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

`3xx10^(4)J`

B

`5xx10^(4)J`

C

`6xx10^(4)J`

D

`7xx10^(4)J`

Text Solution

Verified by Experts

The correct Answer is:
B

Thermal energy correspods to internal energy
Mass=1kg, Density
`=4kgm^(-3)`
`rArr" " "Volume"=("mass")/("density")=(1)/(4)m^(3)`
pressure=`8xx10^(4)Nm^(-2)`
`therefore` Internal energy `=(5)/(2)PxxV=(5)/(2)xx(8xx10^(4))/(4)=50+10^(4)"Joule"`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES ANDRADIATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2|50 Videos
  • KINETIC THEORY OF GASES ANDRADIATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|40 Videos
  • KINETIC THEORY OF GASES ANDRADIATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|40 Videos
  • INTERFERENCE AND DIFFRACTION OF LIGHT

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|24 Videos
  • MAGNETIC EFFECT OF ELECTRIC CURRENT

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|20 Videos

Similar Questions

Explore conceptually related problems

Two kg of a monoatomic gas is at a pressure of 4 xx 10^(4) N//m^(2) . The density of the gas is 8 kg//m^(3) . What is the order of energy of the gas due to its thermal motion ?

An ideal gas occupies a volume of 2m^(3) at a pressure of 3xx10^(6) p,a the energy of the gas is :

A closed vessel 10L in volume contains a diatomic gas under a pressure of 10^5N//m^2 . What amount of heat should be imparted to the gas to increase the pressure in the vessel five times?

A balloon inflated with helium gas (density = 0.2 kg//m^(3) ) has a volume of 6 xx 10^(-3) m^(3) . If the density of air is 1.3 kg//m^(3) . What is the buoyant force exerted on the balloon ?

Assertion : A given mass of a gas is subjected to an external pressure of 0.5xx10^(10) N//m^(2) , the bulk modulus of the gas is 0.5xx10^(10) N//m^(2) . The ratio of the density of the gas before and after applying the external pressure is 1 : 1 Reason : Pressure is inversely proportional to density of gas and bulk modulus is inversely proportional to change in volume

One mole of an ideal monoatomic gas occupies a volume of 1.0xx10^-2m^3 at a pressure of 2.0xx10^5N//m^2 . (a) What is the temperature of tha gas? (b) The gas undergoes an adiabatic compression until its volume is decreased to 5.0xx10^-3m^3 . What is the new gas temperature? (c) How much work is done on the gas during the compression? (d) What is the change in the intenal energy of the gas?

For a steel rod, the Young's modulus of elasticity is 2.9xx10^(11)N//m^(2) , and the density of steel is 8xx10^(3)kg//m^(3) .What is the velocity of longitudinal waves in steel?

A gas is compressed from 10 m^3 volume to 4m^3 volume at constant pressure of 50 N//m^(2) . Then the gas is heated by giving it 100 Joules of energy. The internal energy of the gas will

A cylinder contains 12kg of gas at presssure of 10^7 N/ m^2 . The qunatity of gas taken out of the cylinder, if final pressure is 3 Χ 10^6 N/ m^2 , will be (temperature of gas is constant)

12 g of gas occupy a volume of 4xx10^(-3) m^(3) at a temperature of 76^(@)C .after the gas is heated at constant pressure, its density becomes 6xx10^(-4) g//cm^(3) .What is the temperature to which the gas was heated?

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-KINETIC THEORY OF GASES ANDRADIATION-Exercise 1
  1. Two vessels A and B having equal volume contain equal masses of hydrog...

    Text Solution

    |

  2. One mole of diatomic ideal gas undergoes a cyclic process ABC as show ...

    Text Solution

    |

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

    Text Solution

    |

  4. A sealed container with negiligible coefficient of volumetric expansio...

    Text Solution

    |

  5. At what temperarture, the kinetic energy of a gas molecule is half of ...

    Text Solution

    |

  6. Two perfect monoatomic gases at absolute temperature T(1) and T(2) are...

    Text Solution

    |

  7. The kinetic energy of one mole gas at 300 K temperature , is E. at 400...

    Text Solution

    |

  8. How much should the pressure be increased in order to decrease the vol...

    Text Solution

    |

  9. For a gas the differce between the two specific heat is 4150 J//kg K. ...

    Text Solution

    |

  10. A molecule of a gas has six degrees of freedom Then , the molar specif...

    Text Solution

    |

  11. Which one of the following gases possesses the largest internal energy

    Text Solution

    |

  12. Value of two principal specific heats of a gas ("in cal mol" K)^(-1) d...

    Text Solution

    |

  13. Caluculate Change in internal energy when 5 moles of hydrogen is heate...

    Text Solution

    |

  14. Each molecule of a gas has F degrees of freedom . The ratio (C(p))/(C(...

    Text Solution

    |

  15. The adiabatic elasticity of hydrogen gas (gamma=1.4) at NTP

    Text Solution

    |

  16. if quantity of heat 1163.4 J supplied to one mole of nitrogen gas , at...

    Text Solution

    |

  17. using euipartion of energy, the specific heat (in Jkg^(-1)K^(-1))of a...

    Text Solution

    |

  18. For a gas if ratio of specific heats at constant pressure and volume i...

    Text Solution

    |

  19. One mole of an ideal monoatomic gas requires 207 J heat to raise the t...

    Text Solution

    |

  20. Which of the given substances A B and C have more specific heat ?

    Text Solution

    |