Home
Class 12
PHYSICS
One mole of an ideal gas is heated isoba...

One mole of an ideal gas is heated isobarically from the freezing point to the boiling point of water each under normal pressure . Find out the work done by the gas and the change in its internal energy. The amount of heat involved is `1`kJ.

Text Solution

Verified by Experts

The correct Answer is:
`830J , 170J`

`DeltaU = nC_(V)DeltaT , Q = nC_(P)DeltaT "and" W = nRDeltaT = (1)((25)/(3)) (100) = (2500)/(3) J`
`DeltaU = n(C_(P) -R)DeltaT = nC_(P)DeltaT - nRDeltaT`
=`1000-(1) ((25)/(3)) (100)= (500)/(3)J`
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 EX.II|66 Videos
  • GRAVITATION

    ALLEN |Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

The efficiency of an ideal heat engine working between the freezing point and boiling point of water is ____

Two moles of an ideal monoatomic gas, initially at pressure p_1 and volume V_1 , undergo an adiabatic compression until its volume is V_2 . Then the gas is given heat Q at constant volume V_2 . (i) Sketch the complete process on a p-V diagram. (b) Find the total work done by the gas, the total change in its internal energy and the final temperature of the gas. [Give your answer in terms of p_1,V_1,V_2, Q and R ]

A gaseous system absorbs 450 cal heat. The work done by the system is 836.2 J. Find the change in internal energy of the gas in calorie. (J=4.186 J "cal"^(-1) )

One mole of an ideal gas is heated at constant pressure. If an 100 Joule heat energy supplied to the gas, then work done by the gas will be …….. (gamma=1.4)

1 mole of an ideal gas at 27^@ C temperature and 2 atm pressure is compressed adiabatically until its final temperature became 848.4 K. Find the total work done on the gas.

One mole of an ideal monoatomic gas undergoes a cyclic process as shown in figure . Temperature at point 1 = 300K and process 2-3 is isothermal . . Net work done by gas in complete cycle is

In the given figure an ideal gas changes its state from A to state C by two paths ABC and AC . (i) Find the path along which work done is the least. (ii) The internal energy of gas at A is 10J and amount of heat supplied to change its state to C through the path AC is 200J . Calculate the internal energy at C . (iii) How much is the heat involved in the process ABC and ADC ?

An ideal diatomic gas (gamma=7/5) undergoes a process in which its internal energy relates to the volume as U=alphasqrtV , where alpha is a constant. (a) Find the work performed by the gas to increase its internal energy by 100J. (b) Find the molar specific heat of the gas.

One mole of an ideal gas at an initial temperature of TK does 6R joule of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5//3 , the final temperature of the gas will be

One mole of an ideal monatomic gas is taken round the cyclic process ABCA as shown in figure. Calculate (a) the work done by the gas. (b) the heat rejected by the gas in the path CA and the heat absorbed by the gas in the path AB, (c) the net heat absorbed by the gas in the path BC, (d) the maximum temperature attained by the gas during the cycle.

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

    |