Home
Class 12
PHYSICS
One kg of a diatomic gas is at pressure ...

One kg of a diatomic gas is at pressure of `8xx10^4N//m^2`. The density of the gas is `4kg//m^3`. What is the energy of the gas due to its thermal motion?

A

`6 xx 10^(4)J`

B

`7 xx 10^(4)J`

C

`3 xx 10^(4)J`

D

`5 xx 10^(4)J`

Text Solution

Verified by Experts

The correct Answer is:
C

Energy of the diatomic gas `(5)/(2)nRT = (5)/(2)PV = (5)/(2)xx 8 xx 10^(4) xx (1)/(4) = 5 xx 10^(4)J`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE - 05 (B)|58 Videos
  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE - 05 (B) (MCQ)|9 Videos
  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE - 04 (B)|15 Videos
  • CURRENT ELECTRICITY

    ALLEN |Exercise EX.II|66 Videos
  • GRAVITATION

    ALLEN |Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

An ideal gas has a specific heat at constant pressure C_P=(5R)/2 . The gas is kept in a closed vessel of volume 0.0083m^3 , at a temperature of 300K and a pressure of 1.6xx10^6 N//m^2 . An amount of 2.49xx10^4 Joules of heat energy is supplied to the gas. Calculate the final temperature and pressure of the gas.

An ideal gas has a specific heat at constant pressure C_P=(5R)/2 . The gas is kept in a closed vessel of volume 0.0083m^3 , at a temperature of 300K and a pressure of 1.6xx10^6 N//m^2 . An amount of 2.49xx10^4 Joules of heat energy is supplied to the gas. Calculate the final temperature and pressure of the gas.

For a certain process pressure of diatomic gas varies according to the relation P=aV^(2) , where a is constant. What is the molar heat capacity of the gas for this process?

Two cylinders A and B of equal capacity are connected to each other via a stopcock. A contains a gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. Answer the following: (a) What is the final pressure of the gas in A and B ? (b) What is the change in internal energy of the gas ? (c) What is the change in the temperature of the gas ? (d) Do the intermediate states of the system (before settling to the final equilibrium state) lie on its P-V-T surface ?

2m^(3) volume of a gas at a pressure of 4xx10^(5) Nm^(-2) is compressed adiabatically so that its volume becomes 0.5m^(3) Find the new pressure . Compare this with the pressure that would result if the compression was isothermal. Calculate work done in each gamma = 1.4

One mole of ideal monoatomic gas (gamma=5//3) is mixed with one mole of diatomic gas (gamma=7//5) . What is gamma for the mixture? gamma Denotes the ratio of specific heat at constant pressure, to that at constant volume

When water is boiled at 2 atm pressure the latent heat of vaporization is 2.2xx10^(6) J//kg and the boiling point is 120^(@)C At 2 atm pressure 1 kg of water has a volume of 10^(-3)m^(-3) and 1 kg of steam has volume of 0.824m^(3) . The increase in internal energy of 1 kg of water when it is converted into steam at 2 atm pressure and 120^(@)C is [ 1 atm pressure =1.013xx10^(5)N//m^(2) ]

ALLEN -GEOMETRICAL OPTICS-EXERCISE - 05 (A)
  1. An insulated container of gas has two chambers separated by an insulat...

    Text Solution

    |

  2. Velocity of sound in O(2) gas is 460 ms^(-1) at certain temperature. ...

    Text Solution

    |

  3. One kg of a diatomic gas is at pressure of 8xx10^4N//m^2. The density ...

    Text Solution

    |

  4. 100g of water is heated from 30^@C to 50^@C. Ignoring the slight expan...

    Text Solution

    |

  5. Three perfect gases at absolute temperature T(1), T(2) and T(3) are mi...

    Text Solution

    |

  6. The specific heat capacity of a metal at low temperature (T) is given ...

    Text Solution

    |

  7. A container with insulating walls is divided into two equal parts by a...

    Text Solution

    |

  8. Which statements is incorrect?

    Text Solution

    |

  9. If mass-energy equivalence is taken into account , when water is coole...

    Text Solution

    |

  10. Even Carnot engine cannot give 100% efficiency because we cannot

    Text Solution

    |

  11. "Heat cannot by itself flow from a body at lower temperature to a body...

    Text Solution

    |

  12. Which of the following parameters does not characterize the thermodyna...

    Text Solution

    |

  13. A Carnot engine takes 3xx10^6 cal of heat from a reservoir at 627^@C a...

    Text Solution

    |

  14. Which of the following statements is correct for any thermodynamic sys...

    Text Solution

    |

  15. Two thermally insulated vessel 1 and 2 are filled with air at temperat...

    Text Solution

    |

  16. Which of the following is incorrect regarding the first law of thermod...

    Text Solution

    |

  17. The temperature -entropy diagram of a reversible engine cycle is given...

    Text Solution

    |

  18. A system goes from A and B via two processes. I and II as shown in fig...

    Text Solution

    |

  19. Two rigid boxes containing different ideal gases are placed on a table...

    Text Solution

    |

  20. The work of 146 kJ is performed in order to compress one kilo mole of ...

    Text Solution

    |