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5 January, 17:54

You have a sample of zinc (Zn) and a sample of aluminum (Al). You have an equal number of atoms in each sample. Which of the following statements concerning the masses of the samples is true?

A. The mass of the zinc sample is more than the mass of the aluminum sample, but it is not twice as great.

B. The masses of each sample are equal.

C. The mass of the aluminum sample is more than the mass of the zinc sample, but it is not twice as great.

D. The mass of the zinc sample is more than twice as great as the mass of the aluminum sample.

E. The mass of the aluminum sample is more than twice as great as the mass of the zinc sample.

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Answers (1)
  1. 5 January, 18:07
    0
    ans-D

    Explanation:

    As given in question

    number of atoms in each sample are equal,

    Suppose number of atoms in each sample=X;

    number of mole = number of molecule (N) / Avogadro number (NA);

    Number of mole of Zn=X/NA;

    Number of mole of Al=X/NA;

    Where NA=avogadro number;

    Mass of Zn sample=mole * molecular weight of Zn

    Mass of Zn sample = (X/NA) * 65

    Mass of Al sample=mole * molecular weight of Al

    Mass of Al sample = (X/NA) * 27;

    Thus masses are:

    Mass of Zn sample = (X/NA) * 65

    Mass of Al sample = (X/NA) * 27

    from above value it is clearly that mass of Zn is more than twice of mass of Al

    that is Massof Zn>2*Mass of Al

    hence option D is correct
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