Home
Class 11
CHEMISTRY
A balloon containing 1 mole air at 1 atm...

A balloon containing 1 mole air at 1 atm initially is filled further with air till pressure increases to 4 atm. The intial diameter of the ballon is 1 m and the pressure at each stage is proportional to diameter of the balloon. How many moles of air added to change the pressure from 1 atm to 4 atm.

A

80

B

257

C

255

D

256

Text Solution

Verified by Experts

The correct Answer is:
c
(c) `P prop d, p=kd and k=(1 "atm")/(1 "metre")`
`PV=nRT, kd((1)/(6)pid^(3))=nRT,`
`(d_(1)^(4))/(d_(2)^(4))=(n_(1))/(n_(2)),(1)/(4^(4))=n_(1)//n_(2),n_(2)=256`
no. of moles added=256 - 1 =255
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GASEOUS STATE

    NARENDRA AWASTHI|Exercise Level 1 (Q.31 To Q.60)|1 Videos

  • GASEOUS STATE

    NARENDRA AWASTHI|Exercise Level 1 (Q.121 To Q.150)|1 Videos

  • ELECTROCHEMISTRY

    NARENDRA AWASTHI|Exercise Level 3 - Subjective Problems|1 Videos

  • IONIC EEQUILIBRIUM

    NARENDRA AWASTHI|Exercise Exercise|196 Videos

Similar Questions

Explore conceptually related problems

A balloon containing 1 mole air at 1 atm initially is filled further with air till pressure increases to 3 atm. The intial diameter of the balloon is 1 m and the pressure at each state is proportion to diameter of the balloon. Calculate ( a) No. of moles of air added to change the pressure from 1 atm to 3 atm. ( b) balloon will burst if either pressure increases to 7 atm or volume increases to 36 pi m^(3) .Calculate the number of moles of air that must be added after initial condition to burst the balloon.

A spherical balloon contains air at pressure P_(1) and is placed in vacuum. It has an initial diameter of D_(1) . The balloon is heated until its diameter becomes D_(2) = 2D_(1) . It is known that pressure in the balloon is proportional to its diameter. Calculate the work done by the gas in expansion.

Knowledge Check

  • A balloon is 1m in diameter and contain air at 25^(@)C and 1 bar pressure. It is filled with air isothermally and reversibly until the pressure reaches 5bar. Assume pressure is propotional to diameter of ballon. Calulate work done by air (atm ,m^(3))

    A
    `78pi`
    B
    `156pi`
    C
    `624pi`
    D
    `625pi`

  • A spherical balloon contains 1 mole of He at T_(0) . The balloon material is such that the pressure inside is alwaus proportional to square of diameter. When volume of balloon becomes 8 times of initial volume, then :-

    A
    Work done by gas `(93RT_(0))/(5)`
    B
    Final temperature of the gas is `32T_(0)`
    C
    Heat taken by gas `65. 1 RT_(0)`
    D
    Heat given by gas` 65.1 RT_(0)` where R is universal gas constant.

  • A spherial balloon contains air at temperature T_(0) and pressure P_(0) . The balloon material is such that the instantaneous pressure inside is proportional to the square of the diameter. When the volume of the balloon doubles as a result of heat transfer, the expansion follows the law

    A
    `PV =` constant
    B
    `PV^(2//5) =` constant
    C
    `PV^(-1) =` constant
    D
    `PV^(-2//3) =` constant

    • Similar Questions

    Explore conceptually related problems

    Volume of 0.5 mole of a gas at 1 atm. pressure and 273^@C is

    Volume of 0.5 mole of a gas at 1 atm. Pressure and 273 K is

    How many moles of Helium gas occupy 22.4 L at 0^(@)C at 1 atm pressure?

    At 35^@C the vapour of pure chlorofrom si 0.359 atm and that of pure acetone is 0.453 atm.Asolution containing 1 mole of chloroform and 4 mole of acetone has a vapoor pressure of (in atm)

    At 35^(@)C the vapour pressure of pure chloroform is 0.359 at atm and that of pure acetone is 0.453 atm. A solution containing 1 mole of chloroform and 4 mole of acetone has a vapour pressure of (in atm)

    Home
    Profile