Home
Class 12
PHYSICS
The molar specific heat of the process ...

The molar specific heat of the process ` V alpha T^(4)` for `CH_(4)` gas at room temperature is :-

A

`4R`

B

`7R`

C

`3R`

D

`8R`

Text Solution

Verified by Experts

The correct Answer is:
B

`V alpha T ^(4) implies V alpha (PV)^(4)`
`implies P^(4)V^(3)` = constant `implies PV^(3//4)` = constant
`therefore C = C_(V) + (R)/(1-x) = 3R + (R)/(1-3//4) = 3R + 4R = 7R`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE -02|82 Videos
  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE -03|11 Videos
  • GEOMETRICAL OPTICS

    ALLEN |Exercise SOME WORKED OUT EXAMPLES|84 Videos
  • CURRENT ELECTRICITY

    ALLEN |Exercise EX.II|66 Videos
  • GRAVITATION

    ALLEN |Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

What is specific heat of a gas in an isothermal process ?

A quantity of 2 mole of helium gas undergoes a thermodynamic process, in which molar specific heat capacity of the gas depends on absolute temperature T , according to relation: C=(3RT)/(4T_(0) where T_(0) is initial temperature of gas. It is observed that when temperature is increased. volume of gas first decrease then increase. The total work done on the gas until it reaches minimum volume is :-

The molar specific heat at constant pressure of an ideal gas is 7/2R . The ratio of specific heat at constant pressure to that at constant volume is ……….

Given below are observations on molar specific heats at room temperature of some common gases. {:("Gas","Molar specific heat "(C_(v))),(,("cal mol"^(1)K^(-1))),("Hydrogen",4.87),("Nitrogen",4.97),("Oxygen",5.02),("Nitric oxide",4.99),("Carbon monoxide",5.01),("Chlorine",6.17):} The measured molar specific heats of these gases are markedly different from those for monatomic gases. Typically, molar specific heat of a monatomie gas is 2.52 cal/mol K. Explain this difference. What can you infer from the somewhat larger than the rest) value for chlorine ?

Given below are observations on molar specific heats at room temperature of some common gases. The measured molar specific heats of these gases are markedly different from those for monatomic gases. Typically, molar specific heat of a monatomic gas is 2.92 cal/mol K. Explain this difference. What can you infer from the somewhat larger (than the rest) value for chlorine ?

Draw graph of alpha_(V)to temperature.

C_(p) and C_(v) denote the molar specific heat capacities of a gas at constant pressure and volume respectively. Then :

At which temperature specific heat of water is minimum ?

Statement - 1 : An ideal gas has infinitely many molar specific heats. Statement- 2 : Specific heat is amount of heat needed to raise the temperature of 1 mole of gas by 1K .

One mole of an ideal gas undergoes a process whose molar heat capacity is 4R and in which work done by gas for small change in temperature is given by the relation dW=2RdT , then find the degree of freedom of gas

ALLEN -GEOMETRICAL OPTICS-EXERCISE -01
  1. Air is filled at 60^(@)C in a vessel of open mouth. The vessle is heat...

    Text Solution

    |

  2. One mole of an ideal gas undergoes a process p=(p(0))/(1+((V(0))/(V))...

    Text Solution

    |

  3. Two identical glass bulbs are interconnected by a thin glass tube. A g...

    Text Solution

    |

  4. As shown , a piston chamber pf cross section area A is filled with ide...

    Text Solution

    |

  5. A gas has volume V and pressure p. The total translational kinetic ene...

    Text Solution

    |

  6. A mixture of n(1) moles of monoatomic gas and n(2) moles of diatomic g...

    Text Solution

    |

  7. Four containers are filled with monoatomic ideal gases. For each conta...

    Text Solution

    |

  8. 10^(23) molecules of a gas strike a target of area 1 m^(2) at angle 45...

    Text Solution

    |

  9. From the following V-T diagram we can conclude:-

    Text Solution

    |

  10. The density in grams per litre of ethylene (C(2)H(4)) at STP is :-

    Text Solution

    |

  11. A gas is expanded from volume V(0) = 2V(0) under three different proce...

    Text Solution

    |

  12. Some of the thermodynamic parameters are state variables while some ar...

    Text Solution

    |

  13. For an ideal gas PT^(11) = constant then volume expansion coefficient ...

    Text Solution

    |

  14. The internal energy of a gas is given by U= 5 + 2PV. It expands from V...

    Text Solution

    |

  15. When water is heated from 0^(@)C to 4^(@)C and C(P) and C(V) are its s...

    Text Solution

    |

  16. The molar specific heat of the process V alpha T^(4) for CH(4) gas at...

    Text Solution

    |

  17. 5"n", n and 5"n" moles of a monoatomic, diatomic and non-linear polyat...

    Text Solution

    |

  18. The relation between U, p and V for an ideal gas in an adiabatic proce...

    Text Solution

    |

  19. What would be the efficiency of the heat engine diagramed as shown bel...

    Text Solution

    |

  20. An ideal Carnot heat engine with an efficiency of 30%. It absorbs heat...

    Text Solution

    |