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Some Basic Concepts of Chemistry Test - 62

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Some Basic Concepts of Chemistry Test - 62
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  • Question 1
    1 / -0

    The composition of a sample of wustite is $$ Fe_{0.95} O_{1.00}. $$ What is the percentage of  Fe(III) in the sample?

    Solution
    The composition of a sample of wustite is $$Fe_{0.95}O$$. Formula of ferric oxide is $$FeO$$. So,number of $$Fe^{+2}$$ ion missing=0.05
    Each $$Fe^{+2}$$ ion contains +2 charge. So total charge missing =2 $$\times$$0.05=0.10.
    To maintain electrical neutrality the 0.10 positive charge is compensated by $$Fe^{+3}$$ ions.
    Replacement of one ferrous ion by one ferric ion increases +1 charge. So no of  ferric ions required to compensate the 0.10 charge is 0.10.
    So 0.95 $$Fe^{+2}$$ ions require 0.1 $$Fe^{+3}$$ ions
    So, in 100 Fe atoms, percentage of $$Fe^{+3}$$ is = $$(.1/.95)\times 100$$=10.52
  • Question 2
    1 / -0
    $$1.0\ g$$ of $$Mg$$ is burnt with $$0.28\ g$$ of $$O_{2}$$ in a closed vessel. Which reactant is left in excess and how much?
    Solution
    $$2Mg + O_{2}\rightarrow 2MgO$$

    $$\therefore 1\ mole$$ of $$O_{2}$$ reacts with $$2$$ moles of $$Mg$$

    $$\because$$ Moles of $$O_{2} = \dfrac {0.28}{32} = 0.00875$$

    $$0.00875\ mole$$ of $$O_{2}$$ reacts with $$\dfrac {2}{1} \times 0.00875\ moles$$ of $$Mg$$

    $$= 0.0715\ Moles$$ of $$Mg$$

    Hence, mass of magnesium that reacts  $$= moles\times molar\ mass$$
     
                                                                        $$=  0.0715\times 24 = 0.42\ g$$

    That means, out of the $$1\ g$$ of $$Mg$$, only $$0.42\ g$$ is used.

    Therefore magnesium is in excess  by $$(1 - 0.42) = 0.58\ g$$.

    Hence, option $$B$$ is correct.
  • Question 3
    1 / -0
    Percentage of oxygen in urea is about :
  • Question 4
    1 / -0
    A sample of clay contains $$50\%$$ silica and $$10\%$$ water. The sample is partially dried by which it loses $$8\ g$$ water. If the percentage of silica in the partially dried clay is $$52$$, what is the percentage of water in the partially dried clay?
    Solution
    Let weight of clay is $$x\ gm$$
    $$\therefore \ $$ Weight of silica $$=\dfrac {50}{100}\times x$$

                                     $$=0.5\ x\ gm$$

    $$\therefore \ $$ Weight of water $$=\dfrac {10}{100}\times x=0.1\ x\ gm$$
    Now,
    $$8\ gm$$ water is reduced
    $$\therefore \ $$ weight of clay $$=(x-8)\ gm$$

    Weight of silica $$=\dfrac {52}{100}\times (x-8)\ gm$$

    $$=(0.52 \ x-4.16)\ gm$$

    Now, Weight of silica in both case are equal.
    $$\therefore \ 0.5\ x=0.52\ x-4.16$$

    $$0.02\ x=4.16$$

    $$\therefore \ x=208\ gm\ =$$ weight of clay initially.

    $$\therefore \ $$ weight of water $$=0.1\ x=20.8\ gm$$

    Now, $$8\ g$$ water is reduced.

    $$\therefore \ $$ Weight of water $$=20.8-8\ x =12.8\ gm$$

    Weight of clay $$=208-8\ gm=200\ gm$$

    $$\therefore \ \%$$ of water $$=\dfrac {12.8}{200}\times 100=6.4\%$$
  • Question 5
    1 / -0
    Compound Q contains $$40\%$$ carbon by mass.
    What could Q be?
    $$1$$. glucose, $$C_6H_{12}O_6$$
    $$2$$. starch, $$(C_6H_{10}O_5)_n$$
    $$3$$. sucrose, $$C_{12}H_{22}O_{11}$$.
    Solution
    $$\text{percentage mass of C}=\dfrac{\text{mass of C X 100%}}{\text{total mass}}$$

