Home
Class 12
PHYSICS
For an ideal gas the molar heat capacity...

For an ideal gas the molar heat capacity varies as `C=C_V+3aT^2`. Find the equation of the process in the variables (T,V) where a is a constant.

A

`Ve^((3a)/(2R)T^2)`= Constant

B

`Ve^((-3a)/(2R)T^2)`= Constant

C

`TV^2`= Constant

D

`VT^2`=Constant

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KVPY 2021

    KVPY PREVIOUS YEAR|Exercise PART I (Chemistry)|2 Videos

  • MOCK TEST 10

    KVPY PREVIOUS YEAR|Exercise EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

For an ideal gas,the molar heat capacity varies as C=C V +aV where a is a constant,V: volume and C V ) is specific heat of constant volume.The relation between T&V is given by T : temperature,V :volume,R : gas constant)

For the case of an ideal gas find the equation of the process (in the variables T, V ) in which the molar heat capacity varies as : (a) C = C_V + alpha T , (b) C = C_V + beta V , ( c) C = C_v + ap , where alpha, beta and a are constants.

One mole of an ideal gas with heat capacity at constant pressure C_p undergoes the process T = T_0 + alpha V , where T_0 and alpha are constants. Find : (a) heat capacity of the gas as a function of its volume , (b) the amount of heat transferred to the gas, if its volume increased from V_1 to V_2 .

For an ideal monoatomic gas, molar heat capacity at constant volume (C_(v)) is

One mole of an ideal gas with heat capacity C_V goes through a process in which its entropy S depends on T as S = alpha//T , where alpha is a constant. The gas temperature varies from T_1 to T_2 Find : (a) the molar heat capacity of the gas as function of its temperature , (b) the amount of heat transferred to the gas , ( c) the work performed by the gas.

One mole of an ideal gas with heat capacity at constant pressure C_(P) undergoes the process T=T_(0)+alpha V where T_(0) and a are constants.If its volume increases from V_(1)toV_(2) the amount of heat transferred to the gas is C_(P)RT_(0)ln((V_(2))/(V_(1))) O alpha C_(P)((V_(2)-V_(1)))/(RT_(0))ln((V_(2))/(V_(1))) qquad alpha C_(P)(V_(2)-V_(1))+RT_(0)ln((V_(2))/(V_(1)))

One mole of an ideal gas with heat capacity at constant pressure C_(P) undergoes the process T=T_(0)+alpha V where T_(0) and a are constants.If its volume increases from V_(1)toV_(2) the amount of heat transferred to the gas is C_(P)RT_(0)ln((V_(2))/(V_(1))) alpha C_(P)((V_(2)-V_(1)))/(RT_(0))ln((V_(2))/(V_(1))) alpha C_(P)(V_(2)-V_(1))+RT_(0)ln((V_(2))/(V_(1)))

For an ideal gas the equation of a process for which the heat capacity of the gas varies with temperatue as C=(alpha//T(alpha) is a constant) is given by

The molar specific heat of a gas is defined as C=(Dq)/(ndT) Where dQ =heat absorbed n = mole number dT = change in temperature The equation of the above process in the variables T ,V is

An ideal gas has a molar heat capacity C_v at constant volume. Find the molar heat capacity of this gas as a function of its volume V , if the gas undergoes the following process : (a) T = T_0 e^(alpha v) , (b) p = p_0 e^(alpha v) , where T_0, p_0 , and alpha are constants.

KVPY PREVIOUS YEAR-MOCK TEST 1-EXERCISE
  1. A solid sphere of radius R(1) and volume charge density rho = (rho(0))...

    Text Solution

    |

  2. A man of height 'h' is walking away from a street lamp with a constant...

    Text Solution

    |

  3. An a.c. source of angular frequency omega is fed across a resistor R a...

    Text Solution

    |

  4. A thin spherical shell of radius R lying on a rough horizontal surface...

    Text Solution

    |

  5. Two long cylindrical metal tubes stand on insulating floor. A dielectr...

    Text Solution

    |

  6. A single slit of width a is illuminated by violet light of wavelength ...

    Text Solution

    |

  7. A jumper of mass m and length l is placed on two prabolic rails in x-y...

    Text Solution

    |

  8. A torsional pendulum consists of a solid disc connected to a thin wire...

    Text Solution

    |

  9. A bar magnet suspended at a place P where dip angle is 60^@ gives 10 o...

    Text Solution

    |

  10. A chain of length l is placed on a smooth spherical surface of radius ...

    Text Solution

    |

  11. A star initially has 10^40 deuterons. It produces energy via the proce...

    Text Solution

    |

  12. A rod of length l is pivoted about a horizontal , frictionless pin thr...

    Text Solution

    |

  13. In the circuit given below, V(t) is the sinusoidal voltage source, vol...

    Text Solution

    |

  14. A thermocole cubical icebox of side 30 cm has a thickness of 5.0 cm if...

    Text Solution

    |

  15. An artificial satelite of the moon revolves in a circular orbit whose ...

    Text Solution

    |

  16. A body falling freely from a given height H hits an inlclined plane in...

    Text Solution

    |

  17. In the arrangement shown, a block (of mass m) is being moved up agains...

    Text Solution

    |

  18. For an ideal gas the molar heat capacity varies as C=CV+3aT^2. Find th...

    Text Solution

    |

  19. A 4 muF capacitor, a resistance of 2.5 M Omega is in series with 12V b...

    Text Solution

    |

  20. Water is boiled in a rectangular steel tank of thickness 2 cm by a con...

    Text Solution

    |