Home
Class 11
CHEMISTRY
A balloon of diameter 21 meter weight 10...

A balloon of diameter 21 meter weight 100 kg. Calculate its pay-load, if it is filled with He at 1.0 atm and 27°C. Density fair is 1.2 `kg m^(-3)` (Given : R = 0.0821 L atm `K^(-1) mol^(-1))`

A

4952.42 kg

B

4932.42 kg

C

493.242 kg

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Vol. of ballon `= 4/3 pi r^ = 4851 ` litre.
wt. of balloon = `10^5` gm.
wt of the in balloon = `(pvm)/(RT) = 78.87 xx 10^4 gm`.
Total wt of gas and balloon = `88.87 xx 10^4 gm`
wt of air displaced = `1.2 xx 4851 = 5821.2 kg`.
Payload = `W_(("air displaced")("Balloon + gas"))`
`= 5821.2 - 888.7 = 4932.42 kg .
Promotional Banner

Topper's Solved these Questions

  • STATES OF MATTER

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II)(LECTURE SHEET ADVANCED) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|6 Videos

  • STATES OF MATTER

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II)(LECTURE SHEET ADVANCED) (LINKED COMPREHENSION TYPE QUESTIONS)|5 Videos

  • STATES OF MATTER

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - I MAIN) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|11 Videos

  • SATURATED HYDROCARBONS

    AAKASH SERIES|Exercise QUESTIONS FOR DESCRIPTIVE ANSWERS|10 Videos

  • STOICHIOMETRY

    AAKASH SERIES|Exercise QUESTIONS FOR DESCRIPTIVE ANSWERS|59 Videos

Similar Questions

Explore conceptually related problems

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

What is the density of N_2 gas at 227^@ C and 5.00atm. pressure? (R = 0.082 L atm K^(-1) mol^(-1))

For a van der Waal's gas, determine Boyle Temperature (given a = 4.5 atm L^2 mol^(-2) , b = 0.9 L mol^(-1) and R = 0.082 L atm K^(-1) mol^(-1) ]

What is the density (in "g lit"^(-1)) of CO_2 , at 400 K and exerting a pressure of 0.0821 atm (R = 0.0821 "lit atm mol"^(-1) k^(-1))

The density of a gas is 2g/L at 1 atm and 27^@C . The density of the same gas at 2 atm and 127^@C is

What is the density of water at a depth where pressure is 80.0 atm, given that its density at the surface is 1.03xx103" kg m"^(-3) ?

The volume of 2.8g of carbon monoxide at 27^@C and 0.821 atm pressure is (R= 0.0821 "lit-atm" mol^(-1) K^(-1))

AAKASH SERIES-STATES OF MATTER-ADDITIONAL PRACTICE EXERCISE (LEVEL - II)(LECTURE SHEET ADVANCED) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. A balloon of diameter 21 meter weight 100 kg. Calculate its pay-load, ...

    Text Solution

    |

  2. Let u(av), u(rms) and u(mp) are average, root means square and mo...

    Text Solution

    |