Home
Class 11
PHYSICS
Two moles of a certain gas at a temperat...

Two moles of a certain gas at a temperature `T_0=300K` were cooled isochorically so that the pressure of the gas got reduced 2 times. Then as a result of isobaric process, the gas is allowed to expand till its temperature got back to the initial value. Find the total amount of heat absorbed by gas in this process.

Text Solution

Verified by Experts

The correct Answer is:
B, D

First Process
`V=constant`
`:.` `TpropP`
Pressure becomes half. So, temperature also becomes half.
`Q_1=n_1C_VDeltaT=2C_V(150-300)`
`=-300C_V`
Second Pross
P=constant
`Q_2=nC_pDeltaT`
`=2C_p(300-150)`
`=300C_p`
`Q=Q_1+Q_2`
`=300(C_p-C_V)=300R`
`=300xx8.31=2493J`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Level 2 Single Correct|27 Videos
  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Level 2 More Than One Correct|6 Videos
  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Level 1 Objective Questions|1 Videos
  • LAWS OF MOTION

    DC PANDEY|Exercise Medical entrances gallery|39 Videos
  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    DC PANDEY|Exercise Integer type Questions|10 Videos

Similar Questions

Explore conceptually related problems

Two moles of an ideal gas at temperature T_(0) = 300 K was cooled isochorically so that the pressure was reduced to half. Then, in an isobaric process, the gas expanded till its temperature got back to the initial value. Find the total amount of heat absorbed by the gas in the processs

Two moles of a certain ideal gas at 300K were cooled at constant volume so that the pressure was reduced to half t he initial value. Then, as a result of heating at constant pressure, the gas expanded till its temperature got back ot the initial value. Find the total amount of heat absorbed by the gas in the process.

Two moles of a certain ideal gas at 300K is cooled at constant volume so that the pressure is reduced to half the original value. Now the gas is heated at constant pressure so that its temperature becomes equal to the initial temperature. Find the total amount of heat absorbed by the gas in the process.

One mole of an ideal gas at temperature T was cooled isochorically till the gas pressure fell from P to (P)/(n) . Then, by an isobaric process, the gas was restored to the initial temperature. The net amount of heat absorbed by the gas in the process is

Six grams of hydrogen gas at a temperature of 273 K isothoermally expanded to five times its initial volume and then isochorically heated so that the pressure in the final state becomes equal to that in the initial state. Find the total amount of heat absorbed by the gas during the entire process.

Two moles of an ideal gas are cooled isochorically and then expanded isobarically to lower the gas temperature back to the initial value. Find the entropy increment of the gas if in this process the gas pressure changed n = 3.3 times.

The pressure of an ideal gas varies with volume as P= aV, where a is a constant. One mole of the gas is allowed to undergo expansion such that its volume becomes ‘m’ times its initial volume. The work done by the gas in the process is

One mole of an ideal mono atomic gas is at a temperature T_(0) = 1000 K and its pressure is P_(0) . The gas is adiabatically cooled so that its pressure becomes (2)/(3) P_(0) . Thereafter, the gas is cooled at constant volume to reduce its pressure to (P_(0))/(3) . Calculate the total heat absorbed by the gas during the process. Take R = (25)/(3)J mol^(-1)K^(-1) and ((2)/(3))^(2//5) = 0.85

4 moles of an ideal monoatomic gas is heated isobarically so that its absolute temperature increases 2 times. Then the entropy increment of the gas in this process is

DC PANDEY-LAWS OF THERMODYNAMICS-Level 1 Subjective
  1. A thermodynamic system undergoes a cyclic process as shown in figure. ...

    Text Solution

    |

  2. A gas undergoes the cycle shown in figure. The cycle is repeated 100 t...

    Text Solution

    |

  3. One mole of an ideal monoatomic gas is initially at 300K. Find the fin...

    Text Solution

    |

  4. A closed vessel 10L in volume contains a diatomic gas under a pressure...

    Text Solution

    |

  5. One mole of an ideal monatomic gas is taken round the cyclic process A...

    Text Solution

    |

  6. A diatomic ideal gas is heated at constant volume until its pressure b...

    Text Solution

    |

  7. Two moles of a certain gas at a temperature T0=300K were cooled isocho...

    Text Solution

    |

  8. Five moles of an ideal monoatomic gas with an initial temperature of 1...

    Text Solution

    |

  9. Find the change in the internal energy of 2 kg of water as it heated f...

    Text Solution

    |

  10. Calculate the increase in the internal energy of 10 g of water when it...

    Text Solution

    |

  11. One gram of water (1 cm^3) becomes 1671 cm^3 of steam when boiled at a...

    Text Solution

    |

  12. A gas in a cyclinder is held at a constant pressure of 2.30xx10^5 Pa a...

    Text Solution

    |

  13. p-V diagram of an ideal gas for a process ABC is as shown in the figur...

    Text Solution

    |

  14. In the given graph, an ideal gas changes its state from A to C by two ...

    Text Solution

    |

  15. When a gas expands along AB, it does 500J of work and absorbs 250 J of...

    Text Solution

    |

  16. A 1.0 kg bar of copper is heated at atmospheric pressure (1.01xx10^5N/...

    Text Solution

    |

  17. One mole of an ideal monoatomic gas occupies a volume of 1.0xx10^-2m^3...

    Text Solution

    |

  18. A bullet of mass 10g travelling horizontally at 200m//s strikes and em...

    Text Solution

    |

  19. An ideal gas is carried through a thermodynamic cycle consisting of tw...

    Text Solution

    |

  20. An ideal gas is enclosed in a cyclinder with a movable piston on top. ...

    Text Solution

    |