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
prohojiy [21]
3 years ago
10

A gas in a piston–cylinder assembly undergoes a process for which the relationship between pressure and volume is pVn = constant

. The initial pressure is 1 bar, the initial volume is 0.12 m3, and the final pressure is 9 bar. The value of the polytropic exponent is n = 1.9. Determine the final volume, in m3, and the work for the process, in kJ.
Physics
1 answer:
kirill [66]3 years ago
5 0

Answer:

The final volume is: 0.038 m3 adn the work for the process is: -24.42 KJ

Explanation:

The equation given for a polytropic process P*V^{n}=C when n and C are constants. First we determine the C with the initial conditions:100000*0.12^{1.9}=C= 1780, we need to remember that 1 bar is the same to 100000 Pascals. Then we can calculate the final volume solving the equation given to:Vfinal=\sqrt[n]{\frac{C}{Pfinal}} so we get:Vfinal=\sqrt[1.9]{\frac{1780}{900000} } = 0.038(m3). Now using the integration for work:Wb=\int\limits^2_1 {P}\,dV=\int\limits^2_1 {CV^{-n} } \, dV=C\frac{V2^{-n+1}-V1^{-n+1}}{-n+1} =\frac{P2*V2-P1*V1}{1-n}, replacing data we find the work process like:Wb=\frac{(900000*0.038)-(100000*0.12)}{1-1.9} =\frac{33977.46-12000}{-0.9} =-24419.4 (Joules)=-24.42 KJ

You might be interested in
Determine the half-life of uranium-238 based on the graph.
Nikitich [7]
From the curve on the graph we can see, when y=50 x=4.5
the unit of x-axis is in "billions of years", so the answer is 4.5 billions of years
7 0
3 years ago
Read 2 more answers
While traveling along a highway a driver slows from 31 m/s to 15 m/s in 8 seconds. What is the automobile’s acceleration? (Remem
MaRussiya [10]

Answer:

The automobile's acceleration in that time interval is -2 m/s^2

Explanation:

The acceleration is defined as the rate of change of the velocity.

The average acceleration in a given lapse of time is calculated as:

A = (final velocity - initial velocity)/time.

In this case, we have:

initial velocity = 31 m/s

final velocity = 15 m/s

time = 8 seconds.

Then the average acceleration is:

A = (15m/s - 31m/s)/8s = -2 m/s^2

8 0
3 years ago
A 7.00 kg bowling ball is held 2.00 m above the ground. Using g- 9.8 m/s^2, how much energy does the bowling ball have due to it
Alexeev081 [22]
It should be B.137 just took the test.
3 0
3 years ago
Kate is riding on a train and notices that the wildflowers by the side of the tracks seem to be moving by much faster than the m
madreJ [45]

Answer: motion parallax

Explanation:

Motion parallax refers to a form of depth perception whereby objects that are closer to an individual appears to move at a faster speed than the objects that are far.

Therefore, Kate is riding on a train and notices that the wildflowers by the side of the tracks seem to be moving by much faster than the mountains in the distance is an example of motion parallax.

6 0
3 years ago
What are you and the Australian Institute of Marine Biology trying to find out and 4. Why might it be important to find this inf
TEA [102]

Answer:

Established in 1972 by the McMahon Government, the institute's primary function is research for sustainable use and protection of the marine environment. The Institute investigates topics from broad-scale ecology to microbiology.

6 0
2 years ago
Other questions:
  • A solid sphere of brass (bulk modulus of 14.0 ✕ 1010 N/m2) with a diameter of 2.20 m is thrown into the ocean. By how much does
    5·1 answer
  • Coherent light of frequency 6.32 x 1014 Hz passes through two thin slits and falls on a screen 85.0 cm away. You observe that th
    12·1 answer
  • The function x = (1.2 m) cos[(3πrad/s)t + π/5 rad] gives the simple harmonic motion of a body. At t = 9.7 s, what are the (a) di
    15·2 answers
  • Consider a pool shaped like the bottom half of a sphere, that is being filled. The radius of the pool is 10 ft. If the height is
    15·1 answer
  • 1. In the context of the poem, what does it mean to feel alone? How can two people experience isolation despite living in the sa
    12·1 answer
  • Shrill sound is of -------------- *
    11·1 answer
  • Most houses in the countries that experience winter have air heaters installed.These heaters are usually installed near the floo
    12·1 answer
  • If a car has a mass of 200 kilograms and produces a force of 500 N, how fast will the car accelerate?
    15·1 answer
  • Describe an instance where you might use standard rounding. Describe an instance where you might use order of magnitude estimati
    12·1 answer
  • Select the correct answer.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!