Home
Class 12
PHYSICS
5.6 litre of helium gas at STP is adiaba...

5.6 litre of helium gas at STP is adiabatically compressed to 0.7 litre. Taking the initial temperature to be `T_1`, the work done in the process is

A

`9/8 RT_1`

B

`3/2 RT_1`

C

`15/B RT_1`

D

`9/2 RT_1`

Text Solution

Verified by Experts

The correct Answer is:
A
Number of moles of He ` = 5.6 //22.4 = 1/4`
Now `T(5.6)^(gamma -1) = T_2 (0.7)^(gamma-1)`
`T_1 = T_2 (1/9)^(2/3) " "rArr r T_1 = T_2`
Work done ` = -(nR[T_2 - T_1])/(gamma -1) =(1)/4(R3T_1)/(2/3) = - 9/8 RT_1`
Promotional Banner

Topper's Solved these Questions

  • GASEOUS STATE & THERMODYNAMICS

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE )|81 Videos

  • ENERGY & MOMENTUM

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE) - TRUE/FALSE TYPE|1 Videos

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise JEE Advance (Archive) TRUE/FALSE|1 Videos

Similar Questions

Explore conceptually related problems

5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be T_1, the work done in the process is

5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be T_1, the work done in the process is

30 litre of a gas at STP is isothermally compressed to 6 litre. Amount of heat taken out of the gas is:

1 mole of an ideal gas A ( C_(v,m)=3R ) and 2 mole of an ideal gas B are (C_(v.m)= (3)/(2)R) taken in a constainer and expanded reversible and adiabatically from 1 litre of 4 litre starting from initial temperature of 320K. DeltaE or DeltaU for the process is (in Cal)

1 mole of an ideal gas A(C_(v.m)=3R) and 2 mole of an ideal gas B are (C_(v,m)=(3)/(2)R) taken in a container and expanded reversible and adiabatically from 1 litre of 4 litre starting from initial temperature of 320 K. DeltaE or DeltaU for the process is :

A gas (C_(v.m) = (5)/(2)R) behaving ideally is allowed to expand reversibly and adiabatically from 1 litre to 32 litre. Its initial temperature is 327^(@)C . The molar enthalpy change (in J//mol ) for the process is :

One litre of dry air STP undergoes through an adiabatic process and reaches to a final temperature of 89.6 °C, the work done by air is : [Take air to be an ideal gas and gamma_("air")=1.4 use R =8.3J mol^(-1)K^(-1)]

One litre of dry air STP undergoes through an adiabatic process and reaches to a final temperature of 89.6 °C, the work done by air is : [Take air to be an ideal gas and gamma_("air")=1.4 use R =8.3J mol^(-1)K^(-1)]

n moles of a gas are filled in a container at temperature T. If the gas is slowly and isothermally compressed to half its initial volume, the work done by the atmosphere on the gas is

One litre of a gas at STP weight 1.16 g it can possible be

VMC MODULES ENGLISH-GASEOUS STATE & THERMODYNAMICS-JEE ADVANCED (ARCHIVE )
  1. An ideal gas is expanding such that PT^2= constant. The coefficient of...

    Text Solution

    |

  2. A real gas behaves like an ideal gas if its

    Text Solution

    |

  3. 5.6 litre of helium gas at STP is adiabatically compressed to 0.7 litr...

    Text Solution

    |

  4. A mixture of 2 moles of helium gas ( (atomic mass)=4a.m.u ) and 1 mole...

    Text Solution

    |

  5. Two moles of ideal helium gas are in a rubber balloon at 30^@C. The ba...

    Text Solution

    |

  6. Two non-reactive monoatomic ideal gases have their atomic masses in th...

    Text Solution

    |

  7. A gas is enclosed in a cylinder with a movable frictionless piston. It...

    Text Solution

    |

  8. For an ideal gas

    Text Solution

    |

  9. An ideal gas is taken from the state A (pressure p, volume V) to the s...

    Text Solution

    |

  10. During the melting of a slab of ice at 273 K a atmospheric pressure

    Text Solution

    |

  11. Let barv,v(rms) and vp respectively denote the mean speed. Root mean s...

    Text Solution

    |

  12. Cv and Cp denote the molar specific heat capacities of a gas at consta...

    Text Solution

    |

  13. The figure shows the P-V plot of an ideal gas taken through a cycle AB...

    Text Solution

    |

  14. One mole of an ideal gas in initial state A undergoes a cyclic process...

    Text Solution

    |

  15. A container of fixed volume has a mixture of a one mole of hydrogen an...

    Text Solution

    |

  16. An ideal monatomic gas is confined in a horizontal cylinder by a sprin...

    Text Solution

    |

  17. A flat plate is moving normal to its plane through a gas under the act...

    Text Solution

    |

  18. One mole of a monatomic ideal gas undergoes a cyclic process as shown ...

    Text Solution

    |

  19. A mixture of ideal gas containing 5 moles of monatomic gas and 1 mole ...

    Text Solution

    |

  20. One mole of a monatomic ideal gas goes through a thermodynamic cycle, ...

    Text Solution

    |