Home
Class 11
PHYSICS
An ideal gas is taken through a process ...

An ideal gas is taken through a process in which the pressure and the volume are changed according to the equation `p=kv`. Show that the molar heat capacity of the gas for the process is given by `(C=C_v + ( R)/(2))`.

Text Solution

Verified by Experts

The correct Answer is:
A
`pV^-1 = constant`
`:. C = C_V + R/(1 - x)`
Here `x = -1`
`C - C_V + R/2`.
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

The molar heat capacity of a gas in a process

An ideal gas is taken through a process in which pressure and volume vary as P = kV^(2) . Show that the molar heat capacity of the gas for the process is given by C = C_(v) +(R )/(3) .

An ideal gas undergoes a process in which its pressure and volume are related as PV^(n) =constant,where n is a constant.The molar heat capacity for the gas in this process will be zero if

An ideal gas (C_p / C_v = gamma) is taken through a process in which the pressure and volume vary as (p = aV^(b) . Find the value of b for which the specific heat capacity in the process is zero.

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 ?

An ideal diatomic gas undergoes a process in which the pressure is proportional to the volume. Calculate the molar specific heat capacity of the gas for the process.

A monoatomic gas undergoes a process in which the pressure (P) and the volume (V) of the gas are related as PV^(-3)= constant. What will be the molar heat capacity of gas for this process?

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

An ideal gas expands according to the laq PV^(3)/(2) = constant . Then find molar heat capcity of this gas for the given process.

An ideal gas with adiabatic exponent gamma = 4/3 undergoes a process in which internal energy is related to volume as U = V^2 . Then molar heat capacity of the gas for the process is :

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

    |