    $$\text{1. percentage of C in glucose=40%}$$
    $$\text{2. percentage of C in starch=44%}$$
    $$\text{3. percentage of C in sucrose=42%}$$
  • Question 6
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    A mixture of $$He(4)$$ and $$Ne(20)$$ in a $$5-$$litre flask at $$300\ K$$ and $$1$$ atm weighs $$4\ g$$. The mole $$\%$$ of $$He$$ is
    Solution
    Using $$PV=nRT$$

    $$n= \dfrac{PV}{RT} = \dfrac{1 \times 5}{0.082}{300} =0.203 \ moles $$

    Let the amount of $$He$$ in the mixture be $$x$$ , thus amount of $$Ne$$ = $$4-x$$ g

    Total moles = 0.203
    $$\therefore \dfrac{x}{4} + \dfrac{4-x}{20} = 0.203$$

    $$x= 0.012 \ g$$

    Thus moles of $$He$$ in the mixture is $$\dfrac{0.012}{4} = 0.003$$

    which is 2% moles of the mixture.
  • Question 7
    1 / -0
    What is involved in $$CO_2$$ and $$CH_4$$ inclusion?
  • Question 8
    1 / -0
    A certain mixture of $$MnO$$ and $$MNO_2$$ contains $$66.6\ mol$$ per cent of $$MnO_2$$. What is the approximate mass percent of $$Mn$$ in it? $$(Mn=55)$$  
    Solution
    Man of $$MnO=66.67\times 70.93$$
    $$=4728.9\ g$$
    man of $$MnO_2=33.33\times 86.93$$
    $$=2897.37$$
    Total man $$=4728.9+2897.37$$
    $$=7626.2\ g$$
    man of $$Mn=55\times 100=5500$$
    $$\%Mn=\dfrac {5500}{7626.2}\times 100$$
    $$=72.11\%$$
  • Question 9
    1 / -0
    A sample of impure cuprous oxide contains $$66.67\%$$ copper, by ,mass. What is the percentage of pure $$Cu_2O$$ in the sample? $$(Cu=63.5)$$ 
    Solution
    $$100\ gm$$ of sample contains $$=66.6\ gm$$
    mole of $$Cu=\dfrac {66.6}{63.6}=1.05\ mole$$
    $$1$$ mole of oxygen in $$2$$ mole $$Cu$$
    $$2$$ mole of $$Cu$$ is with $$1$$ mole oxygen
    $$1.05$$ mole contains $$\dfrac {1}{2}\times 1.05$$
    weight of oxygen $$=52\times 16=84$$
    pure $$Cu_2O=66.6+8.42$$
    $$=75$$
  • Question 10
    1 / -0

    Directions For Questions

    A sample of hydrogen fluoride gas (only $$HF$$ molecules) is collected in a vessel and left for some time. Then a constant molar mass of the sample is experimentally determined as $$34\ g/mole$$. Assume that this abnormal molar mass due to dimerization as well as trimerization of some $$HF$$ molecules (no molecules in any other polymeric fomrs) and the mole ratio of monomeric and trimeric from of hydrogen fluoride molecules present is $$4:1$$

    ...view full instructions

    What percentage of hydrogen fluoride molecules is trimerized?
    Solution
    Consider mole of $$HE=4$$
    $$H_{3}F_{3}=1$$ then $$HF$$ in it $$=1$$ molecules 
    $$H_{2}F_{2}=y$$ then $$HF$$ in it $$=2$$ molecules
    Total mole $$=4+1+y=5+y$$
    $$X_{HE}=\dfrac{4}{5+0}, X_{H_{2}F}=\dfrac{y}{5+y}, X_{H_{3}F_{3}}=\dfrac{1}{5+y}$$
    $$20\left(\dfrac{y}{5+y}\right)+40\left(\dfrac{4}{5+y}\right)+60\left(\dfrac{1}{5+y}\right)=34$$
    $$80+40y+60=170+94 y$$
    $$40y-34y=170-140$$
    $$6y=30$$
    $$y=5$$
    Total molecular $$m$$ monomer $$=4$$
    dimmer $$=5\times 2=10$$
    trimer $$=1\times 3=3$$
    Total molecules $$=4+10+3=17$$

    $$(5)\ \%$$ trimer $$=\dfrac{3}{17}\times 10=17.64\%$$ Option $$(d)$$

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