Home
Class 11
PHYSICS
By what percentage should the pressure o...

By what percentage should the pressure of a given mass of a gas be increased so as to decrease its volume by `10%` at a constant temperature?

Text Solution

Verified by Experts

According to Boyle.s law,
`(P+DeltaP)(V-DeltaV)=PV`
`(P+DeltaP)(V-0.1V)=PV`
`PV+V DeltaP-0.1PV-0.1VDeltaP=PV`
`0.9V DeltaP=0.1PV`
`(DeltaP)/(P)=(1)/(9)`
`"Percentage increase"=(DeltaP)/(P)xx100=(100)/(9)=11.1`
Percentage increase `=11.1%`
Promotional Banner

Topper's Solved these Questions

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (2 Marks Questions)|25 Videos

  • GRAVITATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|18 Videos

  • KINEMATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (LONG ANSWER QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

At constant pressure, volume of given mass of gas is proportional to ...

Assertion : Critical temperature of CO_(2) is 304K, it can be liquefied above 304K. Reason : For a given mass of gas, volume is to directly proportional to pressure at constant temperature

Assertion : The air pressure in a tyre of a bus increases during driving. Reason : The pressure of a given mass of a gas is inversely proportional to its volume. Choose the correct choice from the following.

The pressure of a gas contained in a closed vessel is increased by 0.4% when when heated by 1^(@)C . The initial temperature was

In a isothermal process on an ideal gas, the pressure increases by 0.5% . The volume decreases by about.

Mass percentage is independent of temperature .

FULL MARKS-HEAT AND THERMODYNAMICS-ADDITIONAL QUESTIONS SOLVED (Numerical Problems)
  1. The length of a metal wire is l(1) when the tension in it is T(1) and ...

    Text Solution

    |

  2. A Steel rod of length 25 cm has a cross - sectional area of 0.8cm^(2)....

    Text Solution

    |

  3. The temperature at the bottom of a 40 m deap lake is 12^(@)C and that ...

    Text Solution

    |

  4. A jar 'A' is filled with an ideal gas characterised by parameters P, V...

    Text Solution

    |

  5. By what percentage should the pressure of a given mass of a gas be inc...

    Text Solution

    |

  6. A flask is filled with 13 g of an ideal gas at 27^(@)C and its tempera...

    Text Solution

    |

  7. A rod of metal - 1 of length 50.0 cm elongates by 0.10 cm when it is h...

    Text Solution

    |

  8. A balloon is filled at 27^(@)C and 1 atm pressure by 500m^(3) He. Then...

    Text Solution

    |

  9. During an experiment an ideal gas is found to obey an additional law V...

    Text Solution

    |

  10. Two vessels separately contain two ideal gases A and B at the same tem...

    Text Solution

    |

  11. For a gas the difference between the two specific heates is 4150 J/Kg ...

    Text Solution

    |

  12. A mass of ideal gas at pressure P is expanded isothermally to four tim...

    Text Solution

    |

  13. A carnot engine operating between temperature T(1) andT(2) has efficie...

    Text Solution

    |

  14. A perfect gas goes from state A to state B by absorbing 8xx10^(5)J of ...

    Text Solution

    |

  15. A Carnot engine having an efficiency of eta = (1 / 10) as a heat engin...

    Text Solution

    |

  16. An ideal gas compressed to half its initial volume by means of several...

    Text Solution

    |