Home
Class 12
PHYSICS
The temperature of an open room of volum...

The temperature of an open room of volume `30 m^(3)` increases from `17^(@)C to 27^(@)C` due to sunshine. The atmospheric pressure in the room remains `1 xx 10^(5) Pa`. If `n_(i) and n_(f)` are the number of molecules in the room before and after heating then `n_(f) - n_(i)` will be

A

`1. 38 xx10^(23)`

B

`2.5 xx10^(25)`

C

`-2.5 xx10^(25)`

D

`-1.61 xx10^(23)`

Text Solution

Verified by Experts

The correct Answer is:
C
From `pv=nRT-(N)/(N_(A))RT`
We have, `n_f-n_i=(pVN_A)/(RT_f)-(pVN_A)/(RT_i) implies n_f-n_i=(10^5xx 30)/(8.2)xx 6.02xx10^(23)*((1)/(300)-(1)/(290))`
`= -2.5xx10^(25)" ":. Trianglen= -2.5xx10^(25)`.
Promotional Banner

Topper's Solved these Questions

  • GASEOUS STATE & THERMODYNAMICS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE )|111 Videos

  • GASEOUS STATE & THERMODYNAMICS

    VMC MODULES ENGLISH|Exercise Level - 2|40 Videos

  • ENERGY & MOMENTUM

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE) - TRUE/FALSE TYPE|1 Videos

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise JEE Advance (Archive) TRUE/FALSE|1 Videos

Similar Questions

Explore conceptually related problems

N_(2) gas is present in one litre flask at a pressure of 7.6 xx 10^(-10) mm of Hg. The number of N_(2) gas molecules in the flask at 0°C are

The length, breadth and height of a room are 8m ,\ 6. 5 m\ a n d\ 3. 5 m respectively. Find the volume of the air contained in the room.

The solubility of N_(2)(g) in water exposed to the atmosphere, when the partial pressure is 593 mm is 5.3xx10^(-4) M. Its solubility at 760 mm and at the same temperature is

The rms velocity molecules of a gas of density 4 kg m^(-3) and pressure 1.2 xx 10^(5) N m^(-2) is

The rms velocity molecules of a gas of density 4 kg m^(-3) and pressure 1.2 xx 10^(5) N m^(-2) is

What is the pressure inside a drop of mercury of radius 3.0mm at room temperature? Surface tension of mercury at that temperature (20^(@)C) is 4.65xx10^(-1)Nm^(-1) . The atmospheric pressure is 1.01xx10^(5)Pa . Also give the excess pressure inside the drop.

50 students sitting in the room of 5 xx 10 xx 3m^(3) dimensions. The air inside the room is at 27^(@)C and 1atm pressure. If each student loses 100 watt heat per second assuming the walls, ceiling floor, and all the material present inside the room is perfectly insulated as well as neglecting loss of air to the outside as the temperature is raised, how much rise in temperature will be noticed in 10min ? Given C_(P) = (7)/(2)R for air.

A compressed cylinder of gas contains 1.50xx10^(3) g of N_(2) gas at a pressure of 2.0xx10^(7) Pa and a temperature of 17.1^(@)C . What volume of gas has been released into the atmosphere if the final pressure in the cylinder is 1.80xx10^(5) Pa ? Assume ideal behaviour and that the gas temperature is unchanged.

What is the excess pressure inside (i) a drop (ii) a bubble of water of diameter 2mm. If the atmospheric pressure is 1.01 xx 10^(5) Pa, calculate the total pressure inside them = sigma = 72 xx 10^(-3) N//m .

The condition called standard temperature and pressure (STP) for a gas is defined as temperature of 0^@ C = 273.15 K and a pressure of 1 atm = 1.013 xx 10^5 Pa . If you want to keep a mole of an ideal gas in your room at (STP), how big a container do you need ?

VMC MODULES ENGLISH-GASEOUS STATE & THERMODYNAMICS-JEE MAIN (ARCHIVE )
  1. An engine operates by taking n moles of an ideal gas through the cycle...

    Text Solution

    |

  2. For the diagram given for an ideal gas, out of the following which o...

    Text Solution

    |

  3. The temperature of an open room of volume 30 m^(3) increases from 17^(...

    Text Solution

    |

  4. One mole of and ideal monoatomic gas is compressed isothermally in a...

    Text Solution

    |

  5. The value closest to the thermal velocity of a helium atom at room tem...

    Text Solution

    |

  6. Two moles of helium are mixed with n moles of hydrogen. If (Cp)/(Cv)=(...

    Text Solution

    |

  7. A Carnot's engine works as refrigerator between 250 K and 300K. It r...

    Text Solution

    |

  8. The mass of hydrogen molecule is 3.32xx10^(-27) kg. If 10^(23) hydroge...

    Text Solution

    |

  9. Two moles of an ideal monatomic gas occupies a volume V at 27 °C. The ...

    Text Solution

    |

  10. Two Camot engines A and B are operated in series. The first one, A , r...

    Text Solution

    |

  11. A mass M = 15 g of nitrogen is enclosed in a vessel at temperature T =...

    Text Solution

    |

  12. A mixture of 2 moles of helium gas ( (atomic mass)=4a.m.u ) and 1 mole...

    Text Solution

    |

  13. A gas can be ken from A to B via two different processes ACB and ADB. ...

    Text Solution

    |

  14. Two kg of a monoatomic gas is at a pressure of 4 xx 10^(4) N//m^(2). T...

    Text Solution

    |

  15. Half mole of an ideal monoatomic gas is heated at constant pressure of...

    Text Solution

    |

  16. Three Carnot engines operate in series between a heat source at a temp...

    Text Solution

    |

  17. In a process, temperature and volume of one mole of an ideal monoato...

    Text Solution

    |

  18. A gas mixture consists of 3 moles of oxygen and 5 moles of argon at te...

    Text Solution

    |

  19. A rigid diatomic ideal gas undergoes an adiabatic process at room temp...

    Text Solution

    |

  20. A vertical closed cylinder is separated into two parts by a frictionle...

    Text Solution

    |