Home
Class 12
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.

Text Solution

Verified by Experts

The correct Answer is:
`1.5`

Slope = `-(gammaP)/(V) = -"tan"37^(@) implies (mP)/(V) = "tan"37^(@)`
`implies m = ((V)/(P))((3)/(4)) = ((4 xx 10^(5))/(2 xx 10^(5)))((3)/(4)) = (3)/(2)= 1.5`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE - 04 (B)|15 Videos
  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE - 05 (A)|73 Videos
  • GEOMETRICAL OPTICS

    ALLEN|Exercise Comprehension Based Questions|66 Videos
  • CURRENT ELECTRICITY

    ALLEN|Exercise All Questions|427 Videos
  • GRAVITATION

    ALLEN|Exercise EXERCISE 4|9 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

ALLEN-GEOMETRICAL OPTICS-EXERCISE - 04 (A)
  1. In the given figure an ideal gas changes its state from A to state C b...

    Text Solution

    |

  2. The pressure in monoatomic gas increases linearly from =4xx10^(5) Nm^...

    Text Solution

    |

  3. On mole of a monoatomic ideal gas is taken through the cycle shown in ...

    Text Solution

    |

  4. At 27^@C two moles of an ideal monoatomic gas occupy a volume V. The g...

    Text Solution

    |

  5. Three moles of an ideal gas (Cp=7/2R) at pressure, PA and temperature ...

    Text Solution

    |

  6. An ideal gas having initial pressure p, volume V and temperature T is ...

    Text Solution

    |

  7. Two moles of helium gas (gamma = 5 / 3) are initially at 27^@C and occ...

    Text Solution

    |

  8. An ideal gas has a specific heat at constant pressure CP=(5R)/2. The g...

    Text Solution

    |

  9. Calculate the work done when one mole of a perfect gas is compressed a...

    Text Solution

    |

  10. A gaseous mixture enclosed in a vessel of volume V consists of one gra...

    Text Solution

    |

  11. An ideal gas is taken through a cyclic thermodynamic process through f...

    Text Solution

    |

  12. A gas has molar heat capacity C = 37.55 J "mole"^(-1)K^(-1), in the pr...

    Text Solution

    |

  13. One mole of monoatomic ideal gas undergoes a process ABC as shown in f...

    Text Solution

    |

  14. An ideal monoatomic gas occupies volume 10^(-3)m^(3) at temperature 3K...

    Text Solution

    |

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

    Text Solution

    |

  16. One mole of an ideal gas is heated isobarically from the freezing poin...

    Text Solution

    |

  17. A vertical cylinder of cross-sectional area 0.1m^(2) closed at both en...

    Text Solution

    |

  18. There is a soap bubble of radius 2.4 xx 10^(-4)m in air cylinder at a ...

    Text Solution

    |

  19. An ideal gas at NTP is enclosed in an adiabatic vertical cylinder havi...

    Text Solution

    |

  20. There are two layers of water in a calorimeter, the lower one colder a...

    Text Solution

    |