> > > > Problem 102P

# A rigid tank contains an ideal gas at 300 kPa and 600 K. ## Problem 102P Chapter 2

Fluid Mechanics | 2nd Edition

• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Fluid Mechanics | 2nd Edition

4 5 0 240 Reviews
14
5
Problem 102P

A rigid tank contains an ideal gas at 300 kPa and 600 K. Half of the gas is withdrawn from the lank and the gas is at 100 kPa at the end of the process. Determine (a) the final temperature of the gas and (b) the final pressure if no mass were withdrawn from the tank and the same final temperature were reached at the end of the process.

Step-by-Step Solution:

Part (a)

Step 1:

A rigid tank contains an ideal gas at initial pressure and half of the gas is withdrawn from the lank and the gas at the end of the process.

Initial pressure of the ideal gas P1 = 300 kPa

Initial temperature of the gas T1 = 600 K

Final pressure after withdrawing half of the gas P2 = 100 kPa

Step 2:

From ideal gas equation

PV = mRT ----(1)

Where

P - Pressure

V - volume

m - total mass of the gas

R - gas constant

T - temperature

Step 3:

To find the final temperature of the gas.        The pressure is reduced by withdrawing half of the gas. Assume that the volume remains the same. Therefore from the ideal gas equation

P1V = m1RT1 -----(2)

P2V = m2RT2 -----(3)

Since the gas is reduced to half of its previous value

m2 = -----(4)

Step 4:

Inserting (4) in (3) and dividing (2) =  = Step 5:

Rearranging the above equation for T2

T2 = Therefore

T2 = T2 = 400 K

The final temperature of the tank after reducing the gas is 400 K

Part (b)

Step 1:

Initial pressure of the ideal gas P1 = 300 kPa

Initial temperature of the gas T1 = 600 K

Final pressure of the gas P2 = 100 kPa

Step 2:

To find the final temperature if no mass is taken out. Therefore mass and volume remain constant. And from ideal gas equation = Step 3 of 3

##### ISBN: 9780071284219

Since the solution to 102P from 2 chapter was answered, more than 323 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 102P from chapter: 2 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219. The answer to “A rigid tank contains an ideal gas at 300 kPa and 600 K. Half of the gas is withdrawn from the lank and the gas is at 100 kPa at the end of the process. Determine (a) the final temperature of the gas and (b) the final pressure if no mass were withdrawn from the tank and the same final temperature were reached at the end of the process.” is broken down into a number of easy to follow steps, and 69 words. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2nd. This full solution covers the following key subjects: gas, final, withdrawn, were, end. This expansive textbook survival guide covers 15 chapters, and 1547 solutions.

Unlock Textbook Solution

A rigid tank contains an ideal gas at 300 kPa and 600 K.

×
Get Full Access to Fluid Mechanics - 2nd Edition - Chapter 2 - Problem 102p

Get Full Access to Fluid Mechanics - 2nd Edition - Chapter 2 - Problem 102p

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
We're here to help