Question

Three moles of an ideal monatomic gas expand at a constant pressure of 2.90atm : the...

Three moles of an ideal monatomic gas expand at a constant pressure of 2.90atm : the volume of the gas changes from 3.30*10^-2m^3 to 4.50*10^-2m^3.

Part A, Calculate the initial temperature of the gas.

Part B, Calculate the final temperature of the gas.

Part C, Calculate the amount of work the gas does in expanding.

Part D, Calculate the amount of heat added to the gas.

Part E, Calculate the change in internal energy of the gas.

Homework Answers

Answer #1

A)

P = pressure = 2.90 atm = 2.90 x 1.01 x 105 Pa = 2.94 x 105 Pa

Vi = initial volume = 0.033 m3

Ti = initial temperature = ?

n = number of moles = 3

Using the equation

PVi = nRTi

(2.94 x 105) (0.033) = (3) (8.314) Ti

Ti = 389 K

b)

P = pressure = 2.90 atm = 2.90 x 1.01 x 105 Pa = 2.94 x 105 Pa

Vf = final volume = 0.045 m3

Tf = initial temperature = ?

n = number of moles = 3

Using the equation

PVf = nRTf

(2.94 x 105) (0.045) = (3) (8.314) Tf

Tf = 530.4 K

C)

work done is given as

W = P (Vf - Vi) = (2.94 x 105) ((0.045) - (0.033)) = 3528 J

d)

Q = n Cp (Tf - Ti) = (3) (2.5) (8.314) (530.4 - 389) = 8817 J

e)

Using first law

Q = W + U

8817 = 3528 + U

U = 5289 J

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
17) Three moles of an ideal monatomic gas expand at a constant pressure of 2.70 atm...
17) Three moles of an ideal monatomic gas expand at a constant pressure of 2.70 atm ; the volume of the gas changes from 3.10×10−2 m3 to 4.60×10−2 m3 . Part A Calculate the initial temperature of the gas. Part B Calculate the final temperature of the gas. Part C Calculate the amount of work the gas does in expanding. Part D Calculate the amount of heat added to the gas. Part E Calculate the change in internal energy of...
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
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...
8. Three moles of a monatomic ideal gas are heated at a constant volume of 2.10...
8. Three moles of a monatomic ideal gas are heated at a constant volume of 2.10 m³. The amount of heat added is 5.3 x 10^3J. Determine the change in pressure.
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...
An ideal monatomic gas is contained in a vessel of constant volume 0.330 m3. The initial...
An ideal monatomic gas is contained in a vessel of constant volume 0.330 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 24.0 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. Your response differs from the...
In this problem, 0.90 mole of a monatomic ideal gas is initially at 285 K and...
In this problem, 0.90 mole of a monatomic ideal gas is initially at 285 K and 1 atm. (a) What is its initial internal energy? _____ kJ (b) Find its final internal energy and the work done by the gas when 420 J of heat are added at constant pressure. final internal energy ________kJ work done by the gas _______kJ (c) Find the same quantities when 420 J of heat are added at constant volume. finale internal energy ________kJ work...
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...
2.)1.0 mol sample of an ideal monatomic gas originally at a pressure of 1 atm undergoes...
2.)1.0 mol sample of an ideal monatomic gas originally at a pressure of 1 atm undergoes a 3-step process as follows:                  (i)         It expands adiabatically from T1 = 588 K to T2 = 389 K                  (ii)        It is compressed at constant pressure until its temperature reaches T3 K                  (iii)       It then returns to its original pressure and temperature by a constant volume process. A). Plot these processes on a PV diagram B). Determine the temperature T3 C)....
A mole of a monatomic ideal gas is taken from an initial pressure p and volume...
A mole of a monatomic ideal gas is taken from an initial pressure p and volume V to a final pressure 3p and volume 3V by two different processes: (I) It expands isothermally until its volume is tripled, and then its pressure is increased at constant volume to the final pressure. (II) It is compressed isothermally until its pressure is tripled, and then its volume is increased at constant pressure to the final volume. Show the path of each process...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT