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
mamaluj [8]
3 years ago
14

A 5 m3 tank containing 5kg of an unknown ideal gas at 500 kPa is connected through a valve to another tank containing 10 kg of t

he same gas at 200 kPa. The two tanks have thermal equilibrium with the ambient environment. After the valve has been opened, the tanks again reach thermal equilibrium with their ambient environment. What is the a) total volume, b) total mass, and c) pressure of the gas in the two tanks
Physics
1 answer:
Ivan3 years ago
3 0

Answer:

a) V_{T} = 9\,m^{2}, b) m_{T} = 15\,kg, c) P_{T} = 416.667\,kPa

Explanation:

a) The equation of state for ideal gas is:

P \cdot V = \frac{m}{M}\cdot R_{u}\cdot T

Given the existence of an isothermal process, the following relation is derived:

\frac{P_{1}\cdot V_{1}}{m_{1}} = \frac{P_{2}\cdot V_{2}}{m_{2}}

The volume of the other tank is:

V_{2} = \left(\frac{m_{2}}{m_{1}} \right)\cdot \left(\frac{P_{1}}{P_{2}}\right)\cdot V_{1}

V_{2} = \left(\frac{10\,kg}{5\,kg} \right)\cdot \left(\frac{200\,kPa}{500\,kPa}\right)\cdot (5\,m^{3})

V_{2} = 4\,m^{3}

The total volume is:

V_{T} = V_{1} + V_{2}

V_{T} = 5\,m^{3} + 4\,m^{3}

V_{T} = 9\,m^{2}

b) The total mass is:

m_{T} = m_{1} + m_{2}

m_{T} = 5\,kg + 10\,kg

m_{T} = 15\,kg

c) The pressure of the gas in the two tanks is:

P_{2} = \left(\frac{m_{2}}{m_{1}} \right)\cdot \left(\frac{V_{1}}{V_{2}}\right)\cdot P_{1}

P_{T} = \left(\frac{15\,kg}{5\,kg}\right)\cdot \left(\frac{5\,m^{2}}{9\,m^{2}} \right)\cdot (500\,kPa)

P_{T} = 416.667\,kPa

You might be interested in
redacteaza un text in care sa iti exprimi parerea in legaturacurtamentul golegilor din textul oracolul
Ivahew [28]

Answer:

Seriously I have no idea. I need help with my homework.

Explanation:

I really need help with my homework. Sorry

4 0
3 years ago
A cart is rolling across the floor at a constant velocity of 2 m/s to the right. The cart is pushed again to the right, and it s
OlgaM077 [116]
The force of the push and acceleration of the cart are  related such as The unbalanced push causes the cart to accelerate.

4 0
3 years ago
A 40.0 -kg box initially at rest is pushed 5.00 m along a rough, horizontal floor with a constant applied horizontal force of 13
salantis [7]

The work done by the applied force = 650 J

Given the mass of the box = 40 kg

The displacement of the box on applying force = 5 m

Applied horizontal force = 130 N

The co-efficient of friction between box and floor is = 0.3

We have to find the work done by the applied force.

Work done by the applied force = Applied Force x Displacement of the box

                                                      = 130 N x 5 m

                                                      = 650 J

[Here the unit Nm is known as Joule(J) ]

We have the co-efficient of friction. So,

The force applied due to friction = Mass of the box x Co-efficient of friction                                                                   x Acceleration due to gravity

                                                      = 40 kg x 0.3 x 9.8

                                                      = 117.6 N

Learn more about Work done at brainly.com/question/62183

#SPJ4

6 0
1 year ago
A body initially at 100°C cools to 60°C in minutes and to 40°C. The temperature of body at the end of 15 minutes will be​
zhuklara [117]

The question is incomplete, the complete question is;

A body initially at a all 100 degree centigarde cools to 60 degree centigarde in 5 minutes and to 40 degree centigarde in 10 minutes . What is the temperature of surrounding? What will be the temperature in 15 minutes?

Answer:

See explanation

Explanation:

From Newton's law of cooling;

θ1 - θ2/t = K(θ1 + θ2/2 - θo]

Where;

θ1 and θ2 are initial and final temperatures

θo is the temperature of the surroundings

K is the constant

t is the time taken

Hence;

100 - 60/5 = K(100 + 60/2 - θo)

100 - 40/10 = K(100 + 40/2 - θo)

8= (80 - θo)K -----(1)

6= (70 - θo)K -----(2)

Diving (1) by (2)

8/6 = (80 - θo)/(70 - θo)

8(70 - θo) = 6(80 - θo)

560 - 8θo = 480 - θo

560 - 480 = -θo + 8θo

80 = 7θo

θo = 11.4°

Again from Newton's law of cooling;

θ = θo + Ce^-kt

Where;

t= 0, θ = 60° and θo = 11.4°

60 = 11.4 + C e^-K(0)

60 - 11.4 = C

C= 48.6°

To obtain K

40 = 11.4 + 48.6e^-10k

40 -11.4 = 48.6e^-10k

28.6/48.6 = e^-10k

0.5585 = e^-10k

-10k = ln0.5585

k= ln0.5585/-10

K= 0.0583

Hence, the temperature in 15 minutes;

θ= 11.4 + 48.6e^(-0.0583 × 15)

θ= 31.7°

4 0
3 years ago
Objects in free fall accelerate due to ______
Charra [1.4K]

Answer:

The correct answer is A.

Objects in free fall accelerate due to <u>gravity</u>.

Explanation:

Momentum can help an object to keep its state of motion at a constant velocity when no external force is applied. It can never accelerate the object.

According to the laws of motion, we know that acceleration is produced in a body only when a Force is applied in the direction of motion of body.

During a free fall, only the force of gravity is acting on an object and that too in the direction of its motion. Hence, the acceleration produced in a free falling object is due to gravity.

3 0
3 years ago
Other questions:
  • Mechanical (sound) waves are unable to travel through a vacuum, such as through space, but radio waves are transmitted to Earth
    14·2 answers
  • An arrow of mass 415 g is shot at a target with a speed of 68.5m/s. The target, which has a mass of 3.3 kg, is moving toward the
    5·1 answer
  • What do most scientists think causes Bovine Spongiform Encephalopathy (Mad Cow Disease)?
    6·2 answers
  • A student was heard saying "the mass of a ball on the moon is one sixth it's mass on earth"Give a reason why this statement is w
    14·2 answers
  • Which list ranks these jobs in the STEM career cluster based on years of schooling required, from most to least? Biochemist → Ar
    5·1 answer
  • Which law is this As you pedal your bicycle harder, the bicycle goes faster.
    8·1 answer
  • 1.
    14·1 answer
  • How long does it take a car traveling at 50 mph to travel 75 miles? Use one of the following to find the answer.
    11·1 answer
  • 8. A driver starts his parked car and within 12 hours reaches a speed of 75km/h, as he travels
    10·1 answer
  • Jason while driving on Kukum highway at 70 m.s – 1 seeing the traffic light turn red, he applies the brake and comes to rest in
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!