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Some Basic Concepts of Chemistry Test - 53

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Some Basic Concepts of Chemistry Test - 53
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  • Question 1
    1 / -0
    A solution of ethanol in water is 10% by volume. If the solution and pure ethanol have densities of 0.9866 g/cc and 0.785 g/cc respectively. The percent by weight is nearly?
    Solution
    Volume of ethanol = 10 ml       
    Volume of solution = 100 ml
    Weight of ethanol = $$ Volume \times density $$
                                    = $$ 10 \times 0.785 $$
                                      = 7.85 g
    Weight of solution = $$ 100 \times 0.9866 $$
                                    = 98.66 g
    Weight percent of ethanol = $$\frac{7.85}{98.66}$$ $$\times 100 $$
                                                  = $$7.95\%$$
  • Question 2
    1 / -0
    $$10g$$ of glucose is dissolved in $$150g$$ of water. The mass percantage of glucose is:
    Solution
    $$10g$$ is dissolved in $$150g$$ of water
    $$\therefore$$ Mass percentage of glucose= $$\cfrac {10}{150}\times 100$$
    $$=6.67$$%
  • Question 3
    1 / -0
    A fresh $$H_2O_2$$ solution is labeled as $$11.2V$$. Calculate its concentration in wt/vol percent.
    Solution
    $$Density = \dfrac{v}{11.2} * M.wt$$
    $$d = \dfrac{11.2}{11.2} * 34 = 34$$

