Balloons need to contain gas lighter than air to float. Water is lighter than air when vaporized (18 g/mol vs. 28.9 g/mol) A) 12 g of water are vaporized and raised to 130C, then contained in a perfectly insulated balloon which holds it at a pressure of 1.5 atm. What volume does the balloon take up once inflated in this manner? B) The balloon is then placed in a vacuum chamber containing only 12 g of ice at -10 C. The balloon is popped and the steam intermingles with the ice. What remains in the chamber after the system has come to thermal equilibrium?L fusion = 333 kJ/kg, L vap = 2260 kJ/kg, c steam = 2090 J/kg*C,c water = 4186 J/kg* C, c ice = 2010 J/kg* C

Question
Asked Sep 22, 2019
71 views
Balloons need to contain gas lighter than air to float. Water is lighter than air when vaporized (18 g/mol vs. 28.9 g/mol)
 
A) 12 g of water are vaporized and raised to 130C, then contained in a perfectly insulated balloon which holds it at a pressure of 1.5 atm. What volume does the balloon take up once inflated in this manner?
 
B) The balloon is then placed in a vacuum chamber containing only 12 g of ice at -10 C. The balloon is popped and the steam intermingles with the ice. What remains in the chamber after the system has come to thermal equilibrium?
L fusion = 333 kJ/kg, L vap = 2260 kJ/kg, c steam = 2090 J/kg*C,
c water = 4186 J/kg* C, c ice = 2010 J/kg* C
check_circle

Expert Answer

Step 1

Given information:

Gram molecular weight of water (GMW) = 18 g

Weight of vapour filled in the balloon (w) = 12 g

Pressure at which it is filled (P) = 1.5 atm

Temperature at which the vapour exists (t) = 130 0C

Step 2

Volume occupied by the vapour at the given conditions be (V) =?

We know that a pressure of 1 atm = 101325 N/m2

Then the pressure 1.5 atm = 151987.5 N/m2

Universal gas constant (R) = 8.314 J/mol. K

Given temperature in kelvin scale is (T) = t + 273 0K = 130 + 273 = 403 0K

We know that the ideal gas equation is:

help_outline

Image Transcriptionclose

PV nRT 12 0.66 mol Where "n" is number of moles _ 11 GMW 18 Substituting the corresponding values in ideal gas equation and solve V we get: (0.66)x(8.314)x(403) nRT 0.0145 m3 V P 151987.5

fullscreen
Step 3

Part B:

Given information:

Mass of ice (M) = 12 g = 0.012 kg

Mass of steam (m) = 12 g = 0.012 kg

Temperature of ice (Tice) = -10 0C

Temperature of water (Tsteam) = 130 0C

L fusion = 333 kJ/kg, L vapour = 2260 kJ/kg,

 

Csteam = 2090 J/kg...

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

Science

Physics

Thermodynamics

Related Physics Q&A

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

Q: If a golf ball has a mass of 9.10 g is traveling at a speed of 1.24 km/s, determine the following (r...

A: Given information:The mass of the golf ball (m) = 9.10 g = 0.0091 kgVelocity of the golf ball (v) = ...

question_answer

Q: Angular Momentum around CM In the class I claimed that regardless of the motion of an extended objec...

A: Net torque around the centre of mass is,

question_answer

Q: For each of the following motions identify the axis of motion and the plane of the movement: A). Sho...

A: Part AShoulder Flexion------ Axis: x-axis                                   Plane: y-z plane

question_answer

Q: A 26.0 kg box of textbooks rests on a loading ramp that makes an angle α with the horizontal. The co...

A: Draw the free body diagram of the box resting on a loading ramp that makes an angle α with the horiz...

question_answer

Q: A stone is thrown vertically upwards with at speed v and returns to the ground.  I already know that...

A: Given information:The body is thrown vertically up with a velocity (v) and it is known that the acce...

question_answer

Q: Downloadable eTextbook ORION Gradebook Assignment ent ВАСК NEX PRINTER VERSION FULL SCREEN Chapter 2...

A: Given information:The potential energy(U) is to be increased by 64 %The increase in Voltage(V) is =?

question_answer

Q: An Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. ...

A: Given,

question_answer

Q: Vector Addition Problem. Small plane flies 40km in a direction 60⁰ north of east and then flies 30km...

A: refer the above vector diagram to write the displacement vector

question_answer

Q: Each of the four parts of this problem depicts a motion diagram for a charged particle moving throug...

A: From the motion diagram in 1st case, the length of the vector is decreasing towards the left. This m...