Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

L) Q6) An isolated gas tank is divided into two equal partitions separated by an impermeable membrane. One side of the membrane is filled with

image text in transcribedimage text in transcribedimage text in transcribed
L) Q6) An isolated gas tank is divided into two equal partitions separated by an impermeable membrane. One side of the membrane is filled with gas, and the other side is vacuum. The membrane between the two partitions breaks. At the end of the process, the temperature and pressure are uniform throughout the gas tank. Calculate the final temperature, final pressure, and the change in entropy if the filled partition in the tank initially contains a. ideal gas at 32 MPa and 400 C, with a constant specific heat capacity of C;= 29.3 J/mol-K. [5] b. steam at 32 MPa and 400 C. [25] Question b: a) Starting off with the difference form of the energy balance: AU = Q+W; +WEC+Z'5MFHF We know that there is no work done to the system and that there is no mass flow or heat transfer. We also know that the system is isolated, this means that there is no change in internal energy. So the difference form of the energy balance can be reduced to: AU =0 We can use the following expression for the change in specific internal energy: AU = CpAT molK change in temperature, so AT = 0. We are given a value of C; = 29.3 and we know that AU = 0.This means that there would be no If there is no change in temperature, we know that the final temperature will also be equal to T;. T, = 400C We can calculate the final pressure using the ideal gas law. Since we know temperature remains the same: PI_VJ_ :P2V2 _)qu The question states that the volume is separated into 2 separate and equal portions. This means that when the gas diffuses fully into the vacuum section, the volume doubles: 10 V2 = 2VI Substituting the above relationship into Eq1: PV = P2 2V, P, =- 2 VI P1 P, = 2 32MPa P. = - 2 P2 = 16MPa To work out the change in entropy, I will assume that C is independent of temperature: AS = $ In P2 TI RIn 673 1.6 x 107 S(P,, V.) - S(P. V, ) = In - 8.314 In 673 3.2 x 107 45 = 5.76283 molk

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Physics And The Ultimate Significance Of Time

Authors: David R. Griffin

1st Edition

088706115X, 9780887061158

More Books

Students also viewed these Physics questions

Question

HealthProfile.java

Answered: 1 week ago