Home
Class 11
PHYSICS
A 2.00 mL volume container contains 50 m...

A `2.00 mL` volume container contains `50 mg` of gas at a pressure of `100 kPa`. The mass of each gas particle is `8.0 xx 10^-26 kg`. Find the average translational kinetic energy of each particle

Text Solution

Verified by Experts

The correct Answer is:
A, B, D

`K_T = 3/2 k T= 3/2 k((p V)/(n R))`
=`3/2 k (p V)/((M//N_A)R)`
= `(3 k P V m N_A)/(2 M R)`
`(3 xx 1.38 xx10^-23) (100 xx 10^3)`
= `((2 xx 10^-6)(8.0 xx 10^-23)(6.02 xx 10^23))/(2 xx (50 xx 10^-3)(8.31))`
= `4.8 xx 10^-22 J`.
Promotional Banner

Topper's Solved these Questions

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 2 Single Correct|12 Videos
  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 2 More Than One Correct|7 Videos
  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 1 Objective|10 Videos
  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise Medical entrance gallary|30 Videos
  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Assertion And Reason|2 Videos

Similar Questions

Explore conceptually related problems

If the volume of a gas is doubled at constant pressure, the average translational kinetic energy of its molecules will

The pressure of a gas in a 100 mL container is 200 kPa and the. Average translational kinetic energy of each gas particle is 6 xx 10^-21 J . Find the number of gas particles in the container. How many moles are there in the container ?

An ideal gas is in a container of volume V_0 at pressure P_0 If the same amount of gas is in container of volume 3V_0 at pressure P_0 . then the ratio of final average translational kinetic energy to the initial average translational kinetic energy of the gaseous molecule is

The relationship between pressure (P) of the gas and average translational kinetic energy per unit volume (E) for a diatomic gas is:

A tank used for filling helium balloons has a volume of 0 .3 m^3 and contains (2.0) mol of helium gas at 20 .0^@ C . Assuming that the helium behaves like an ideal gas. (a) What is the total translational kinetic energy of the molecules of the gas ? (b) What is the average kinetic energy per molecule ?

From the following statements, concerning ideal gas at any given temperature T, select the correct one(s) (1) The coefficient of volume expansion at constant pressure is same for all ideal gases (2) In a gaseous mixture, the average translational kinetic energy of the molecules of each component is same (3) The mean free path of molecules increases with the decrease in pressure (4) The average translational kinetic energy per molecule of oxygen gas is 3KT (K being Boltzmann constant)

Consider hydrogen gas in a container at NTP. Calculate the average kinetic energy of each molecule.

A canister containing 150 kg of an ideal gas has a volume of 8.0 m'. If the gas exerts a pressure of 5.0 xx 10^5 Pa, what is the rms speed of the molecules?

A 10.0 litre container is filled with a gas to a pressure of 2.00 atm at 0^(@)C . At what temperature will the pressure inside the container be 2.50 atm ?

DC PANDEY-THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES-Level 1 Subjective
  1. Two gases occupy two containers (A) and (B). The gas in (A) of volume ...

    Text Solution

    |

  2. A glass bulb of volume 400 cm^(3) is connected to another bulb of volu...

    Text Solution

    |

  3. The condition called standard temperature and pressure (STP) for a gas...

    Text Solution

    |

  4. A large cylindrical tank contains 0.750 m^3 of nitrogen gas at 276@ C ...

    Text Solution

    |

  5. A vessel of volume 5 litres contains 1.4 g of N2 and 0.4 g of He at 15...

    Text Solution

    |

  6. Temperature of diatomic gas is 300 K. If moment of intertia of its mol...

    Text Solution

    |

  7. Find the number of degrees of freedom of molecules in a gas. Whose mol...

    Text Solution

    |

  8. In a certain (2/5) th of the energy of molecules is associated with th...

    Text Solution

    |

  9. A mixture contains 1 mole of helium (Cp = 2.5 R, Cv= 1.5 R. ) and 1 m...

    Text Solution

    |

  10. An ideal gas (Cp / Cv = gamma) is taken through a process in which the...

    Text Solution

    |

  11. An ideal gas is taken through a process in which the pressure and the ...

    Text Solution

    |

  12. The pressure of a gas in a 100 mL container is 200 kPa and the. Averag...

    Text Solution

    |

  13. One gram mole NO2 "at" 47^@ C and 2 atm pressure in kept in a vessel. ...

    Text Solution

    |

  14. A 2.00 mL volume container contains 50 mg of gas at a pressure of 100 ...

    Text Solution

    |

  15. Call the (rms) speed of the molecules in an ideal gas V(0) at temperat...

    Text Solution

    |

  16. (a) What is the average translational kinetic energy of a molecule of ...

    Text Solution

    |

  17. At 0^@ C and 1.0 atm ( = 1.01 xx 10^5 N//m^2) pressure the densities o...

    Text Solution

    |

  18. An air bubble of 20 cm^3 volume is at the bottom of a lake 40 m deep w...

    Text Solution

    |

  19. For a certain gas the heat capcity at constant pressure is greater tha...

    Text Solution

    |

  20. The heat capacity at constant volume of a monoatomic gas is 35 j//K. F...

    Text Solution

    |