Home
Class 12
PHYSICS
Air is filled at 60^(@)C in a vessel of ...

Air is filled at `60^(@)C` in a vessel of open mouth. The vessle is heated to a temperature `T` so that `1//4th` of air escapes. Assuming the volume of vessel remaining constant, the value of `T` is

A

`80^(@)C`

B

`444^(@)C`

C

`333^(@)C`

D

`171^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D
`(3)/(4)`th volume of air at `0^(@)C` occupies entire volume at `theta` ,
As `(V_(1))/(T_(1)) = (V_(2))/(T_(2)) implies (3//4V)/(273 + 60) = (V)/(273 + theta) implies theta = 171^(@)C`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE -02|82 Videos

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE -03|11 Videos

  • GEOMETRICAL OPTICS

    ALLEN |Exercise SOME WORKED OUT EXAMPLES|84 Videos

  • CURRENT ELECTRICITY

    ALLEN |Exercise EX.II|66 Videos

  • GRAVITATION

    ALLEN |Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

It is known that density rho of air decreases with height y as -y//y_(0) rho=rho_(o)e where rho_(o)=1.25kgm^(-3) is the density at sea level and y_(o) is a constant . This density variation is called the law of atmospheres. Obtain this law assuming that the temperature of atmosphere remains a constant (isothermal conditions).Also assume that the value of g remains constant. (b) A large He balloon of volume 1425m^(3) is used to lift a payload of 400 kg . Assume that the balloon maintains constant radius as it rises . How high does it rise ? (y_(o)=8000mandrho_(He)=0.18kgm^(-3)) .

It is known that density rho of air decreases with height y as rho=rho_0e^(-y//y_0) where rho_0=1.25 kg m^-3 is the density at sea level. And y_0 is a constant . This density variation is called the law of atmosphere. Obtain this law assuming that the temperature of atmosphere remains a constant (isothermal conditions). Also assume that the value of g remains constant. A large He balloon of volume 1425 m^3 is used to lift a payload of 400kg.Assume that the balloon maintains constant radius as it rises. How high does it rise?

A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated (P) by the metal. The sensor has scale that displays log_2,(P//P_0) , where P_0 is constant. When the metal surface is at a temperature of 487^@C , the sensor shows a value 1. Assume that the emissivity of the metallic surface remains constant. What is the value displayed by the sensor when the temperature of the metal surface is raised to 2767^@C ?

A vessel of volume 8.0 xx 10^(-3)m^(3) contains an ideal gas at 300 K and pressure 200 kPa . The gas is allowed to leak till the pressure falls to 125 k Pa . Calculate the amount of the gas (in moles) leaked assuming that the temperature remains constants.

A tyre pumped to a pressure of 3 atmospheres suddenly bursts. Calculate the fall in temperature due to adiabatic expansion. The temperature of air before expansion is 27^(@)C and value of gamma = 1.4 .

Entropy ( S ) is a thermodynamic variable like pressure P , volume V and temperature T . Entropy of a thermodynamic system is a measure of disorder of molecular motion. Greater is disorder , greater is entropy. Change in entropy of a thermodynamic system is the ratio of heat supplied to absolute temperature.In an adiabatic reversible process, entropy remains constant while in any irreversible process entropy increases. In nature the processes are irreversible , therefore entropy of universe is continuoulsy increasing. When milk is heated , its entropy :

Entropy ( S ) is a thermodynamic variable like pressure P , volume V and temperature T . Entropy of a thermodynamic system is a measure of disorder of molecular motion. Greater is disorder , greater is entropy. Change in entropy of a thermodynamic system is the ratio of heat supplied to absolute temperature.In an adiabatic reversible process, entropy remains constant while in any irreversible process entropy increases. In nature the processes are irreversible , therefore entropy of universe is continuoulsy increasing. The unit of entropy in S-I system is -

Entropy ( S ) is a thermodynamic variable like pressure P , volume V and temperature T . Entropy of a thermodynamic system is a measure of disorder of molecular motion. Greater is disorder , greater is entropy. Change in entropy of a thermodynamic system is the ratio of heat supplied to absolute temperature.In an adiabatic reversible process, entropy remains constant while in any irreversible process entropy increases. In nature the processes are irreversible , therefore entropy of universe is continuoulsy increasing. After a long-long time, the energy available for work done will be :

Two thermally insulated vessel 1 and 2 are filled with air at temperature (T_1T_2), volume (V_1V_2) and pressure (P_1P_2) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

A hot air balloon is a sphere of radius 8m . The air inside is at a temperature of 60^(@)C . How large a mass can the balloon lift when the outside temperature is 20^(@)C ? Assume air is an ideal gas , R =8.314J" mole"^(-1)k^(-1), 1 atm =1.013xx10^(5)Pa , the membrane tension is =5N//m .

ALLEN -GEOMETRICAL OPTICS-EXERCISE -01
  1. In a process the density of a gas remains constant. If the temperature...

    Text Solution

    |

  2. The expansion of unit mass of a perfect gas at constant pressure is sh...

    Text Solution

    |

  3. Air is filled at 60^(@)C in a vessel of open mouth. The vessle is heat...

    Text Solution

    |

  4. One mole of an ideal gas undergoes a process p=(p(0))/(1+((V(0))/(V))...

    Text Solution

    |

  5. Two identical glass bulbs are interconnected by a thin glass tube. A g...

    Text Solution

    |

  6. As shown , a piston chamber pf cross section area A is filled with ide...

    Text Solution

    |

  7. A gas has volume V and pressure p. The total translational kinetic ene...

    Text Solution

    |

  8. A mixture of n(1) moles of monoatomic gas and n(2) moles of diatomic g...

    Text Solution

    |

  9. Four containers are filled with monoatomic ideal gases. For each conta...

    Text Solution

    |

  10. 10^(23) molecules of a gas strike a target of area 1 m^(2) at angle 45...

    Text Solution

    |

  11. From the following V-T diagram we can conclude:-

    Text Solution

    |

  12. The density in grams per litre of ethylene (C(2)H(4)) at STP is :-

    Text Solution

    |

  13. A gas is expanded from volume V(0) = 2V(0) under three different proce...

    Text Solution

    |

  14. Some of the thermodynamic parameters are state variables while some ar...

    Text Solution

    |

  15. For an ideal gas PT^(11) = constant then volume expansion coefficient ...

    Text Solution

    |

  16. The internal energy of a gas is given by U= 5 + 2PV. It expands from V...

    Text Solution

    |

  17. When water is heated from 0^(@)C to 4^(@)C and C(P) and C(V) are its s...

    Text Solution

    |

  18. The molar specific heat of the process V alpha T^(4) for CH(4) gas at...

    Text Solution

    |

  19. 5"n", n and 5"n" moles of a monoatomic, diatomic and non-linear polyat...

    Text Solution

    |

  20. The relation between U, p and V for an ideal gas in an adiabatic proce...

    Text Solution

    |