    $$\dfrac{wt}{v} = \dfrac{34}{11.2} = 3.03%$$

  • Question 4
    1 / -0
    In a test tube, there is $$18\ g$$ of glucose $$(C_{6}H_{12}O_{6})0.08$$ mole of glucose is taken out. Glucose left in the test tube is:
    Solution
    Moles of glucose=$$\cfrac {18}{180}=0.1$$ moles
    Moles of glucose left=$$0.1-0.08=0.02$$ moles
    $$\therefore$$ Mass of glucose left=$$0.02\times 180$$
    =$$3.6g$$
  • Question 5
    1 / -0
    The mass of $$50\%(w/w)$$ solution of $$HCl$$ required to react with $$100\ g$$ of $$CaCO_{3}$$ would be?
    Solution
    The reaction is:
    $$2HCl+CaCO_3\longrightarrow CaCl_2+CO+3H_2$$
    $$2$$ molecules of $$HCl$$ give
    $$1$$ molecule of $$CaCO_3$$
    (Molar mass)$$_{CaCO_3}=100$$ $$g$$ 
    $$100$$ $$g$$ of $$CaCO_3=1$$ $$mole$$
    So, Molar mass of $$HCl=35.5+1=36.5$$
    $$\therefore 1$$ $$mole$$ of $$HCl=36.5$$ $$g$$
    Since, we get $$2$$ $$moles$$ of $$HCl$$ from $$100$$ $$g(1$$ $$mole)$$ of $$CaCO_3$$
    Weight of $$HCl=2(36.5)$$ $$g=73$$ $$g$$
  • Question 6
    1 / -0
    One mole of a mixture of CO and $${ CO }_{ 2 }$$ requires exactly 20 g of NaOH in solution for complete conversion of all the $${ CO }_{ 2 }$$ into $${ Na }_{ 2 }{ CO }_{ 3 }$$. How much NaOH would it require for conversion into $${ Na }_{ 2 }{ CO }_{ 3 }$$, if the mixture (one mole) is completely oxidized to $${ CO }_{ 2 }$$?
    Solution
    let $$x$$ and $$y$$ mass of $$CO$$ and $$CO_{2}$$ be there 
    $$x+y=1$$
    $$2NaOH+CO^{2}\rightarrow Na_{2}CO_{3}+H_{2}O$$
    $$n$$ of $$NaOH=20/40=0.5$$
    $$\therefore 0.5/2$$ mol $$CO_{2}$$ must be there 
    $$\Rightarrow 0.25$$ mol $$CO_{2}$$ 
    $$\therefore 0.75$$ mol $$CO$$ 
    If $$CO$$ is oxidised to $$CO_{2}$$ 
    $$NaOH$$ required $$=2\times 0.75\times 40$$ 
                                  $$=60g$$
  • Question 7
    1 / -0
    Equivalent wt.of a metal is $$2.5$$ times higher than oxygen. The ratio of weight of metal to the oxide is:
    Solution
    Solution:- (A) 0.4
    Given that the equivalent weight of a metal is $$2.5$$ times higher than oxygen.
    Equivalent weight of oxygen $$= 8$$
    $$\therefore$$ Equivalent weight of metal $$=$$ equivalent wt. of oxygen $$+ \; (2.5 \; \times$$ equivalent weight of oxygen) $$= 8 + 2.5 \times 8 = 28$$
    As we know that $$\text{eq. wt.} = \cfrac{\text{mol. wt. } \left( {M}_{m} \right)}{\text{valence factor } \left( n \right)}$$
    $$\therefore$$ Molecular weight of metal $$\left( {M}_{m} \right) = 28 n$$
    Formula of metal oxide will be- $${M}_{2}{O}_{n}$$
    Molecular weight of metal oxide $$= 2 \times {M}_{m} + n \times {M}_{O} = 56n + 16 n = 72 n$$
    Ratio of weight of metal to its oxide $$= \cfrac{\text{wt. of metal}}{\text{wt. of metal oxide}} = \cfrac{28n}{72n} = 0.389 \approx 0.4$$
    Hence the required answer is $$(A) 0.4$$.
  • Question 8
    1 / -0
    $$1.5 gm$$ mixture of $${ SiO }_{ 2 }$$ and $${ Fe }_{ 2 }{ O }_{ 3 }$$ on very strong heating leave a residue weighting $$1.46 gm$$. The reaction responsible for loss of weight is
    $${ Fe }_{ 2 }{ O }_{ 3 }(s)\longrightarrow { Fe }_{ 3 }{ O }_{ 4 }(s)+{ O }_{ 2 }(g)$$
    What is the percentage by mass of $${ Fe }_{ 2 }{ O }_{ 3 }$$ in original sample?
    Solution
    $$3 Fe_2 O_3 \rightarrow 2 Fe_3 O_4 + \dfrac{1}{2} O_2 (g)$$
    Molecular mass of $$Fe_2 O_3 = 160$$
    Molecular mass of $$Fe_3 O_4 = 232$$
    Loss in mass per $$480 gm \, Fe_2 O_3 = 16 gm$$
    In this ques, loss of mass = $$0.04 gm$$
    Mass of $$Fe_2 O_3 = \dfrac{0.04}{16} \times 480$$
    $$ = 1.20 gm$$
    $$\therefore \%$$ mass of $$Fe_2 O_3 = \dfrac{1.20}{1.50} \times 100 = 80\%$$
  • Question 9
    1 / -0
    $$400mg$$ capsule contains $$100mg$$ of ferrous fumarate. The percentage of iron present in the capsule approximately is: (Mol mass of $$Fe({C}_{4}{H}_{2}{O}_{4})=170$$)
    Solution
    Molar mass of ferrous fumarate $$(C_4H_2FeO_4)=169.9$$ $$g$$
    Atomic mass of Iron $$(Fe)=55.8$$
    $$\therefore 169.9$$ $$g$$ of $$C_4H_2FeO_4\rightarrow 55.8$$ $$g$$ of $$Fe$$
    $$\therefore 100$$ $$mg$$ of $$C_4H_2FeO_4$$ contain:
    $$=\cfrac{55.8 g}{169.9 g}\times 100$$ $$mg$$
    $$=32.8$$ $$mg$$
    Amount of $$C_4H_2FeO_4$$ in $$400$$ $$mg$$ capsule $$=100$$ $$mg$$ 
    $$\therefore$$ Amount of iron in $$400$$ $$mg$$ capsule $$=32.8$$ $$mg$$
    Percentage of iron in $$400$$ $$mg$$ capusle $$=100\times \cfrac {Amount\quad of\quad Iron\quad in\quad capsule}{Total\quad mass\quad of\quad capsule}$$
    $$=100\times \cfrac{32.8 mg}{400 mg}$$
    $$=8.2\%$$
  • Question 10
    1 / -0
    The density of a $$3 \,M$$ sodium thiosulphate $$(Na_2S_2O_3)$$ solution is $$1.25 \,gm/ml$$. Calculate the percentage by weight of sodium thiosulphate.
    Solution
    Percentage by weight of sodium thiosulphate solution $$(Na_2S_2O_3)$$ will be:
    $$=\cfrac{wt.\ of\ Na_2S_2O_3}{wt.\ of\ solution}\times 100$$
    Also wt. of $$4Na_2SO_3=$$Molarity$$\times $$ molecular wt.$$=3\times 150$$
    $$\%$$ by wt.$$=\cfrac{3\times 158}{1.25\times 100}\times 100=37.92$$
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