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Some Basic Concepts of Chemistry Test - 52

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Some Basic Concepts of Chemistry Test - 52
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  • Question 1
    1 / -0
    The mass of a molecule of the compound $$C_{60}H_{122}$$ is __________.
    Solution
    Molecular mass of $$C_{60}H_{122}=(60 \times 12+1 \times 122)=720+122=842$$

    Hence, one mole contains $$6.022 \times 10^{23}$$ molecules 

    Therefore, 

    Mass of one molecule $$=\frac{842}{6.022 \times 10^{23}}$$

    $$=1.4 \times 10^{-21}\;g$$

    The correct option is A.

  • Question 2
    1 / -0
    According to the $$CaCO_3+HCl\rightarrow CaCl_2 +CO_2 + H_2O$$. What mass of $$CaCO_3$$ is required to react completely with $$25$$ml. of $$0.75M$$ $$HCl$$?
    Solution
    Using morality, Number of moles are calculated for $$1000\;ml$$ or $$1\;L$$ of the solution.
    $$1000\;ml$$ contains $$0.75\;M \;HCl$$
    $$HCl=0.75$$ mole.
    Therefore, $$25\;ml$$ of $$0.75\;M$$ HCl will contains $$HCl =\dfrac{0.75 \times 25}{1000}=0.01875\;mole$$
     $$2$$ moles of $$HCl$$ reacts with $$=1\;mole$$ of $$CaCO_3$$
    Therefore,
    $$0.01875$$ mole of $$HCl$$ will react with $$=\dfrac{1 \times 0.01875}{2}$$
    $$=0.009375\;mole$$
    Molar mass of $$CaCO_3=100\;g$$
    Hence, the mass of $$0.009375$$ of $$CaCO_3=no.\;of\;moles \times molar\;mass=0.9375\;g$$
  • Question 3
    1 / -0
    Two flasks $$A$$ and $$B$$ of $$500$$ mL each are respectively filled with $$O_2$$ and $$SO_2$$ at $$300$$K and $$1$$ atm pressure. The flasks contain:
    Solution
    According to Avogadro's Hypothesis: Equal volumes of all gases contain equal number of atoms under similar conditions of temperature and pressure. So, the correct option will be '$$A$$'.
  • Question 4
    1 / -0
    15 g of methyl alcohol is present in 100 mL of solution. If the density of solution is 0.96 g $${ mL }^{ -1 }$$, Calculate the mass percentage of methyl alcohol in solution.
    Solution
    Mass of methyl alcohol = 15 g
    Volume of the solution = 100 ml
    Density = $$0.96 gm L^-$$$$^1$$
    So. Density = $$\dfrac{mass}{volume}$$
    mass = 100 $$\times$$ 0.90 = 96 g
    Mass percentage  of methyl alcohol = $$\dfrac{ mass\ of\ methyl\ alcohol}{mass\ of\ solution}$$ $$\times$$ 100
    = $$\dfrac{1500}{96}=15.66\%$$ 
  • Question 5
    1 / -0
    $$AgNO_3 $$ sample is 85% by mass. To prepare $$12.5\ m $$ of 0.05 molar $$AgNO_3$$ solution, $$AgNO_3$$ sample  required is:
    Solution
    Given, percentage purity of $$\mathrm{AgNO}_{3}$$ Sample $$=85 \%$$
    We are to prepare $$125 \mathrm{~mL}$$ solution haring molarity $$=0.05$$.

    Thus, moles of pure $$\mathrm{AgNO}_{3}$$ needed = Volume $$\times$$ molarity

    $$\begin{array}{l}=\dfrac{125}{1000} \times 0.05\mathrm{mo}\\=6.25\times 10^{-3} \mathrm{~mol} .\end{array}$$

    weight of pure $$\operatorname{AgN} O_{3}$$ needed $$=\left(6.25 \times 10^{-3}\right) \times 170\mathrm{gm}$$

