Home
Class 12
PHYSICS
An ideal monatomic gas is confined in a ...

An ideal monatomic gas is confined in a cylinder by a spring-loaded piston of cross section `8.0xx10^(-3) m^(2).`Initially the gas is at `300K` and occupies a volume of `2.4xx10^(-3)m^(-3)` and the spring is in its relaxed state. The gas is heated by a small heater until the piston moves out slowly by `0.1m`. Calculate the final temperature of the gas. The force constant of the spring is `8000Nm^(-1)`,and the atmospheric pressure is `1.0xx10^(5)Nm^(-2)`.The cylinder and the piston are thermally insulated. The piston and the spring are massless and there is no friction between the piston and the cylinder. Neglect any heat-loss through the lead wires of the heater. The heat capacity of the heater coil is negligible.

A

`T_(2)=600 K, Q=680J`

B

`T_(2)=800K, Q=600J`

C

`T_(2)=600K, Q=720J`

D

`T_(2)=800 K, Q=720J`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 13

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

  • JEE MOCK TEST 15

    NTA MOCK TESTS|Exercise MCQS (PHYSICS)|25 Videos

Similar Questions

Explore conceptually related problems

An ideal monatonic gas is confined in a cylinder by a spring-loaded piston of cross section 8.0xx10^(-3) m^(2). initially the gas is at 300K and occupies a volume of 2.4xx10^(-3)m^(-3) and the sprinng is in its relaxed state. The gas is heated by a small heater until the piston moves out slowly by 0.1m. Calculate the final tenoerature of the gas. The force constant if the spring is 8000Nm^(-1) ,and the atmospheric pressure is 1.0xx10^(5)Nm^(-2).Hte cylinder and the piston are thermally insylated. The piston and the spring are massless and there is no friction between the piston and the cylinder. Neglect any heat-loss through the lead wires of the heater. The heat capacity of the heater coil is negligible.

An ideal monatomic gas is confined in a cylinder by a spring-loaded piston of cross-section 8.0xx10^-3m^2 . Initially the gas is at 300K and occupies a volume of 2.4xx10^-3m^3 and the spring is in its relaxed (unstretched, unompressed) state, fig. The gas is heated by a small electric heater until the piston moves out slowly by 0.1m. Calculate the final temperature of the gas and the heat supplied (in joules) by the heater. The force constant of the spring is 8000 N//m , atmospheric pressure is 1.0xx10^5 Nm^-2 . The cylinder and the piston are thermally insulated. The piston is massless and there is no friction between the piston and the cylinder. Neglect heat loss through lead wires of the heater. The heat capacity of the heater coil is negligible. Assume the spring to be massless.

An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure). Initially the gas is at temperature T_1 , pressure P_1 and volume V_1 and the spring is in its relaxed state. The gas is tehn heated very slowly to temperature T_2 ,pressure P_2 and volume V_2 . During this process the piston moves out by a distance x. Ignoring the friction between the piston and the cylinder, the correct statement (s) is (are)

Two mole of an ideal monatomic gas are confined within a cylinder by a mass less spring loaded with a frictionless piston of negligible mass and crossectional area 4xx10^(-3)m^(2) . The gas is heated by a heater for some time. During this time the gas expands and does 50J of work in moving the piston through a distance of 0.01 m. The temperature of gas increases by 50 k. The force constant of spring is

Two mole of an ideal monatomic gas are confined within a cylinder by a mass less spring loaded with a frictionless piston of negligible mass and crossectional area 4xx10^(-3)m^(2) . The gas is heated by a heater for some time. During this time the gas expands and does 50J of work in moving the piston through a distance of 0.01 m. The temperature of gas increases by 50 k. Change in internal energy of the gas is

An ideal gas occupies a volume of 2m^(3) at a pressure of 3xx10^(6) p,a the energy of the gas is :

12 g of gas occupy a volume of 4xx10^(-3) m^(3) at a temperature of 76^(@)C .after the gas is heated at constant pressure, its density becomes 6xx10^(-4) g//cm^(3) .What is the temperature to which the gas was heated?

Two moles of an ideal monoatomic gas are confined within a cylinder by a massless and frictionless spring loaded piston of cross-sectional area 4 xx 10^(-3)m^(2) . The spring is, initially in its relaxed state. Now the gas is heated by an electric heater, placed inside the cylinder, for some time. During this time, the gas expands and does 50J of work in moving the piston through a distance 0.10m . The temperature of the gas increases by 50K . Calculate the spring constant and the heat supplied by the heater. P_(atm) = 1 xx 10^(5)N//m^(2)R = 8.314 J//mol-K

Two mole of an ideal monatomic gas are confined within a cylinder by a mass less spring loaded with a frictionless piston of negligible mass and crossectional area 4xx10^(-3)m^(2) . The gas is heated by a heater for some time. During this time the gas expands and does 50J of work in moving the piston through a distance of 0.01 m. The temperature of gas increases by 50 k. Heat supplied by heater during this process is

NTA MOCK TESTS-JEE MOCK TEST 14-PHYSICS
  1. The capacitance of the capacitors C(1), C(2) and C(3) are 4muF, 6muF a...

    Text Solution

    |

  2. A satellite is revolving in a circular orbit at a height h from the ea...

    Text Solution

    |

  3. An ideal monatomic gas is confined in a cylinder by a spring-loaded pi...

    Text Solution

    |

  4. Two magnetic dipoles X and Y are kept at a distance d apart, with thei...

    Text Solution

    |

  5. Three blocks are suspended as shown in the figure. The acceleration of...

    Text Solution

    |

  6. The rate of disintegration of a radioactive substance falls from (40)/...

    Text Solution

    |

  7. A body executes simple harmonic motion under the action of a force F1 ...

    Text Solution

    |

  8. In a photoelectric experiment, the wavelength of the light incident on...

    Text Solution

    |

  9. A vessel contains oil (density =0.8gm//cm^3) over mercury (density =13...

    Text Solution

    |

  10. A glass prism is immeresed in water as shown in the figure. When a bea...

    Text Solution

    |

  11. A non uniform rod OM (of length l m) is kept along x-axis and rotating...

    Text Solution

    |

  12. For a CE transistor amplifier, the audio signal voltage across the col...

    Text Solution

    |

  13. A cylindrical adiabatic container of total volume 2V(0) divided into t...

    Text Solution

    |

  14. If velocity, force and time are taken as the fundamental quantities, t...

    Text Solution

    |

  15. Width of the principal maximum on a screen at a distance of 50 cm from...

    Text Solution

    |

  16. two particle of medium disturbed by the wave propagation are at x(1)=0...

    Text Solution

    |

  17. The value of the resistance of a carbon resistor having the standard c...

    Text Solution

    |

  18. A conducing circular loop of area 2.5xx10^(-3)m^(2) and resistance 10O...

    Text Solution

    |

  19. An infinitely long solid cylinder of radius R with uniform volume char...

    Text Solution

    |

  20. A stone of mass 1.3 kg is being rotated in a horizontal plane as a con...

    Text Solution

    |