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Atoms and Molecules Test - 62

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Atoms and Molecules Test - 62
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  • Question 1
    1 / -0
    A gaseous mixture contains oxygen and nitrogen in the ratio of 1: 8 by mass. Therefore, the ratio of their respective number of molecules is:
    Solution
    No of Molecules = $$\dfrac{Weight}{Gram\space Molecular\space Weight} \times {N}_{A}$$

    Molecular wt of Hydrogen $${N}_{2}$$ = 28
    Molecular wt of Oxygen $${O}_{2}$$ = 32

    So Ratio of Number of molecules = $$\dfrac{1}{32} : \dfrac{8}{28}$$ = $$7 : 64$$

  • Question 2
    1 / -0
    If we consider that $$\frac{1}{6}$$, in place of $$\frac{1}{12}$$; mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will 
    Solution

  • Question 3
    1 / -0
    What is the molecular mass of sodium sulphate?
    Solution

  • Question 4
    1 / -0
    The molecular mass of $$K_2CO_3$$ is:
    Solution
    $$Molecular\ mass\ of\ K_2CO_3\ = (39 \times 2) + 12 + (16 \times 3) = 78 +12 + 48 = 138\ u$$
  • Question 5
    1 / -0
    The total number of oxygen atoms in $$0.2mol$$ of $${Na}_{2}{B}_{4}{O}_{7}.10{H}_{2}O$$ will be?
    Solution
    $$1\ mol$$ of $$Na_{2}B_{4}O_{4} \cdot 10H_{2}O$$ contains $$6.022\times 10^{23} molecules$$

    $$0.2\ mol\ Na_{2}B_{4}O_{7}\cdot 10H_{2}O \rightarrow 0.2\times 6.022\times 10^{23} molecules$$

    Then, the no. of oxygen atoms $$= 0.2\times 6.022\times 10^{23}\times 17\ atoms$$

    $$= 2.047 \times 10^{24} molecules$$

    Hence, Option (C) is correct.
  • Question 6
    1 / -0
    Number of electrons in 1.8 mL of $${H}_{2}O$$ are:
    Solution
    There is a total of 10 electrons in 1 $$ H_{2}O$$ Molecule (2 electrons from hydrogen and 8 electrons from oxygen.)

    moles of $$ H_{2}O (n) = \dfrac{mass\, of\, substance}{motor \,mass}$$

    18 g of $$H_2O$$ = 1 mole 
    mass of 1.8 ml of $$H_2O= 1.8 \ ml \times 1 \ g/ml= 1.8\ g$$          [$$\because Density \ of\  {H_2O} = 1 \ g/ml$$]

    1.8 g of water = 0.1 moles of water

    Therefore, 1.8 ml of $$ H_{2}O $$ means 0.1 mole of $$ H_{2}O$$

    Number of molecules = n$$\times $$ Avogadro Number

    Number of molecules = $$0.1 \times 6.022 \times 10^{23}$$

    $$ = 0.6022 \times 10^{23}$$

    Number of electron in total molecules of $$ H_{2}O$$ $$ = 0.6022 \times 10 ^{23} \times 10 $$

    Number of electron in total molecules of $$ H_{2}O$$ $$ = 6.022 \times 10^{23}$$
    Option $$A$$ is correct.
  • Question 7
    1 / -0
    $$10\ { dm }^{ 3 }$$ of $${ N }_{ 2 }$$ gas and $$10\ { dm }^{ 3 }$$ of gas X at the same temperature contain the same number of molecules. The gas X is
    Solution
    $$CO$$

    $$C-12,O-16$$

    $$12+16=28$$

    molar mass of $$N_2$$

    $$N_2=14+4=28$$

    Hence $$CO$$ is the answer
  • Question 8
    1 / -0
    Avogadro's number of helium atoms have a mass of
    Solution
    Here, Avogadro number of helium atoms means, $$6.023 \times 10^{23}$$ atoms of He.
    As $$6.023\times 10^{23}$$ atoms equals to $$1$$ mole of Helium. 
    $$1$$ mole of Helium has mass $$4\ g$$
    Hence, option $$B$$ is correct.
  • Question 9
    1 / -0
    If the atomic weight of oxygen were taken as $$90$$, then what would be the molecular weight of water?
    Solution
    If the atomic weight of oxygen = $$90\ g$$.
    Then the factor by which oxygens atomic mass changes is, $$\cfrac{90}{16}= 5.62$$
    If we go with the same assumption then the mass of hydrogen will also get change by the same factor. So, a new mass of two hydrogen atoms will be,
    $$5.62\times 2=11.24 g$$

    now, a total mass of water would be, $$90+11.24=101.25\ g$$

    Hence, the correct option is (A).
  • Question 10
    1 / -0
    $$AB_2$$ and $$A_2B_2$$ are two compounds of the elements A and B. 0.25 mole of each of these compounds weights 9 g and 16 g respectively. Find the atomic masses of A and B. 
    Solution

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