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Question 12 Marks
Calculate the number of atoms of the following:
52 moles of Ar
Answer
1 mole of $\mathrm{Ar}=6.022 \times 10^{23}$ atoms of Ar
$\therefore 52 \mathrm{~mol}$ of $\mathrm{Ar}=52 \times 6.022 \times 10^{23}$ atoms of Ar
$=3.131 \times 10^{25}$ atoms of Ar
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Question 22 Marks
How many significant figures should be present in the answer of the following calculations?
$\frac{0.02856×298.15×0.112}{0 5785}$
Answer
$\frac{0.02856×298.15×0.112}{0 5785}$
Least precise number of calculation = 0.112
$\therefore$ Number of significant figures in the answer
= Number of significant figures in the least precise number
= 3
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Question 32 Marks
In a reaction
$\mathrm{A}+\mathrm{B}_2 \rightarrow \mathrm{AB}_2$
Identify the limiting reagent, if any, in the following reaction mixtures. 300 atoms of $A+200$ molecules of $B$.
Answer
A limiting reagent determines the extent of a reaction.
It is the reactant which is the first to get consumed during a reaction, thereby causing the reaction to stop and limiting the amount of products formed.
According to the given reaction, 1 atom of A reacts with 1 molecule of B.
Thus, 200 molecules of B will react with 200 atoms of A, thereby leaving 100 atoms of A unused.
Hence, B is the limiting reagent.
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Question 42 Marks
In a reaction,
$\mathrm{A}+\mathrm{B}_2 \rightarrow \mathrm{AB}_2$
Identify the limiting reagent, if any, in the following reaction mixtures.
2.5mol A + 5mol B.
Answer
A limiting reagent determines the extent of a reaction.
It is the reactant which is the first to get consumed during a reaction, thereby causing the reaction to stop and limiting the amount of products formed.
According to the reaction, 1mol of atom A combines with 1mol of molecule B.
Thus, 2.5mol of A will combine with only 2.5mol of B and the remaining 2.5mol of B will be left as such.
Hence, A is the limiting reagent.
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Question 52 Marks
In three moles of ethane ($\mathrm{C}_2 \mathrm{H}_6$), calculate the following:
Number of moles of carbon atoms.
Answer
1 mole $\mathrm{C}_2 \mathrm{H}_6$ contains two moles of C - atoms.
$\therefore$ No. of moles of C-atoms in 3 moles of $\mathrm{C}_2 \mathrm{H}_6$.
$=2 \times 3$
$=6$
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Question 62 Marks
How many significant figures should be present in the answer of the following calculations?
5 × 5.364
Answer
5 × 5.364
Least precise number of calculation = 5.364
$\therefore$ Number of significant figures in the answer = Number of significant figures in 5.364
= 4
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Question 72 Marks
In a reaction
$\mathrm{A}+\mathrm{B}_2 \rightarrow \mathrm{AB}_2$
Identify the limiting reagent, if any, in the following reaction mixtures.
$5 \mathrm{mol}\mathrm{~A}+2.5 \mathrm{~mol} \mathrm{~B}$.
Answer
A limiting reagent determines the extent of a reaction.
It is the reactant which is the first to get consumed during a reaction, thereby causing the reaction to stop and limiting the amount of products formed.
1mol of atom A combines with 1mol of molecule B.
Thus, 2.5mol of B will combine with only 2.5mol of A.
As a result, 2.5mol of A will be left as such.
Hence, B is the limiting reagent.
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Question 82 Marks
A sample of drinking water was found to be severely contaminated with chloroform, $\mathrm{CHCl}_3$, supposed to be carcinogenic in nature. The level of contamination was 15ppm (by mass).
Express this in percent by mass.
Answer
1 ppm is equivalent to 1 part out of 1 million $\left(10^6\right)$ parts.
$\therefore$ Mass percent of 15 ppm chloroform in water
$=\frac{15}{10^6} \times 100$
$=1.5 \times 10^{-3} \%$
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Question 92 Marks
If 10 volumes of dihydrogen gas reacts with five volumes of dioxygen gas, how many volumes of water vapour would be produced?
Answer
$\mathrm{H}_2$ and $\mathrm{O}_2$ react according to the equation.
$2 \mathrm{H}_2(\mathrm{g})+0_2(\mathrm{g}) \rightarrow 2 \mathrm{H}_2 \mathrm{O}(\mathrm{g})$
Thus, 2 volumes of $\mathrm{H}_2$ react with 1 volume of $\mathrm{O}_2$ to produce 2 volumes of water vapour. Hence, 10 volumes of $\mathrm{H}_2$ will react completely with 5 volumes of $\mathrm{O}_2$ to produce 10 volumes of water vapour.
