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Some Basic Concepts of Chemistry Test - 36

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Some Basic Concepts of Chemistry Test - 36
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  • Question 1
    1 / -0
    $$3.011\times { 10 }^{ 22 }$$ atoms of an element weights $$1.15 $$ g. The atomic mass of the element is :
    Solution
    $$3.011\times { 10 }^{ 22 }$$ atoms of an element weights $$1.15 $$ g.

    $$3.011\times { 10 }^{ 22 }=\ 1.15g$$

    $$6.023\times { 10 }^{ 23 }=\ x$$?

    $$\therefore x\ =\ \dfrac { 1.15 }{ 3.011\times { 10 }^{ 22 } } \times 6.023\times { 10 }^{ 23 }=23$$ amu
  • Question 2
    1 / -0
    Mass of beaker=10g
    Mass of mixture+beaker=25g
    Mixture contains 30% sand. Find the weight of sand.
    Solution
    Mass of mixture=$$25g-10g=15g$$
    Percentage of sand=30%=$$\frac{Mass  of  sand}{Mass  of  mixture}$$
     Mass of sand =$$0.3\times15g=4.5 g$$
  • Question 3
    1 / -0
    One atomic mass is equal to
    Solution
    One atomic mass unit is equal to $$1.66 \times 10^{-24} g.$$ It is equal to 1/12th of mass of atom of Carbon-12. It is abbreviated as $$\text{u.}$$
  • Question 4
    1 / -0
    Which law is not applicable for a nuclear reaction where large amount of energy is released? 
    Solution
    The law implies that during any chemical reaction, nuclear reaction, or radioactive decay in an isolated system, the total mass of the reactants or starting materials must be equal to the mass of the products. Mass conservation remains correct if energy is not lost but if energy is released in a nuclear reaction, the law of conservation of mass does not hold any good.
  • Question 5
    1 / -0
    One atomic mass unit is equal to?

    (Given, mass of one carbon-12 atom $$= 1.992 \times 10^{-23}$$)
    Solution
    One atomic mass unit (amu or u) is equal to 1/12th of the mass of an atom of carbon-12. 

    Mass of an atom of carbon-12 $$= 1.992 \times 10^{-23}\ g$$

    1 amu $$=$$ 1/12 mass of carbon-12 atom $$= \dfrac {1}{12} \times 1.992 \times 10^{-23}$$ $$= 1.66\times 10^{-24}g$$
  • Question 6
    1 / -0
    Avogadro's number is NOT equal to:
  • Question 7
    1 / -0
    Which of the following expressions is equal to the number of iron ($$Fe$$) atoms present in $$10.0$$ g $$\displaystyle Fe$$ ? (atomic mass of $$\displaystyle Fe$$ = $$55.9$$ amu) 
    Solution
    The expression $$\displaystyle 10\times \left( 6.022\times { 10 }^{ 23 } \right)/ 55.9$$ is equal to the number of iron (Fe) atoms present in 10.0 g Fe.
    The atomic mass of Fe is 55.9 g/mol.
    The mass of Fe is 10.0 g. Mass is divided with atomic mass to obtain number of moles.
    The number of moles of Fe $$ =  \dfrac {10.0}{55.9}$$ moles.
    The number of moles is multiplied with avogadro's number to obtain the number of Fe atoms.
    The number of Fe atoms  $$ =  \dfrac {10.0}{55.9} \times 6.023 \times 10^{23}$$.
  • Question 8
    1 / -0
    If $$10$$ liters of CO gas react with sufficient amount of oxygen for a complete reaction, how many liters of $$CO_2$$ gas will be formed?
    Solution
    $$\displaystyle 2CO + O_2 \rightarrow 2CO_2  $$ 

    From the balanced equation for the combustion reaction, we can say that the number of moles of $$CO_2$$ formed is equal to the number of moles of $$CO$$ reacted.

    Also, volume of a gas is directly proportional to the number of moles.
    Hence, the volume of $$CO_2$$ formed is equal to the volume of $$CO$$ reacted.

    Hence, if 10 liters of $$CO$$ gas react with sufficient amount of oxygen for a complete reaction, 10 liters of $$CO_2$$ gas will be formed.

    Hence, the correct answer is option $$\text{B}$$.
  • Question 9
    1 / -0
    How many grams of $$\displaystyle Na$$ are present in $$30$$ g $$\displaystyle NaOH$$?
    Solution
    The molecular weight of $$NaOH$$ is 40 g/mol.
    30 g of $$NaOH$$ corresponds to $$\dfrac {30}{40} = 0.75$$ moles.
    0.75 moles of $$NaOH$$ contains 0.75 moles of $$Na$$.
    The atomic mass of $$Na$$ is 23 g/mol.
    0.75 moles of $$Na$$ corresponds to $$23 \times 0.75 = 17$$ g of $$Na$$.
  • Question 10
    1 / -0
    A metal nitride contains 28% nitrogen by weight. The molecular formula of metal nitride is $$M_3N_2$$. What is the atomic weight of metal ?
    Solution
    100 g of metal nitride will contain 28 g of nitrogen and $$\displaystyle 100-28=72$$ g of metal.
    The atomic mass of nitrogen is 14 g/mol. 

    28 g of nitrogen corresponds to  $$\displaystyle \dfrac {28}{14} = 2$$ moles.

    The formula of metal nitride is $$\displaystyle M_3N_2$$.

    2 moles of N atoms corresponds to 3 moles of metal.

    Hence, 72 g of metal is equal to 3 moles.

    The atomic weight of metal is $$\displaystyle \dfrac {72}{3}=24 \: g/mol$$.

    Hence, option D is correct.
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