Home
Class 11
PHYSICS
P-V graph for an ideal gas undergoing po...

P-V graph for an ideal gas undergoing polytropic process `PV^(m) = constant` is shown here. Find the value of m.

A

`3/4`

B

`-3/2`

C

`5/3`

D

`3/2`

Text Solution

Verified by Experts

The correct Answer is:
D
`PV^(m) = const`.
`implies V^(m) dP + mv^(m-1) Pd v=0`
`implies (dP)/(dV) = -(mP)/(V) = tan(180 - 37^@)`
`=3/4 = m(2xx10^5)/(4xx10^5) implies m = 3/2`.
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    A2Z|Exercise Second Law Of Thermodynamics|29 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    A2Z|Exercise Problems Based On Mixed Concepts|49 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    A2Z|Exercise First Law Of Thermodynamics , Internal Energy And Work Done|55 Videos

  • GRAVITATION

    A2Z|Exercise Chapter Test|29 Videos

  • MOCK TEST

    A2Z|Exercise Motion With Constant Acceleration|15 Videos

Similar Questions

Explore conceptually related problems

Ideal gas and polytropic process

An ideal monatomic gas undergoes process PV^(1.25) = constant .Then

For an ideal gas the ratio of specific heats is (C_(p))/(C_(v)) = gamma . The gas undergoes a polytropic process PV^(n) = a constant. Find the values of n for which the temperature of the gas increases when it rejects heat to the surrounding.

A certain ideal gas undergoes a polytropic process PV^(n) = constant such that the molar specific heat during the process is negative. If the ratio of the specific heats of the gas be gamma , then the range of values of n will be

In the polytropic process PV^2 = constant, is the gas cooled'or heated with increase in volume.

An ideal gas undergoes a polytropic process PV^(n)= constant,such that the molar specific heat during "],[" the process is negative.If the ratio of the specific heats of the gases be Y,then the range of value of n will be

Find the molar heat capacity of an ideak gas in a polytropic process p V^n = const if the adiabatic exponent of the gas is equal to gamma . At what values of the polytropic constant n will the heat capacity of the gas be negative ?

One mole of an ideal gas is taken along the process in which PV' = constant. The graph shown represents the variation of molar heat capacity of such a gas with respect to x . The value of c' and x'c respectively, are given by

A2Z-KINETIC THEORY OF GASES AND THERMODYNAMICS-Application Of First Law Of Thermodynamics In Different Situations
  1. For one complete cycle of a thermodynamic process gas as shown in the ...

    Text Solution

    |

  2. A sample of an ideal gas is taken through the cyclic process abca . It...

    Text Solution

    |

  3. A thermodynamic process of one mole ideal monoatomic gas is shown in f...

    Text Solution

    |

  4. A gas is expanded form volume V(0) to 2V(0) under three different pro...

    Text Solution

    |

  5. During adiabatic process pressure P versus density roh equation is

    Text Solution

    |

  6. P-V diagram of a diatomic gas is a straight line passing through origi...

    Text Solution

    |

  7. An ideal gas is taken from state 1 to state 2 through optional path A,...

    Text Solution

    |

  8. In the following P-V diagram two adiabatics cut two isothermals at tem...

    Text Solution

    |

  9. In an adiabatic process, R = (2)/(3) C(v). The pressure of the gas wil...

    Text Solution

    |

  10. Initial volume of three samples of same gas A, B and C are same. The p...

    Text Solution

    |

  11. One mole of an ideal gas at temperature T expands slowly according to ...

    Text Solution

    |

  12. If the ratio of specific heat of a gas of constant pressure to that at...

    Text Solution

    |

  13. A polytropic process for an ideal gas is represented by equation PV^(n...

    Text Solution

    |

  14. During an experiment, an ideal gas is found to obey an additional law ...

    Text Solution

    |

  15. Find the amount of work done to increase the temperature of one mole o...

    Text Solution

    |

  16. Two moles of an ideal mono-atomic gas undergo a cyclic process as show...

    Text Solution

    |

  17. A sample of an ideal gas initially having internal energy U(1) is allo...

    Text Solution

    |

  18. An amount Q of heat is added to a monoatomic ideal gas in a process in...

    Text Solution

    |

  19. In a process, the molar heat capacity of a diatomic gas is (10)/(3) R....

    Text Solution

    |

  20. P-V graph for an ideal gas undergoing polytropic process PV^(m) = cons...

    Text Solution

    |