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Question 102 Marks
Calculate the molecular mass of the following:
$\mathrm{CO}_2$
Answer
$\mathrm{CO}_2$
The molecular mass of carbon dioxide, $\mathrm{CO}_2$
$=(1 \times \text { Atomic mass of carbon })+(2 \times \text { Atomic mass of oxygen })$
$=[1(12.011 \mathrm{u})+2(16.00 \mathrm{u})]$
$=12.011 \mathrm{u}+32.00 \mathrm{u}$
$=44.01 \mathrm{u} .$
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Question 112 Marks
Use the data given in the following table to calculate the molar mass of naturally occuring argon isotopes:
Isotope
Isotopic molar mass
Abundance
${ }^{36} \mathrm{Ar}$ $35.96755 \mathrm{g} \mathrm{~mol}^{-1}$
0.337%
${ }^{38} \mathrm{Ar}$ $37.96272 \mathrm{g} \mathrm{~mol}^{-1}$
0.063%
${ }^{40} \mathrm{Ar}$ $39.9624 \mathrm{g} \mathrm{~mol}^{-1}$
99.600%
Answer
Molar mass of argon,
$=\Big[\Big(35.96755\times\frac{0.337}{100}\Big)+\Big(37.96272\times\frac{0.063}{100}\Big)\\+\Big(39.9624\times\frac{90.60}{100}\Big)\Big]\text{g mol}^{-1}$
$=[0.121+0.024+39.802]\text{g mol}^{-1}$
$=39.947\text{g mol}^{-1}$
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Question 122 Marks
In a reaction
$\mathrm{A}+\mathrm{B}_2 \rightarrow \mathrm{AB}_2$
Identify the limiting reagent, if any, in the following reaction mixtures. $2 \mathrm{~mol} \mathrm{~A}+3 \mathrm{~mol} \mathrm{~B}$.
Answer
A limiting reagent determines the extent of a reaction.
It is the reactant which is the first to get consumed during a reaction, thereby causing the reaction to stop and limiting the amount of products formed.
According to the reaction, 1mol of A reacts with 1mol of B.
Thus, 2mol of A will react with only 2mol of B.
As a result, 1mol of B will not be consumed.
Hence, A is the limiting reagent.
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Question 132 Marks
A sample of drinking water was found to be severely contaminated with chloroform, $\mathrm{CHCl}_3$, supposed to be carcinogenic in nature. The level of contamination was 15 ppm (by mass).
Determine the molality of chloroform in the water sample.
Answer
100 g of the sample contains $1.5 \times 10^{-3} \mathrm{~g}$ of $\mathrm{CHCl}_3$.
$\Rightarrow 1000 \mathrm{~g}$ of the sample contains $1.5 \times 10^{-2} \mathrm{~g}$ of $\mathrm{CHCl}_3$.
$\therefore$ Molality of chloroform in water
$=\frac{1.5 \times 10^{-1} \mathrm{~g}}{\text { Molar mass of } \mathrm{CHCl}_3}$
$=1.5 \times 10^{-3} \%$
Molar mass of $\mathrm{CHCl}_3=12.00+1.00+3(35.5)$
$=119.5 \mathrm{~g} \mathrm{~mol}^{-1}$
$\therefore$ Molality of chloroform in water $=0.0125 \times 10^{-2} \mathrm{~m}$
$=1.25 \times 10^{-4} \mathrm{~m}$
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Question 142 Marks
Calculate the molecular mass of the following:
$\mathrm{H}_2 \mathrm{O}$
Answer
$\mathrm{H}_2 \mathrm{O} \text { : }$
The molecular mass of water, $\mathrm{H}_2 \mathrm{O}$
$=(2 \times \text { Atomic mass of hydrogen })+(1 \times \text { Atomic mass of oxygen })$
$=[2(1.0084)+1(16.00 \mathrm{u})]$
$=2.016 \mathrm{u}+16.00 \mathrm{u}$
$=18.016$
$=18.02 \mathrm{u} .$
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Question 152 Marks
What do you mean by significant figures?
Answer
Significant figures are meaningful digits which are known with certainty including the last digit whose value is uncertain.
For example,
In 11.2546g, there is 6 significant figures but here 11.254 are certain and 6 is uncertain and the uncertainty would be ±1 in the last digit.
