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Atoms and Molecules Test - 29

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Atoms and Molecules Test - 29
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  • Question 1
    1 / -0
    The formula unit mass of $$Ca_3 (PO_4)_2$$ is :
    Solution
    Mass of $$Ca_3 (PO_4)_2$$  
    $$= (3 \times $$ atomic mass of Ca$$) + (2 \times$$ atomic mass of phosphorus$$) + (8 \times $$atomic mass of oxygen)  $$= 3\times 40+2\times31+8\times16 = 310$$
  • Question 2
    1 / -0
    Which of the following obeys the law of constant proportions in their formation?
    Solution
    The Law of constant proportion is the rule where elements combine in a fixed proportion by mass.
    Thus compounds are the kind that is formed from a fixed proportion of elements.
    For example, Water $$\rightarrow H_2O$$ is obtained from any source of water like a river, lake, pond. Here the ratio of $$H$$ and $$O$$ will be always $$2:1$$.
    Hence, option B is correct.
  • Question 3
    1 / -0
    The number of atoms in one mole of a substance is equal to ................ ?
    Solution
    Avagadro's number is the number of units in one mole of any substance, equal to $$6.023\times10^{23}$$. The units may be electrons, ions or molecules depending on nature of the substance & character of the relation.
    $$\Rightarrow$$ If one mole$$=[6.023\times10^{23}]$$, then number of atoms is Avagadro's number.

  • Question 4
    1 / -0
    Rahul dropped 150 g of marble chips into 1 kg of HCl solution containing 0.1 of its weight of pure acid. The mass of marble chips that remained undissolved will approximately be:

  • Question 5
    1 / -0
    Calculate the molecular mass of the caustic potash :
    Solution
    Potassium has valency $$ +1$$ and is represented as $$K^+$$, hydroxyl has valency $$-1$$ and is represented as $$OH^-$$. Caustic potash is $$KOH.$$ Molar mass - $$(39 +16+1) = 56 g  mol^{-1}$$
  • Question 6
    1 / -0
    The molecular weight of calcium carbonate $$CaCO_{3}$$ is:
    Solution
    Molecular weight is the mass of whole molecule.
    Steps:- (1) Chemical formula of calcium carbonate $$\longrightarrow CaCO_3$$
    (2) Mass of Calcium$$\longrightarrow 40$$
         Mass of Carbon$$\longrightarrow 12$$
         Mass of Oxygen$$\longrightarrow 16$$
    (3) Multiply mass of each element by number of atoms of that element.
    (4) Add all the masses obtained after multiplication.
    $$\longrightarrow CaCO_3$$
    $$=1\times 40+1\times 12+3\times 16$$
    $$=40+12+48$$
    $$=100$$.
  • Question 7
    1 / -0
    The weight of $$100$$ molecules of each of the following substances is:
    (a) Chlorine gas
    (b) Calcium oxide
    Solution
    Number of molecules $$=N_m$$ $$=100$$

    Weight of 100 molecules $$=m$$

    We know, $$N_m=\dfrac{m}{MW}\times 6.023\times 10^{23}$$

    $$\Rightarrow {m}=\dfrac{N_m\times MW}{6.023\times 10^{23}} $$      .....(1)

    Let us apply the equation (1) to each of the given cases - 

    (a) Chlorine gas  (MW= $$71$$ g/mol)

    $$m \ = \dfrac{100\times 71}{6.023\times 10^{23}}$$

          $$=11.78\times 10^{-21}$$ g

    (b) Calcium oxide  (MW= $$56$$ g/mol)

    $$m=\dfrac{100\times 56}{6.023\times 10^{23}}$$

         $$=9.29\times 10^{-21}$$ g
    Option $$D$$ is correct.
  • Question 8
    1 / -0
    Total number of atoms in 20 g of calcium carbonate is ________.
    Solution
    number of moles in $$20$$ g of $$CaCO_3$$

    $$1$$ molecule has $$5$$ atoms.

    $$20$$ of calcium carbonate has $$\Rightarrow \dfrac{20}{100}\times 5 \times N_A$$
                                                    
                                                     = $$N_A$$

    Hence, option $$A$$ is the answer.
  • Question 9
    1 / -0
    Avogadro's number is ?
    Solution

    Correct option: $$A$$

    Explanation:

    • Avagadro’s number is a number of particles(electrons, protons, etc.) found in a mole of a substance.

    • Conversion between moles and grams depends on Avogadro's number.

    • Avogadro's number has value  $$6.022 \times10^{23}$$.

    • For example: $$1$$ mole of $$C = $$ $$12 \ g = $$  $$6.022 \times 10^{23}$$ molecules

  • Question 10
    1 / -0
    The ratio by mass of sulphur and oxygen in $$SO_2$$ is:
    Solution
    In $$SO_{2}$$, molar mass of S = $$32\ g\ mole^{-1}$$ & molar mass of $$O_{2}$$ = $$32\ g\ mol^{-1}$$.

    Therefore the ratio of their masses = 32:32 = 1:1.
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