, with 24.05 moles, expands adiabatically from 0.500m^3 to 1.75 m^3. IF the initial pressure and temperature are 1.40x10^5 Pa and 350K, respectively, find the change in internal energy of the gas if the final temperature of the gas is 152K. 2. A fridge does 17.5 KJ of work while moving 120KJ of thermal energy from inside the fridge. Calculate the fridge's coefficient of performance.
During an adiabatic process, the temperature of 3.92 moles of a monatomic ideal gas drops from...
During an adiabatic process, the temperature of 3.92 moles of a monatomic ideal gas drops from 485 oC to 205 oC. For this gas, find (a) the work done by the system and (b) the net heat absorbed by the system.
2 mols of a gas (gamma = 1.4) undergo an adiabatic expansion. If the gas volume...
2 mols of a gas (gamma = 1.4) undergo an adiabatic expansion. If the gas volume changed from 2L to 4L, and the initial temperature, what is the final temperature and pressure if the initial temperature was 300 K?
The volume of an ideal gas is adiabatically reduced from 200 L to 74.3 L. The...
The volume of an ideal gas is adiabatically reduced from 200 L to 74.3 L. The initial pressure and temperature are 1.00 atm and 300 K. The final pressure is 4.00 atm. ? = 8.314 J/mol.K , ????????? = 1.4, ??????????? = 1.67 and 1 atm = 1.013 × 10^5 Pa. mol.K (a) Is the gas monatomic or diatomic? (b) What is the final temperature? (c) How many moles are in the gas?
An ideal monatomic gas at 405 K expands adiabatically and reversibly to three times its volume....
An ideal monatomic gas at 405 K expands adiabatically and reversibly to three times its volume. What is its final temperature (in K)?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT