Home
Class 11
PHYSICS
Suppose 0.5 moles of an ideal gas underg...

Suppose `0.5` moles of an ideal gas undergoes an isothermal expansion as energy is added to it as heat Q. Graph shows the final volume `V_(f)` versus Q. The temperature of the gas is `(use ln 9 = 2 and R = (25)/(3) J//mol-K)`

A

`293 K`

B

`360 K`

C

`386 K`

D

`412 K`

Text Solution

Verified by Experts

The correct Answer is:
B
`Q = W = nRT 1n(V_f)/(V_i)`
`=T = (Q)/(nR1nV_f//V_i) = (1500)/(0.5xx25/3xx1n3)`
`=(1500)/(0.5xx25//3xx1) = 360K`.
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    A2Z|Exercise Application Of First Law Of Thermodynamics In Different Situations|25 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    A2Z|Exercise Second Law Of Thermodynamics|29 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    A2Z|Exercise Ideal Gas Equation|32 Videos

  • GRAVITATION

    A2Z|Exercise Chapter Test|29 Videos

  • MOCK TEST

    A2Z|Exercise Motion With Constant Acceleration|15 Videos

Similar Questions

Explore conceptually related problems

Suppose 0.825 mol of an ideal gas undergoes an isothermal expansion as energy is added to it as heat Q. If Fig. 21-30 shows the final volume V_f versus Q, what is the gas temperature? The scale of the vertical axis is set by V_(fs ) = 0.30 m^3 and the scale of the horizontal axis is set by Q_s = 1800 J .

Consider isothermal expansion of 0.5 mole of an ideal gas when Q amount of heat is added to it. Following graph shows variation in volume V with Q. Find the temperature of the gas ("ln "3~~10, R=(25)/(3)J//"mole"-K)

The entropy of v = 4.0 moles of an ideal gas increases by Delta S = 23 J//K due to the isothermal expansion. How many times should the volume v = 4.0 moles of the gas be increased ?

One mole of an ideal gas undergoes a process P=P_(0)-alphaV^(2) where alpha and P_(0) are positive constant and V is the volume of one mole of gas Q. When temperature is maximum, volume is

Entrolpy change in isothermal expansion work of one mole of an ideal gas from volume V_(1) and V_(2) is given by

One mole of an ideal gas requires 207 J of heat to raise the temperature. If the same gas is heated at constant volume to raise the temperature by the same range, the heat required will be [R=8.3 J/mole K]

One mole of an ideal gas undergoes a process P=P_(0)-alphaV^(2) where alpha and P_(0) are positive constant and V is the volume of one mole of gas Q. The maximum attainable temperature is

A2Z-KINETIC THEORY OF GASES AND THERMODYNAMICS-First Law Of Thermodynamics , Internal Energy And Work Done
  1. An insulator container contains 4 moles of an ideal diatomic gas at te...

    Text Solution

    |

  2. Which one of the following gases possesses the largest internal energy

    Text Solution

    |

  3. In the figure given two processes A and B are shown by which a thermod...

    Text Solution

    |

  4. When a system is taken from state f along path iaf, Q = 50 J and W = 2...

    Text Solution

    |

  5. The P - V diagram of a system undergoing thermodynamic transformation ...

    Text Solution

    |

  6. The P - V diagram of 2 gm of helium gas for a certain process A rarr B...

    Text Solution

    |

  7. Volume versus temperature graph of two moles of helium gas is as shown...

    Text Solution

    |

  8. Heat is supplied to a diatomic gas at constant pressure. The ratio o...

    Text Solution

    |

  9. N moles of an ideal diatomic gas are in a cylinder at temperature T. s...

    Text Solution

    |

  10. Some of the thermodynamic parameters are state variables while some ar...

    Text Solution

    |

  11. In a process, the pressure of an ideal gas is proportional to square o...

    Text Solution

    |

  12. In a process, the pressure of an ideal gas is proportional to square o...

    Text Solution

    |

  13. A vessel contains an ideal monoatomic gas which expands at constant pr...

    Text Solution

    |

  14. Suppose 0.5 moles of an ideal gas undergoes an isothermal expansion as...

    Text Solution

    |

  15. Consider the cyclic process ABCA, shown in figure, performed on a samp...

    Text Solution

    |

  16. A quantity of heat Q is supplied to a monoatomic ideal gas which expan...

    Text Solution

    |

  17. Three moles of an ideal monoatomic gas per form a cyclic as shown in t...

    Text Solution

    |

  18. In a thermodynamic process, pressure of a fixed mass of a gas is chang...

    Text Solution

    |

  19. An ideal monoatomic gas undergoes the process AB as shown in the figur...

    Text Solution

    |

  20. One mole of a gas is subjected to two process AB and BC, one after the...

    Text Solution

    |