Home
Class 12
PHYSICS
The internal energy of a gas is given by...

The internal energy of a gas is given by `U= 5 + 2PV`. It expands from `V_(0)` to `2V_(0)` against a constant pressure `P_(0)`. The heat absorbed by the gas in the process is :-

A

`-3P_(0)V_(0)`

B

`3P_(0)V_(0)`

C

`2P_(0)V_(0)`

D

`P_(0)V_(0)`

Text Solution

Verified by Experts

The correct Answer is:
B
`DeltaU = 2P_(0) DeltaV` & `W = P_(0)DeltaV`
So `Q = W + DeltaU = 3P_(0)DeltaV = 3P_(0)V_(0)`
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

An ideal monoatomic gas occupies volume 10^(-3)m^(3) at temperature 3K and pressure 10^(3) Pa. The internal energy of the gas is taken to be zero at this point. It undergoes the following cycle: The temperature is raised to 300K at constant volume, the gas is then expanded adiabatically till the temperature is 3K , followed by isothermal compression to the original volume . Plot the process on a PV diagram. Calculate (i) The work done and the heat transferred in each process and the internal energy at the end of each process, (ii) The thermal efficiency of the cycle.

The volume of one mole of an ideal gas with adiabatic exponent gamma is varied according to V=b/T , where b is a constant. Find the amount of Heat is absorbed by the gas in this process temperature raised by DeltaT

Two moles of an ideal monoatomic gas is taken through a cycle ABCA as shown in the P-T diagram. During the process AB , pressure and temperature of the gas very such that PT=Constant . It T_1=300K , calculate (a) the work done on the gas in the process AB and (b) the heat absorbed or released by the gas in each of the processes. Give answer in terms of the gas constant R.

The following are the P-V diagrams for cyclic processes for a gas. In which of these processes is heat absorbed by the gas?

The relation between internal energy U , pressure P and volume V of a gas in an adiabatic processes is : U = a+ bPV where a = b = 3 . Calculate the greatest integer of the ratio of specific heats [gamma] .

One mole of an ideal gas at 300 K expands from V to 2V volume, then work done W in this process will be …

Consider one mole of perfect gas in a cylinder of unit cross section with a piston attached as shown in figure. A spring (spring constant k) is attached (unstretched length L ) to the piston and to the bottom of the cylinder. Initially the spring is unstretched and the gas is in equilibrium. A certain amount of heat Q is supplied to the gas causing an increase of value from V_0 to V_1 . (a) What is the initial pressure of the system ? (b) What is the final pressure of the system ? (c) Using the first law of thermodynamics, write down a relation between Q, P_a , V, V_0 and k.

Starting with the same initial conditions, an ideal gas expands from volume V_1 to V_2 in three different ways, the work done by the gas is W_1 if the process is purely isothermal, W_2 if purely isobaric and W_3 if purely adiabatic, then

Molar heat capacity of an ideal gas in the process PV^(x) = constant , is given by : C = (R)/(gamma-1) + (R)/(1-x) . An ideal diatomic gas with C_(V) = (5R)/(2) occupies a volume V_(1) at a pressure P_(1) . The gas undergoes a process in which the pressure is proportional to the volume. At the end of the process the rms speed of the gas molecules has doubled from its initial value. Heat supplied to the gas in the given process is :

Molar heat capacity of an ideal gas in the process PV^(x) = constant , is given by : C = (R)/(gamma-1) + (R)/(1-x) . An ideal diatomic gas with C_(V) = (5R)/(2) occupies a volume V_(1) at a pressure P_(1) . The gas undergoes a process in which the pressure is proportional to the volume. At the end of the process the rms speed of the gas molecules has doubled from its initial value. The molar heat capacity of the gas in the given process is :-

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

    |