Question
Asked Oct 27, 2019
25 views
2. A tank is filled with methane at 7.9 MPa and 200 K. Due to poor insulation, the gas
warms to 286 K after a period of time. If the tank has a volume of 10 m2, calculate (a)
the mass within the tank, in kg, and (b) the final pressure in the tank, in MPa
help_outline

Image Transcriptionclose

2. A tank is filled with methane at 7.9 MPa and 200 K. Due to poor insulation, the gas warms to 286 K after a period of time. If the tank has a volume of 10 m2, calculate (a) the mass within the tank, in kg, and (b) the final pressure in the tank, in MPa

fullscreen
check_circle

Expert Answer

Step 1

Given:

help_outline

Image Transcriptionclose

P Р, Т. Initial pressure, P=7.9 MPa Initial temperature, T=200 K Isochoric Final Temperature, T-286 K process Volume of tank, V=10 m3 Р, Т. V

fullscreen
Step 2

Assumptions

  1. It is assumed that methane is an ideal gas.
  2. Specific heat is constant.

The methane is gaining heat at constant volume thus it is an isochoric heat addition process as shown in the figure of step 1.

The value of gas constant R for methane is taken from the thermodynamic property table

help_outline

Image Transcriptionclose

R-0.5183 kJ/Kg.K

fullscreen
Step 3

a

Apply ideal gas law ...

help_outline

Image Transcriptionclose

mR,T РИ — PV RT m=- 7.9x106 x10 m=- 518.3 x200 m=762.1kg

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Engineering

Mechanical Engineering

Thermodynamics

Related Mechanical Engineering Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Question 5 A bracket ABCD having a hollow cırcular cross sectuon consists of a vertical arm AB (L = ...

A: Click to see the answer

question_answer

Q: True or False: There is only one layout allowed in a drawing file.

A: The sheet set manager consists of multiple sheets. The drawing file created by the sheet set manager...

question_answer

Q: Determine the Miller- Bravais indices

A: The procedure to find the Miller indices is as follows:Translate the given plane as to either inters...

question_answer

Q: The collar of mass m is released from rest while in position A and subsequently travels with negligi...

A: Thank you for your question, there are four subparts given in the question and it is not mentioned w...

question_answer

Q: The alloy’s melting temperature will dictate the _____. a)pattern material b)size of injector pump ...

A: The die casting process requires a pattern or a mold to produce the metal casting. But the requireme...

question_answer

Q: A commonly used unit in everyday language to state weight is the pound (lb). There are actually seve...

A: We have been given the following data:

question_answer

Q: 3-20 Water is boiling in a 25-cm-diameter aluminum pan (k 237 W/m K) at 95°C. Heat is transferred st...

A: Assumption:Consider system as Steady state and one dimensional since the thickness of the pan is ver...

question_answer

Q: Starting with an energy balance on a disk volume element, derive the one-dimensional transient heat ...

A: Assumptions: A two-dimensional disc, constant value of thermal conductivity and heat generation occu...

question_answer

Q: Fluid A has a dynamic viscosity of 2.8 centipoise and a specific gravity of 1.81 What is the dynamic...

A: Convert the dynamic viscosity from centipoise to gram per centimeter second as follows: