Home
Class 12
CHEMISTRY
Assuming the age of the earth to be 10""...

Assuming the age of the earth to be `10""^(10)` yaers, the perccentage of original amount of `U""^(238)` is still in existance on earth is x/10% (nearly)(`T""_(1//2)ofU""^(238)is 4.5xx10""^(9)`years). Then 'x' is

Text Solution

Verified by Experts

The correct Answer is:
2

`N/N""_(0)=(e""^(-0.693))""^(t/t""_(1//2)`
`N/N""_(0)=((1)/(2))""^(t/t""_(1//2))=N/N""_(0)=(1/2)""^(2.22)orN=N""_(0)/2""^(n)`
Promotional Banner

Topper's Solved these Questions

  • NUCLEAR CHEMISTRY

    NARAYNA|Exercise MATRIX MATCH|9 Videos
  • METTALURGY

    NARAYNA|Exercise Statement Typer Question|2 Videos
  • ORGANIC COMPOUNDS CONTAINING NITROGEN

    NARAYNA|Exercise EXERCISE-4|30 Videos

Similar Questions

Explore conceptually related problems

A rock is found to contain U-238 and Pb-206 in the ratio of 3 : 2. If t""_(1//2) of U-238 is 4.5xx10""^(-9) years. Calculate the age rock?

Find the amount of ""_(92)U^(238) required to produce a-particles of 20 millicurie strength. The half-life of ""_(92)U^(238) is 4.5 xx 10^(9) years.

In a smaple of rock, the ration .^(206)Pb to .^(238)U nulei is found to be 0.5. The age of the rock is (given half-life of U^(238) is 4.5 xx 10^(9) years).

The number of U^(238) nuclei in a rock sample equal to the number of Pb^(206) atoms. The half life of U^(238) is 4.5xx10^(9) years. The age of the rock is

Assuming the radius of the earth to be 6.5 xx 10^(6) m. What is the time period T and speed of satellite for equatorial orbit at 1.4 xx 10^(3) km above the surface of the earth.

The isotope of U^(238) and U^(235) occur in nature in the ratio 140:1 . Assuming that at the time of earth's formation, they were present in equal ratio, make an estimate of the age of earth. The half lives of U^(238) and U^(235) are 4.5xx10^9 years and 7.13xx10^8 years respectively. Given log_(10)140=2.1461 and log_(10)^2=0.3010.

In an ore containing Uranium, the ratio of U^(238) to Pb^(206 nuceli is 3 . Calculate the age of the ore, assuming that alll the lead present in the ore is the final stable, product of U^(238) . Take the half-like of U^(238) to be 4.5 xx 10^(9) years. In (4//3) = 0.288 .

(a) On analysis a sample of uranium ore was found to contian 0.277g of ._(82)Pb^(206) and 1.667g of ._(92)Pb^(206) and 1.667g of ._(92)U^(238) . The half life period of U^(238) is 4.51xx10^(9) year. IF all the lead were assumed to have come from decay of ._(92)U^(238) , What is the age of earth? (b) An ore of ._(92)U^(238) is found to contain ._(92)U^(238) and ._(82)Pb^(206) in the weight ratio of 1: 0.1 The half-life period of ._(92)U^(238) is 4.5xx10^(9) year. Caluculate the age of ore.

In the uranium ore, the ratio of U^(238) nuclei to Pb^(206) nuclei is 2.8 . If it is assumed that all the lead Pb^(206) to be a final decay product of the uranuium series, the age of the ore is [T_(1//2) for U^(238) is 4.5xx10^(9) years]

A sample of uranium mineral was found to contain Pb^(208) and U^(238) in the ratio of 0.008 : 1. Estimate the age of the mineral (half life of U^(238) is 4.51 xx 10^(9) years).

NARAYNA-NUCLEAR CHEMISTRY-INTEGER
  1. Na""^(22) has half life of 2.68 years. It decays both by positron emis...

    Text Solution

    |

  2. In how many ways among the following given, a nuicleus with high n/p r...

    Text Solution

    |

  3. A mixture of Pu""^(239) and Pu""^(240) has specific activity of 6xx10"...

    Text Solution

    |

  4. How many types of particles among the following are emitted during the...

    Text Solution

    |

  5. Assuming the age of the earth to be 10""^(10) yaers, the perccentage o...

    Text Solution

    |

  6. The periosic table consists of 18 groups. An isotope of copper, on bom...

    Text Solution

    |

  7. Assertion (A) : Nucleus of the atom does not contain electrons,yet it ...

    Text Solution

    |

  8. Assertion (A) : gamma-rays have very high penetrating power. Reason ...

    Text Solution

    |

  9. Assertion (A) : beta-particles have greater penetrating power than alp...

    Text Solution

    |

  10. Assertion (A) : The average life of a radioactive element is infinity ...

    Text Solution

    |

  11. Assertion (A) : Half life of a radioactive isotope is the time require...

    Text Solution

    |

  12. Assertion (A) : K-shell electron capture is detected by anylizing the...

    Text Solution

    |

  13. Assertion (A) : ""(92)U""^(238)(IIIB)overset(-alpha)toAoverset(-alpha)...

    Text Solution

    |

  14. STATEMENT-1 : Specific activity of the same radioactive substance is ...

    Text Solution

    |

  15. ""(92)U""^(238) distinguish to give 4alpha,6beta-particles. The atomic...

    Text Solution

    |

  16. 100 mL of a saturated solution of M""(2)SO""(4) is giving 24 disintegr...

    Text Solution

    |

  17. ""(92)U""^(235) nucleus absorbes a neutron and disintegrate into ""(54...

    Text Solution

    |

  18. The half life of C-14 is 5600 years. A sample of freshely cut wood fro...

    Text Solution

    |

  19. The charge of gamma-particle is""""""""""""""""""

    Text Solution

    |

  20. Calculate the number of neutrons emitted when .(92)U^(235) undergoes c...

    Text Solution

    |