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
Lera25 [3.4K]
3 years ago
14

A balloon is inflated from 0.0100 l to 0.400 l against an external pressure of 10.00 atm. how much work is done in joules? 101.3

j = 1 l x atm
Physics
2 answers:
Ganezh [65]3 years ago
4 0
To calculate the work, we use:
W = PΔV
W = 10(0.4-0.01)
W = 3.9 L*atm
W = 3.9 * 101.3
W = 395.07 Joules
Lina20 [59]3 years ago
4 0

The work done by the gas against the external pressure of 10.00\text{ atm} is \boxed{395.07\text{ J}}.

Further explanation:

This is a case of constant pressure expansion process. It is also called isobaric process. In an isobaric process gas does work at constant pressure.

According to first law of thermodynamics, for a process the net heat transfer to the system can be either increase the internal energy of the gas or do some work against an external force. If heat is added at constant pressure process, some heat is used in gas work against external pressure force and some of the work is used in increasing the internal energy of the gas.

Given:

Balloon is inflated from 0.0100\text{ }l-0.400\text{ }l.

{V_1} = 0.0100\,{\text{ }l}\\{V_2} = 0.400\,{\text{ }l}

External pressure is 10.00\text{ atm}

1\text{ atm}=101.3\text{ KPa}\\1\,{\text{}l} \times 1{\text{ atm}} = 101.3\,{\text{J}}

Concept:

For a reversible process work done by gas is

dW = p \cdot dV

Here, dW is the work done in a process, p is the pressure and dv is the change in the volume of gas.

Integrating the above expression for a process 1 to 2

\int_1^2 {dW}  = \int_1^2 {p \cdot dV}

 

If pressure is kept constant in the process 1 to 2

Net work done in the process  

{W_{{\text{net}}}} = p\left( {{V_2} - {V_1}} \right)                …… (1)

Substitute 0.0100\,{\text{ }l} for {V_1}, 0.400\,{\text{ }l} for {V_2} and 10.00\text{ atm} for p in equation (1).

\begin{aligned}{W_{{\text{net}}}}&=\left( {10.00\,{\text{atm}}} \right)\left( {0.400{\kern 1pt} {\text{l}} - 0.0100\,{\text{l}}} \right)\\&=3.90\,\,{\text{l}}\cdot{\text{atm}}\\\end{aligned}

Use conversion

\begin{aligned}{W_{{\text{net}}}}&=3.90{\kern 1pt} {\kern 1pt} {\text{l}} \cdot {\text{atm}}\left( {\frac{{101.3\,{\text{J}}}}{{1\,\,{\text{l}} \cdot {\text{atm}}}}} \right)\\&=395.07\,{\text{J}}\\\end{gathered}

Thus, the work done by the gas against the external pressure of 10.00\text{ atm} is \boxed{395.07\text{ J}}.

Learn More:

1.  To what volume will a 2.33 l sample expand brainly.com/question/9979757

2. Kinetic energy of the emitted electrons brainly.com/question/9059731

Answer Details:

Grade: High School

Subject: Physics

Chapter: Thermodynamics

Keywords:

Balloon, inflated, 0.0100 l, 0.400 l, against, pressure, 10.00 atm, work, joules, 101.3 J, 1 ltimes atm, 3.9 l atm, 395.07 J.

You might be interested in
ASAP WILL GIVE BRAINLIEST Take a piece of paper, some nails and a magnet bar, place a magnet at the centre of the paper, and spr
Zanzabum

Answer: find the answer in the explanation

Explanation:

When a magnet is placed at the centre of the paper, and the nails are sprinkled on the paper, what will happen to the nails is that, the nails will form a pattern on the paper according to the magnetic field of the bar magnetic pole.

Other phenomena you can observe are:

1.) The nails will align themselves and show some lines of forces which is equivalent to the magnetic field lines

2.) The direction of the line of forces

3.) The strength of the magnetic field pole.

7 0
3 years ago
Find the unit vector in the direction of vector B=4i+2j-5k​
solmaris [256]

Answer:

\frac{4}{\sqrt{45} } i\,+\frac{2}{\sqrt{45} } j-\frac{5}{\sqrt{45} } k

Explanation:

for the unit vector, we need to divide the given vector by its norm, because it should be in the SAME direction as the original vector, but of magnitude "1".

We notice that the norm of the given vector is:

\sqrt{4^2+2^2+(-5)^2} =\sqrt{45}

Then, the unit vector becomes:

\frac{4}{\sqrt{45} } i\,+\frac{2}{\sqrt{45} } j-\frac{5}{\sqrt{45} } k

7 0
3 years ago
a 2000 kg truck is moving eastward at 25 m/s. it collides inelastically with a 1500 kg truck traveling southward at 30 m/s. they
Otrada [13]

According to the given statement Final velocity when they stick together is 8.735i^ + 11.25j^​

<h3>What is collision and momentum?</h3>

The unit of momentum is kg ms -1. Momentum is a vector parameter that is influenced by the object's direction. During collisions involving objects, momentum is a relevant concept. The final velocity before a collision between two objects equals the total motion after the impact (in the absence of external forces).

<h3>Briefing:</h3>

From conservation of momentum

Initial momentum = final momentum

m u +M U =(m+M) V

2000×25 i^ +1500×30 j^​ =(2000+1500) V

V = 8.735i^ + 11.25j^​

Final velocity when they stick together is 8.735i^ + 11.25j^​

To know more about Collide visit:

brainly.com/question/27993473

#SPJ4

The complete question is -

A 2000 kg truck is moving eastward at 25 m/s. it collides inelastically with a 1500 kg truck traveling southward at 30 m/s. they collide at the intersection. Find the direction and magnitude of velocity of the wreckage after the collision, assuming the vehicles stick together after the collision.

6 0
1 year ago
Advantages of cutting crops with sickle ? please friends give this answer in easy way....​
Eva8 [605]

Answer: The only advantage cutting crops with a sickle is that its very effective for cutting lodged crops.

6 0
3 years ago
How is rate speed useful in everyday life
zepelin [54]
Rate of change of speed is the acceleration of something. If something is accelerating then a force is acting on it. In everyday life we need to calculate forces and make sure they are the right value.
3 0
3 years ago
Other questions:
  • The laser pointer emits light because electrons in the material are excited (by a battery) from their ground state to an upper e
    6·1 answer
  • Several paper clips dangle from the north pole of a magnet. The induced pole in the bottom of the lowermost paper clip is a
    14·1 answer
  • A train brakes from 25 m/s to rest in 30 sec. What is its deceleration?
    10·1 answer
  • The formula for the hydronium ion is
    9·1 answer
  • Which gas has molecules with the greatest average molecular speed at 25°c?
    9·1 answer
  • the useful power out of an electric motor is 20w and the total power into the motor is 80w calculate the percentage efficiency o
    15·1 answer
  • Make a rough estimate of the number of quanta emitted in one second by a 100 W light bulb. Assume that the typical wavelength em
    12·1 answer
  • Circuit A in a house has a voltage of 208 V and is limited by a 40.0-A circuit breaker. Circuit B is at 120.0 V and has a 20.0-A
    10·1 answer
  • According to the Doppler effect, the __________ of sound waves will determine the pitch of the sound.
    13·1 answer
  • The len() function counts the total number of key/value pairs stored in a dictionary and returns this value as an integer.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!