Home
Class 11
PHYSICS
The internal energy of monoatomic ideal ...

The internal energy of monoatomic ideal gas is 1.5 nRT. One mole of helium is kept in cylinder of cross section `8.5cm^2`. The cylinder is closed by a light frictionless piston. The gas is heated slowly in a process during which a total of 42 J heat is given to the gas. If the temperature rises through `2^@C` find the distance moved by the piston. Atmospheric pressure`=100kPa`

Text Solution

Verified by Experts

The correct Answer is:
20 cm
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    SL ARORA|Exercise Exercise|342 Videos

  • THERMODYNAMICS

    SL ARORA|Exercise Problems from competitive examinations|22 Videos

  • Thermal Properties of Matter

    SL ARORA|Exercise Exercise|449 Videos

  • Units and Measurements

    SL ARORA|Exercise Exercise|499 Videos

Similar Questions

Explore conceptually related problems

The internal energy of a monatomic ideal gas is 1.5 nRT. One mole of helium is kept in a cylinder of cross section 8.5 cm^(2) . The cylinder is closed by a light frictionless piston. The gas is heated slowly in a process during which a total of 42J heat is given to the gas. if the temperature rise through 2^((0))C , find the distance moved by the piston. atmoshphere pressure =100 kPa.

Two moles of nitrogen gas is kept in a cylinder of cross-section area 10 cm^(3) . The cylinder is closed by a light frictionless piston. Now the gas is slowly heated such that the displacement of piston during process is 50cm , find the rise in temperature of gas when 200 J of heat is added in it. (Atmospheric pressure =100 kPa, R = 25//3 J//mol-K)

A gas is enclosed in a cylindrical vessel fitted with a frictionless piston. The gas is slowly heated for some time. During the process, 10 J of heat is supplied and the piston is found to move out 10 cm. The area of cross-section of the cylinder =4cm^2 and the atmospheric pressure =100kPa .

A perfect gas in a cylinder provided with frictionless piston is at 37^(@)C . The gas is cooled at constant pressure so that its volume becomes (4//5)th of its initial volume. Find the resulting temperature.

Two moles of an ideal gas are contained in a vertical cylinder with a frictionless piston. The piston is slowly displaced so that expansionin gas is isothermal at temperature T_(0)=400 K. find the amount of work done in increasing the volume to 3 times.t ake atmospheric pressure =10^(5)N//m^(2)

A monatomic ideal gas, initially at temperature T_1, is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T_2 by releasing the piston suddenly. If L_1 and L_2 are the length of the gas column before expansion respectively, then (T_1)/(T_2) is given by

One mole of an ideal gas is contained in a vertical cylinder under a massless piston moving without friction. The piston is slowly raised so that the gas expands isothermally at temperature T_0 = 300 K. Find the amount of work done increasing the volume to eta =2 times. The outside pressure is atmospheric.

2.00 mol of a monatomic ideal gas (U=1.5nRT) is enclosed in an adiabatic, fixed , vertical cylinder fitted with a smooth, light adiabatic piston.the piston is connected to a vertical spring of spring constant 200 N m^(-1) as shown in .the area of cross section of the cylinder is 20.0 cm^(2) . initially, the spring is at its natural length and the temperature of the gas is at its natural length and the temperature of the gas is 300 K. the atmosphere pressure is 100 kPa. the gas is heated sloewly for some time by means of an electric heater so as to move the poston up through 10 cm. find (a) the work done by the gas (b) the final temperature of the gas and (c ) the heat supplied by the heater.

SL ARORA-THERMODYNAMICS-Problems for self practice
  1. Calculate the change in internal energy when 5g of air is heated from ...

    Text Solution

    |

  2. A volume of 10m^(3) of a liquid is supplied with 100 kal of heat and e...

    Text Solution

    |

  3. The internal energy of monoatomic ideal gas is 1.5 nRT. One mole of he...

    Text Solution

    |

  4. A certain gas at atmospheric pressure is compressed adiabatically so t...

    Text Solution

    |

  5. A gas is suddenly compressed to 1/4th of its original volume. Caculate...

    Text Solution

    |

  6. A tyre pumped to a pressure of 6 atmosphere bursts suddenly. Calculate...

    Text Solution

    |

  7. A tyre pumped to a pressure of 3 atmospheres suddenly bursts. Calculat...

    Text Solution

    |

  8. 200 cm^(3) of a gas is compressed to 100cm^(3) at atmospheric pressure...

    Text Solution

    |

  9. A quantity of air at 27^(@)C and atmospheric pressure is suddenly comp...

    Text Solution

    |

  10. A quantity of air at normal temperature is compressed (a) slowly (b) s...

    Text Solution

    |

  11. A quantity of air is kept in a container having walls which are slight...

    Text Solution

    |

  12. A litre of hydrogen at 127^(@)C and 10^(6) dyne cm^(-2) pressure exp...

    Text Solution

    |

  13. Dry air at 15^@ C and 10 atm is suddenly released at atmospheric pres...

    Text Solution

    |

  14. Calculate the rise in temperature when a gas, for which gamma = 1.5 is...

    Text Solution

    |

  15. 1000 cm^(3) of argon at 27^(@)C is adiabatically compressed so that th...

    Text Solution

    |

  16. Calculate the work done if one mole of an ideal gas is compressed isot...

    Text Solution

    |

  17. One kilogram molecule of a gas at 400 K expands isothermally until its...

    Text Solution

    |

  18. Find the final value of a gram molecule of a gas after an isothermal e...

    Text Solution

    |

  19. One gram mole of an ideal gas at N.T.P is first expanded isothermally ...

    Text Solution

    |

  20. Calculate work done to compress isothermally 1g of hydrogen gas at N.T...

    Text Solution

    |