Home
Class 12
MATHS
The pressure P and volume V of a gas are...

The pressure P and volume V of a gas are connected by the relation `P V^(1/4=)` constant. The percentage increase in the pressure corresponding to a deminition of % in the volume is `1/2%` (b) `1/4%` (c) `1/8%` (d) none of these

Text Solution

AI Generated Solution

To solve the problem, we start with the given relation between pressure \( P \) and volume \( V \): \[ P V^{1/4} = \text{constant} \] ### Step 1: Rewrite the equation We can rewrite this equation as: ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    RD SHARMA ENGLISH|Exercise All Questions|646 Videos
  • DIFFERENTIATION

    RD SHARMA ENGLISH|Exercise All Questions|806 Videos

Similar Questions

Explore conceptually related problems

The pressure p and the volume v of a gas are connected by the relation p v^(1. 4)=con s tdot Find the percentage error in p corresponding to a decrease of 1/2 % in vdot

The pressure p and the volume v of a gas are connected by the relation p v^(1. 4)=con s tdot Find the percentage error in p corresponding to a decrease of % in vdot

The pressure P and volume V of a gas are related as PV^(3//2)=K where K is a constant. The percentage increase in the pressure for a diminution of 0.5% of the volume is

The pressure p and volume V of an ideal gas both increase in a process.

At a constant temperature what should be the percentage increase in pressure for a 10% decrease in the volume of gas ? (a) 11% (b) 20% (c) 5% (d) 50%

At a constant pressure, what should be the percentage increase in the temperature in kelvin for a 10 % increase in the volume

The relation between pressure P and volume V is givne by PV^(-(1)/(4)) = constant. If the percentage decrease in volume is (1)/(4) , then the approximate percentage increase in pressure is

If the pressure of an ideal gas at constant volume is decreased by 20% then the percentage change in temperature will be

What should be the percentage increase in pressure for a 5% decrease in volume of gas at constant temperature ?

The percentage change in the volume of the given mass of a gas at constant temperature is 50% (increases). Calculate the percentage change in the presure of the gas.

RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. Use differentials to find the approximate value of (log)e(4. 01), havi...

    Text Solution

    |

  2. If the ratio of base radius and height of a cone is 1:2 and percentage...

    Text Solution

    |

  3. The pressure P and volume V of a gas are connected by the relation P V...

    Text Solution

    |

  4. If y=x^n , then the ratio of relative errors in y and x is (a) 1:1 ...

    Text Solution

    |

  5. Find the approximate change in the volume V of a cube of side x meters...

    Text Solution

    |

  6. A circular metal plate expands under heating so that its radius inc...

    Text Solution

    |

  7. The time t of a complete oscillation of a simple pendulum of length l ...

    Text Solution

    |

  8. If y=x^4-10 and if x changes from 2 to 1.99, what is the approximate c...

    Text Solution

    |

  9. If in a triangle A B C , the side c and the angle C remain constant, w...

    Text Solution

    |

  10. Using differentials find the approximate value of tan46^0, if it is be...

    Text Solution

    |

  11. If there is an error of 2% in measuring the length of simple pendulum,...

    Text Solution

    |

  12. If a triangle ABC, inscribed in a fixed circle, be slightly varied in ...

    Text Solution

    |

  13. If an error of k % is made in measuring the radius of a sphere, then p...

    Text Solution

    |

  14. If there is an error of a% in measuring the edge of a cube, then pe...

    Text Solution

    |

  15. While measuring the side of an equilateral triangle an error of k% i...

    Text Solution

    |

  16. The height of a cylinder is equal to the radius. If an error of alpha%...

    Text Solution

    |

  17. A sphere of radius 100mm shrinks to radius 98mm, then the approximate ...

    Text Solution

    |

  18. If (log)e4-1. 3868 ,t h e n(log)e 4.01= 1.3968 (b) 1.3898 (c) 1.38...

    Text Solution

    |

  19. Find the percentage error in calculating the volume of a cubical box i...

    Text Solution

    |

  20. The approximate value of (33)^(1/5) is

    Text Solution

    |