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
Mariulka [41]
3 years ago
9

The mass of a hot-air balloon and its cargo (not including the air inside) is 170 kg. The air outside is at 10.0°C and 101 kPa.

The volume of the balloon is 530 m3. To what temperature must the air in the balloon be warmed before the balloon will lift off? (Air density at 10.0°C is 1.244 kg/m3.)
Physics
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

108.37°C

Explanation:

P₁ = Initial pressure = 101 kPa

V₁ = Initial volume = 530 m³

T₁ = Initial temperature = 10°C = 10+273.15 =283.15 K

P₂ = Final pressure = 101 kPa (because it is open to atmosphere)

V₂ = Final volume = 530 m³

P₁V₁ = n₁RT₁

⇒101×530 = n₁RT₁

⇒53530 J = n₁RT₁

P₂V₂ = n₂RT₂

⇒53530 J = n₂RT₂

\frac{m_1}{m_2}=\frac{\rho V_1}{\rho V_1-170}\\\Rightarrow \frac{m_1}{m_2}=\frac{1.244\times 530}{1.244\times 530-170}=1.347\\\Rightarrow \frac{m_1}{m_2}=1.347\\\Rightarrow \frac{n_1}{n_2}=1.347

Dividing the first two equations we get

1=\frac{n_1}{n_2}\frac{T_1}{T_2}\\\Rightarrow 1=1.347\frac{283.15}{T_2}\\\Rightarrow T_2=1.347\times 283.15= 381.52\ K

∴Temperature must the air in the balloon be warmed before the balloon will lift off is 381.25-273.15 = 108.37°C

You might be interested in
Students in a lab are doing experiments involving the motion of objects. They pull an object across a table and use
Svetlanka [38]

Answer:

Explanation:

Did you ever end up getting an answer? Or like did you find out which segment it was?

5 0
2 years ago
Which object has the least amount of Kinect energy
Angelina_Jolie [31]

Answer: Could you please add the answer choices.

Explanation:

Thank you :)

6 0
3 years ago
If the car went 30 km west in 25 min. and then 40 km south in 35 min., what would be its average speed?
Alika [10]
The total distance is 70km.
The total time is 60 minutes or 1 hour.
Speed=Distance÷Time
=70÷1
=70km/h
8 0
2 years ago
Read 2 more answers
A polo player hits a ball with a mass of 0.42 kg with a force of 7.35 Newtons.
Serga [27]
Due to the law of conservation of momentum, the force exerted on the mallet is equal and opposite to the force exerted on the ball, so the answer is C.
4 0
2 years ago
Read 2 more answers
g Describe how an electron can possess the properties of both a particle and a wave. How do the wave properties of electrons rel
nalin [4]

Answer:

See explanation

Explanation:

According to Louis de Broglie, matter has an associated wavelength. Hence, there exist no clear cut difference between matter and wave. Matter may be regarded as a wave and vice versa depending on the behavior of each under the given circumstances.

According to Heisenberg uncertainty principle, the position and momentum of matter can not be simultaneously determined with precision. This further reinforces the wave-particle concept of the electron.

When electrons are passed through crystals, they are diffracted just like electromagnetic waves. This further reinforces the wave-particle paradox.

According to The Heisenberg uncertainty principle, the wave property of electrons determine their exact location in space

8 0
2 years ago
Other questions:
  • What can you predict about an element from its position in the periodic table
    5·1 answer
  • An astronaut in a spacecraft looks out her window and observes a comet travel in the opposite direction at a relative speed of 2
    8·2 answers
  • Which, if any, of the heat engines violate(s) the second law of thermodynamics?
    5·1 answer
  • To properly operate the laboratory thermometer Group of answer choices it needs to be shaken but make sure you have enough room
    7·1 answer
  • FILL IN THE BLANKS QUESTION WITH WORDS TO PLACE IN THE BLANKS PLEASE HELP
    5·1 answer
  • What do you observe when we view the orbit of the moon at our first<br> setting?
    12·1 answer
  • Which frequency would be the third harmonic in a series for an open-pipe resonator if the fundamental is 440 Hz
    5·1 answer
  • If the wavelength is 10 m and the frequency is 5 Hz, what is the wave speed?
    11·1 answer
  • a fan is rotating at 90 rpm.It is then switched off. It stops after 21 revolutions. calculate the time taken by the frictional t
    14·1 answer
  • 7th grade science i mark as brainliest
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!