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Chemistry Part-I

States of Matter

Payload is defined as the difference between the mass of displ

Chemistry Part-I

Class 11

NCERT

Chapter 1: Some Basic Concepts of Chemistry

44 questions

Chapter 2: Structure of Atom

85 questions

Chapter 3: Classification of Elements and Periodicity in Properties

50 questions

Chapter 4: Chemical Bonding and Molecular Structure

44 questions

Chapter 5: States of Matter

28 questions

Calculate the total pressure in a mixture of 8 g of dioxygen and 4 g of dihydrogen confined in a vessel of 1 dm

^{3}

at 27

^{\circ} C

. (R = 0.083 bar dm

^{3}

^{- 1}

mol

^{- 1}

)

Payload is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the payload, when a balloon of radius 10 m of mass 100 kg is filled with helium at 1.66 bar at 27

^{\circ} C

. (Density of air = 1.2 kg m

^{3}

and R = 0.083 bar dm

3

^{- 1}

mol

^{- 1}

)

Calculate the volume occupied by 8.8 g of CO

_{2}

at 31.1

^{\circ} C

and 1 bar pressure. (R = 0.083 bar L K

^{- 1}

mol

^{- 1}

)

View all question

Chapter 6: Thermodynamics and Thermochemistry

36 questions

Chapter 7: Equilibrium

101 questions

Question

Hard

Solving time: 6 mins

Payload is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the payload, when a balloon of radius 10 m of mass 100 kg is filled with helium at 1.66 bar at 27 $^{\circ} C$ . (Density of air = 1.2 kg m $^{3}$ and R = 0.083 bar dm $3$ K $^{- 1}$ mol $^{- 1}$ )

Name: Video solution 1: [Solved] Payload is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the payload, when a balloon of radius 10 m of mass 100 kg is filled with helium at 1.66 bar at 27 ∘C. (Density of air = 1.2 kg m3 and R = 0.083 bar dm 3 K−1 mol−1) - Chemistry Part-I
Uploaded: 2023-07-02T12:03:59.000Z
Duration: 12 min
Description: Video solution 1: [Solved] Payload is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the payload, when a balloon of radius 10 m of mass 100 kg is filled with helium at 1.66 bar at 27 ∘C. (Density of air = 1.2 kg m3 and R = 0.083 bar dm 3 K−1 mol−1) - Chemistry Part-I

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Updated on: Jul 2, 2023

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Chemistry Part-I (NCERT)

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Evelyn Discussed

^{\circ} C

. (Density of air = 1.2 kg m

^{3}

and R = 0.083 bar dm

3

^{- 1}

mol

^{- 1}

)

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

The volume of the balloon is

V = \frac{4}{3} π r^{3}

.
The radius of balloon is 10 m.
Hence, the volume of the balloon is

V = \frac{4}{3} \times 3.1416 \times (10)^{3} = 4186.7 m^{3}

.
The mass of displaced air is obtained from the product of volume and density. It is

4186.7 \times 1.2 = 5024.04 k g

The number of moles of gas present are

n = \frac{P V}{RT}

= \frac{1.666 \times 4186.7 \times 1 0 ^{3}}{0.083 \times 300} = 279.11 \times 1 0^{3}

Note: Here, the unit of volume is changed from

m^{3}

d m^{3}

1 m^{3} = 1000 d m^{3}

Mass of helium present is obtained by multiplying the number of moles with molar mass. It is

279.11 \times 1 0^{3} \times 4 = 1116.44 \times 1 0^{3} g = 1116.4

kg.
The mass of filled balloon is the sum of the mass of the empty ballon and the mass of He. It is

100 + 1116.4 = 1216.4

kg.
Pay load

=

mass of displaced air

-

mass of balloon

= 5024.04 - 1216.44 = 3807.6

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Practice more questions from Chemistry Part-I (NCERT)

Calculate the total pressure in a mixture of 8 g of dioxygen and 4 g of dihydrogen confined in a vessel of 1 dm

^{3}

at 27

^{\circ} C

. (R = 0.083 bar dm

^{3}

^{- 1}

mol

^{- 1}

)

^{\circ} C

. (Density of air = 1.2 kg m

^{3}

and R = 0.083 bar dm

3

^{- 1}

mol

^{- 1}

)

Calculate the volume occupied by 8.8 g of CO

_{2}

at 31.1

^{\circ} C

and 1 bar pressure. (R = 0.083 bar L K

^{- 1}

mol

^{- 1}

)

View all

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Question Text	Payload is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the payload, when a balloon of radius 10 m of mass 100 kg is filled with helium at 1.66 bar at 27 $^{\circ} C$ . (Density of air = 1.2 kg m $^{3}$ and R = 0.083 bar dm $3$ K $^{- 1}$ mol $^{- 1}$ )
Updated On	Jul 2, 2023
Topic	States of Matter
Subject	Chemistry
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	149
Avg. Video Duration	12 min

Text solutionVerified

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Payload is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the payload, when a balloon of radius 10 m of mass 100 kg is filled with helium at 1.66 bar at 27 ∘C. (Density of air = 1.2 kg m3 and R = 0.083 bar dm 3 K−1 mol−1)

Text solutionVerified

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