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Atoms and Molecules Test - 28

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Atoms and Molecules Test - 28
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  • Question 1
    1 / -0
    A sample of vitamic C is known to contain $$2.58 \times10^{24}$$ oxygen atoms. How many moles of oxygen atoms are present in the sample?
    Solution
     $$6.023 \times 10^{23}$$ atoms = $$1$$ mole of oxygen atoms

    $$\therefore$$ Number of moles of oxygen atoms in $$2.58 \times 10^{24}$$ atoms $$= \dfrac {2.58 \times 10^{24}}{6.023\times 10^{23}} = 4.28\ mol$$

    $$\therefore 4.28$$ moles of oxygen atoms are present in the sample.

    Hence, the correct answer is option $$D$$.
  • Question 2
    1 / -0
    Which has more number of atoms: $$100$$ g of $$N_2$$ or $$100$$ g of $$NH_3$$?
    Solution
    Atomic mass of N = 14 u
    Atomic mass of H = 1 u

    Number of moles = $$\dfrac {Mass}{Molar\ Mass}$$

    $$(i) \ 100 g \ N_2$$ $$= \dfrac {100}{(14 \times 2)}$$ moles $$= \dfrac {100}{28}$$ moles

    Number of $$N_2$$ molecules $$= \dfrac {100}{28} \times 6.022 \times 10^{23}$$

    1 molecule of $$N_2$$ has 2 atoms. So, number of $$N$$ atoms $$= \dfrac {100}{28} \times 6.022 \times 10^{23}\times 2 = 43.01 \times 10^{23}$$ atoms

    $$(ii) \ 100 g  \ NH_3 = \dfrac {100}{14 + (3 \times 1)} = \dfrac {100}{17}$$ moles

                               $$= \dfrac {100}{17} \times 6.022 \times 10^{23}$$ molecules

                               $$= \dfrac {100}{17} \times 6.022 \times 10^{23} \times 4$$ atoms (since one molecule of $$NH_3$$ has 4 atoms.)

                               $$= 141.69 \times 10^{23}$$ atoms

    $$\therefore$$ $$NH_3$$ would have more atoms
  • Question 3
    1 / -0
    Raunak took 5 moles of carbon atoms in a container and Krish also took 5 moles of sodium atoms in another container of same weight. Whose container has more number of atoms?
    Solution
    Equal moles of different atoms contain the same number of atoms.

    1 mole has $$6.023\times 10^{23}$$ atoms.

    Both have 5 moles of atoms. 

    Therefore, the number of atoms $$= 5\times 6.023\times 10^{23}$$.

    Hence the correct option is C.
  • Question 4
    1 / -0
    The visible universe is estimated to contain $$10^{22}$$ stars. How many moles of stars are present in the visible universe?
    Solution
    1 mole of stars equals $$6.023 \times 10^{23}$$ stars
    $$\therefore $$  Number of moles of stars $$= \dfrac{10^{22}}{N_A}$$ $$=\dfrac {10^{22}}{6.023 \times 10^{23}}$$$$= 0.0166$$ moles

    Option $$D$$ is correct.
  • Question 5
    1 / -0
    Cations and anions present (if any) in $$NH_4NO_3$$ are :
    Solution
    Ions present in $$NH_4NO_3$$ are:
    Cations$$\rightarrow NH_4^+$$
    Anions$$\rightarrow NO_3^-$$
  • Question 6
    1 / -0
    A sample of pure water, irrespective of source, contains 88.89% oxygen and 11.11% hydrogen
    by mass. The data supports the:
    Solution
    According to the law of constant composition in a given compound, the elements always combine in the same proportion as each other.

    Water($$H_{2}O$$) molecule consists of two hydrogen atoms of relative mass 1 and one oxygen atom of relative mass 16. 

    Therefore, the ratio in which 2 atoms of hydrogen and one atom of oxygen are combined is $$1:8$$ and will always be the same irrespective of the source of water.

    Therefore, the correct option is $$B$$
  • Question 7
    1 / -0
    The formula and molecular mass of common salt is :
    Solution
    Molecular formula of common salt (sodium chloride) is$$ NaCl.$$ Its molar mass is $$23 + 35.5 = 58.5 g mol^{-1}$$
  • Question 8
    1 / -0
    $$10.0\ g$$ of $$CaCO_{3}$$ on heating gave $$4.4\ g$$ of $$CO_{2}$$ and $$5.6\ g$$ of $$CaO$$. This observation is in agreement with the:
    Solution
    $$CaCO_{3}\rightarrow   CaO    +  CO_{2}$$
      10 gm         5.6 gm      4.4 gm

    Mass of $$CaCO_{3}\: (10\ gm) =$$ Mass of $$CaO\ (5.6\ gm)$$ + Mass of $$CO_{2}\ (4.4\ gm)$$

    Hence, it proves the law of conservation of mass.
  • Question 9
    1 / -0
    Combined atoms have more:
    Solution
    It has been observed that a system that has minimum energy is stable. The theory of chemical bonding shows that the formation of the chemical bonds decreases the potential energy of the system. Hence, two atoms combine to attain a state of lower potential energy and thus acquire more stability.
    Example: Sodium electronic configuration
    $$Na\longrightarrow 1s^22s^22p^63s^1$$ or $$2,8,1$$
    $$(Z=11)$$
    Chlorine electronic configuration
    $$Cl\longrightarrow 1 s^2 2s^2 2p^6 3s^2 3p^5$$ or $$2,8,7$$
    $$(Z=17)$$

    $$\underset {2,8,1}{Na}+\underset {2,8,7}{Cl}\longrightarrow \underset {2,8}{Na^+}+\underset {2,8,8}{Cl^-}$$

    Sodium is less stable with $$2,8,1$$ electronic configuration and more stable with $$2,8$$ electronic configuration. Similarly, chlorine is more stable with $$2,8,8$$ configuration, because both have a complete octet.
    $$Na^++Cl^-\longrightarrow Na^+Cl^-$$ Atoms combined by an ionic bond. Both are more stable in a combined state.
  • Question 10
    1 / -0
    The formula and molecular mass of ethanol is:
    Solution
    Molecular formula of ethanol is $$C_2H_5OH $$. 

    Molar mass of $$= C_2H_6O  =  2 \times 12 + (6 \times 1) + 16 = 46 g mol^{-1}$$
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