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Some Basic Concepts of Chemistry Test - 24

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Some Basic Concepts of Chemistry Test - 24
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  • Question 1
    1 / -0
    $$800$$ g of a $$40\%$$ solution by weight was cooled. $$100$$ g of solute was precipitated. The percentage composition of remaining solution is :
    Solution
    $$\displaystyle Solute \: present \: in \: 800 \: g \: solution=800\times \frac{40}{100}$$$$=320 \: g$$

    $$Solute \: precipitated = 100 \: g$$

    $$Solute \: left =220 \: g$$

    $$\therefore Total \: weight \: of \: solution = 800 - 100 = 700 \: g$$
     
    $$700 \: g \: solution \: has \: solute =220$$

    $$\displaystyle 100 \: g \: solution \: has \: solute=\frac{220}{700}\times 
    100= 31.43$$%
  • Question 2
    1 / -0
    In diammonium phosphate $$(NH_4)_2HPO_4$$, the percentage of $$P_2O_5$$ is :
    Solution
    Molar Mass of Diammonium Phosphate $$(NH_4)_2 HPO_4$$ is $$28+8+1+31+64=132 \ grams$$
    Molar Mass of $$P_2O_5$$ is $$62+80=142 \ grams$$
    We know that $$2$$ moles of diammonium hydrogen sulphate yields $$1$$ moles of $$P_2O_5$$ i.e $$2(NH_4)_2HPO_4 \rightarrow P_2O_5$$
    Mass of $$2$$ moles of $$P_2O_5=2 \times 132 \ grams = 264 \ grams$$
    Therefore, percentage composition of $$P_2O_5 = \cfrac {Mass \ of \ P_2O_5}{Mass \ of \ 2 \ moles \ of \ (NH_4)_2HPO_4}$$
    $$=\cfrac {142}{264} \times 100 = 53.78$$%
  • Question 3
    1 / -0
    Atomic number (Z) of a neutral atom and mass number (A) of an atom are equal to: 
    (Here n = number of neutrons and p = number of protons):
    Solution
    The atomic number = Z = no. of protons = p
    The mass no. = A = no. of protons (p) + no. of neutrons(n) = n + p
  • Question 4
    1 / -0
    How many g of $$KCl$$ would have to be dissolved in $$60$$ g $${H}_{2}O$$ to give $$20\%$$ by mass of solution?
    Solution
    As we know,
    $$\%$$ by mass  $$=\displaystyle\dfrac{\text{Mass of solute}}{\text{Mass of solution}}\times 100$$

    $$ 20 = \dfrac{\text{Mass of KCl} \times 100}{\text{Mass of KCl + Mass of water}}$$

    Let, $$x$$ be the mass of KCl

    $$20=\dfrac{100x}{x+60}$$

    $$x=15 g$$

    Therefore, mass of $$KCl$$ $$ = 15 $$ g

    Hence, the correct option is $$A$$
  • Question 5
    1 / -0
    Calculate the volume occupied by 40 g. of a $$CH_4$$ at S.T.P if its V.D. is 8. 
    Solution
    Molar mass $$=2\times  vapour\ density = 2\times8 = 16 gm$$
    No of moles $$=\frac{40}{16} = 2.5$$
    So volume $$ = 2.5\times22.4 = 56\ litres$$
  • Question 6
    1 / -0
    The volume occupied by 7 grams of nitrogen gas at STP is:
    Solution
    Number of moles of nitrogen $$= \dfrac{7}{28} = \dfrac{1}{4} $$ moles

    As we know, one mole occupies 22.4 litre volume.

    Therefore, $$\dfrac{1}{4}$$ mole will occupy, $$V = \dfrac{22.4}{4} = 5.6\ litre$$
  • Question 7
    1 / -0
    Calculate the volume occupied by 0.01 moles of helium gas at STP.
    Solution
    As we know, one mole of a gaseous substance occupies 22.4 litre, so volume occupied by 0.01 mole helium is $$0.224  \ L$$.
  • Question 8
    1 / -0
    Find the weight of a substance if its molecular weight is $$70$$ and in the gaseous form it occupies $$10$$ L at $$27^oC$$ and $$760$$ mm $$Hg$$ pressure.
    Solution
    We know that 760 mm of hg is equal to 1 atm, so we use 1 atm.
    As we know,
    $$Pv=nRT\\ 1\times 10=\frac { w }{ 70 } \times 0.082\times 300\\ w=28.38g$$
  • Question 9
    1 / -0
    The percentage of $${P}_{2}{O}_{3}$$ in $${H}_{3}P{O}_{3}$$ is:
    Solution
    The reaction involved is as follows:
    $${P}_{2}{O}_{3} + 3{H}_{2}O\rightarrow 2{H}_{3}P{O}_{3}$$
    So, two moles of $$H_3PO_3$$ has one mole of $$P_2O_3$$.
    $$\therefore \%$$ of $${P}_{2}{O}_{3}\ in\ {H}_{3}P{O}_{3} = \displaystyle\frac{110\times 100}{164} =$$ $$67.07\%$$ 
  • Question 10
    1 / -0
    $$4.4$$ g of $${N}_{2}O$$ occupies $$1.23$$ litres at $$2$$ atm and $$27^oC$$. The volume occupied by same mass of $$C{O}_{2}$$ at $$2$$ atm and $$27^oC$$ is :
    Solution
    Molecular mass of $$N_2O = CO_2 = 44\ g$$

    Both have the same mass.

    Therefore, no of moles are equal for both $$N_2O$$ and $$CO_2$$.

    Avogadro's hypothesis states that equal volumes of all gases at the same temperature and pressure contain equal numbers of particles.

    Hence, Volume of $$CO_2 =$$ Volume of $$N_2O$$

                                              $$= 1.23$$ litres. 

    Hence, the correct answer is option $$\text{D}$$.
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