1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IRISSAK [1]
3 years ago
12

A piston–cylinder assembly contains air, initially at 2 bar, 300 K, and a volume of 2 m3. The air undergoes a process to a state

where the pressure is 1 bar, during which the pressure–volume relationship is pV 5 constant. Assuming ideal gas behavior for the air, determine the mass of the air, in kg, and the work and heat transfer, each in kJ.
Engineering
1 answer:
Harman [31]3 years ago
6 0

Work, W = 277.269kJ

Internal energy, Q = 277.269kJ

<u>Explanation:</u>

Given-

Pressure, P1 = 2 bar

Temperature, T1 = 300K

Volume, V1 = 2m³

P2 = 1 bar

PV = constant

Let,

mass in kg be m

Work in kJ be W

Heat transfer in kJ be Q

R' = 8.314 kJ/kmolK

Mass of air, Mair = 28.97 kg/kmol

R = 0.289 kJ/kgK

We know,

PV = mRT

m = \frac{P_1V_1}{RT_1}

m = 5.65kg

To calculate V₂:

PV = constant = P₁V₁ = P₂V₂

P₁V₁ = P₂V₂

V_2 = \frac{P_1V_1}{P_2}

V₂ = 4m³

To calculate the work:

P₁V₁ = C

P₁ = C/ V₁

W = \int\limits^V_V {pdV} \,

where limit is V₁ to V₂

W =  \int\limits^V_V {\frac{c}{v} } \, dV \\\\W = C\int\limits^V_V {v^-^1} \, dV\\ \\W = P_1V_1 (ln\frac{V_2}{V_1} ) \\\\W = (2 bar) (2m^3) (ln\frac{4m^3}{2m^3}) (\frac{10^5 N/m^2}{1 bar}) \\\\W = 277.259kJ

To calculate heat transfer:

Q - W = Δu

Q - W = m (u₂ - u₁)

Q = W + m (u₂ - u₁)

Q = W + m X cv X (T₂ - T₁)

Since, T₁ ≈ T₂

There is no change of internal energy.

W = Q

Q = 277.269kJ

You might be interested in
Can you help me with this
Fiesta28 [93]

the function is to provide sealed combustion so that the loss of gas is minimized

6 0
2 years ago
Kinetic energy is defined as energy of an object in:
Murrr4er [49]

your answer is c. motion

5 0
3 years ago
Read 2 more answers
True or false. Part of the mission of the NTSB is to determine the probable cause of an accident
eimsori [14]

uniform

welcome 2 Ghana African state western region

6 0
3 years ago
Which of the following tools might civil engineers use when designing roads in a recently constructed industrial park?
Dmitry [639]

Answer:D. Gunter's Chain

Explanation:I know this because a gunter's chain is used for plots of land to be accurately surveyed and plotted, for legal and commercial purposes.

6 0
4 years ago
Read 2 more answers
How to build a robot
Anuta_ua [19.1K]
Seriously? Ok

first, get some good quality metal, preferably aluminum, if you want to avoid rust.

build in the the shape of a robot, you can use a doll to help you if you are a beginner, but feel free to shape it the a Star Wars Character!

create an AI (now you said robot not AI) and fix everything up.
7 0
4 years ago
Other questions:
  • function summedValue = SummationWithLoop(userNum) % Summation of all values from 1 to userNum summedValue = 0; i = 1; % Write a
    11·1 answer
  • Write down one metal or alloy that is best suited for each of the following applications:
    8·1 answer
  • Nitrogen can be liquefied using a Joule-Thomson expansioni process. This is done by rapidlyl and adiabatically expandign cold ni
    15·1 answer
  • How should employees talk to clients)
    9·1 answer
  • How do you connect several springs to increase the equivalent stiffness? What is one example from industry or other real-life si
    7·1 answer
  • Both equilibrium equations and constitutive models are needed to solve statically indeterminate problems. a)- True b)-False
    13·1 answer
  • Which of the following is an essential component of reinforced concrete?
    9·1 answer
  • What are the materials and tools used to build a headgear?​
    5·1 answer
  • If you deposit today 11,613 in an account earning 8% compound interest, for how long should you invest the money in order to ear
    5·1 answer
  • A common boundary-crossing problem for engineers is when their home country' values come into sharp contrast with the host count
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!