    $$=1.0625 \mathrm{gm} .$$
    Let, mass of $$AgNO_3$$ sample required = $$m$$ gm.
    $$\begin{array}{l}\text { Thus, } m \times \dfrac{85}{100}=1.0625 \\\therefore \quad m=1.0625\times\dfrac{100}{85}\mathrm{gm}=1.25\mathrm{gm}\end{array}$$
    So, correct option is (B)
  • Question 6
    1 / -0
    A gas cylinder was found unattended in a public place. The investigating team took the collected samples from it. The density of the gas was found to be $$2.380\ g L^{-1}$$ at $$15^oC$$ and pressure. Hence the molar mass of the gas is:
    Solution
    Applying ideal gas  law,
    $$PV = nRT$$
    $$P = \dfrac{wt}{Mwt\times Volume}\times RT$$

    $$Mwt = \dfrac{d}{P}\times RT = \dfrac{2.380}{1}\times 0.0821\times 288 = 58$$
  • Question 7
    1 / -0
    What is the mass of the precipitate formed when $$50$$mL of $$16.9$$% solution of $$AgNO_3$$ is mixed with 
    $$50$$ mL of $$5.8$$% $$NaCl$$ solution ?
    (Ag = $$107.8$$, N =$$14$$, O = $$16$$, Na = $$23$$, $$Cl = 35.5$$)
    Solution
    $$50mL\,\, 16.9\%\,AgNO_3=\dfrac{50\times 16.9}{100\times 169}=0.5mol\,AgNO_3$$

    $$50mL\,\,15.8\%\,NaCl=\dfrac{50\times 5.8}{100\times 5.8}=0.05mol\, NaCl.$$

    $$AgNO_3\underset{aq}{+}NaCl\underset{aq}{\rightarrow} AgCl\downarrow +NaNO_3(aq)$$
       $$ 0.05$$             $$0.05$$            -                   -
            -                   -             $$0.05$$             $$0.05$$

    molecular mass of $$AgCl$$=143.3

    mass of ppt$$(AgCl)$$ =$$0.05\times 143.3$$
                         $$=7.1gm$$

    Hence, option $$A$$ is correct.
  • Question 8
    1 / -0
    3.49g of ammonia at STP occupies a volume of 4.48 $${ dm }^{ 3 }$$ calculate the molar mass of ammonia. 
    Solution
    Volume = 4.48 $$dm^3$$ = 4.48 L
    Gram Molecular Mass = 22.4 L at STP
    So,
    4.48 L of ammonia gas weighs = 3.49 g
    22.4 L of ammonia weighs = $$\frac{22.4 \times 3.49}{4.48}$$
    = 17. 45 g / mol
  • Question 9
    1 / -0
    The number of atoms of the $$He$$ in $$104\ amu$$ is:
    Solution
    Since the mass of one atom of He = 4 a.m.u
    Therefore the number of atoms of the He in 104 amu is, $$\dfrac { 104 }{ 4 } =26$$.
  • Question 10
    1 / -0
    Pehal and Ishaan were making $$100g$$ sugar solution with concentration by mass $$20\%$$ and $$50\%$$ respectively. Pehal added $$20 g$$ of sugar in her solution whereas ishaan evaporated $$20 g$$ of water from his solution. Now, the solutions were mixed to form a final solution, The concentration by mass of final solution is:
    Solution
    For Pehal:- a mass of sugar= $$20g$$
                        mass of water=$$80g$$
    The new mass of sugar=$$20+20=40g$$
    $$\therefore$$Concentration of sugar= $$\cfrac { 40 }{ 120 } \times 100=33.33$$%
    For Ishaan:- mass of sugar= mass of water= $$50g$$
    New mass of water= $$50-20=30g$$
    $$\therefore$$ Concentration of sugar= $$\cfrac { 50 }{ 80 } \times 100=62.5$$%
    Concentration by mass of final solution= $$\cfrac { New\ mass\ of\ sugar\ in\ Pehal+Mass\ of\ sugar\ in\ Ishaan }{ New\ mass\ of\ solution\ in\ Pehal+New\ mass\ of\ solution\ in\ Ishaan } $$
    =$$\cfrac { 40+50 }{ 120+80}$$
    =$$45$$%
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