Hence last uncertain digit is also included in Significant figures.
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Question 162 Marks
How many significant figures should be present in the answer of the following calculations?
0.0125 + 0.7864 + 0.0215
Answer
0.0125 + 0.7864 + 0.0215
Since the least number of decimal places in each term is four, the number of significant figures in the answer is also 4.
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Question 172 Marks
In three moles of ethane ($\mathrm{C}_2 \mathrm{H}_6$), calculate the following:
Number of molecules of ethane.
Answer
1 mole $\mathrm{C}_2 \mathrm{H}_6$ contains six moles of H - atoms.
$\therefore$ No. of molecules in 3 moles of $\mathrm{C}_2 \mathrm{H}_6$.
$=3 \times 6.023 \times 1023$
$=18.069 \times 1023$
$=18484.59$
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Question 182 Marks
In three moles of ethane ($\mathrm{C}_2 \mathrm{H}_6$), calculate the following:
Number of moles of hydrogen atoms.
Answer
1 mole $\mathrm{C}_2 \mathrm{H}_6$ contains six moles of H - atoms.
$\therefore$ No. of moles of C- atoms in 3 moles of $\mathrm{C}_2 \mathrm{H}_6$.
$=3 \times 6$
$=18$
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Question 192 Marks
Calculate the molecular mass of the following:
$\mathrm{CH}_4$
Answer
$\mathrm{CH}_4$ :
The molecular mass of methane, $\mathrm{CH}_4$
$=(1 \times \text { Atomic mass of carbon })+(4 \times \text { Atomic mass of hydrogen })$
$=[1(12.011 \mathrm{u})+4(1.008 \mathrm{u})]$
$=12.011 \mathrm{u}+4.032 \mathrm{u}$
$=16.043 \mathrm{u}$.
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Question 202 Marks
Calculate the number of atoms in the following:
52u of He.
Answer
1 atom of He = 4u of He
Or,
4u of He = 1 atom of He
1u of He $=\frac{1}{4}$ atom of He
52u of He $=\frac{52}{4}$ atom of He
= 13 atoms of He.
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Question 212 Marks
In a reaction
$\mathrm{A}+\mathrm{B}_2 \rightarrow \mathrm{AB}_2$
Identify the limiting reagent, if any, in the following reaction mixtures.
100 atoms of A + 100 molecules of B.
Answer
A limiting reagent determines the extent of a reaction.
It is the reactant which is the first to get consumed during a reaction, thereby causing the reaction to stop and limiting the amount of products formed.
According to the given reaction, 1 atom of A combines with 1 molecule of B.
Thus, all 100 atoms of A will combine with all 100 molecules of B.
Hence, the mixture is stoichiometric where no limiting reagent is present.
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Question 222 Marks
What will be the mass of one ${ }^{12} \mathrm{C}$ atom in g?
Answer
1 mol of ${ }^{12} \mathrm{C}$ atom $=6.022 \times 10^{23}$ atom $=12 \mathrm{~g}$
Thus, $6.022 \times 10^{23}$ atoms of 12 C have mass $=12 \mathrm{~g}$
$\therefore 1$ atom of ${ }^{12} \mathrm{C}$ will have mass $=\frac{12}{6.022 \times 10^{23}}$
$\mathrm{g}=1.9927 \times 10^{-23} \mathrm{~g}$
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Question 232 Marks
Calculate the number of atoms in the following:
52g of He.
Answer
4 g of $\mathrm{He}=6.022 \times 10^{23}$ atoms of He
$\therefore 52 \mathrm{~g}$ of $\mathrm{He}=\frac{6.022 \times 10^{23} \times 52}{4}$ atoms of He
$=7.8286 \times 10^{24}$ atoms of He.
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Question 242 Marks
If 500mL of a 5M solution is diluted to 1500ml, what will be the molarity of the solution obtained?
Answer
$\text{M}_1\text{V}_1=\text{M}_2\text{V}_2$
$500\times5=1500\times\text{M}_2$
$\text{M}_2=\frac{2500}{1500}$
$=\frac{5}{3}=1.66\text{M}.$
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Question 252 Marks
How many atoms of calcium are there in 2g of Ca?
(At. mass of Ca = 40u)
Answer
1 mole of $\mathrm{Ca}=40 \mathrm{~g}=6.022 \times 10^{23}$ atoms
$2\text{g of ca}=\frac{6.022\times10^{23}}{40}\times2$
$=3.011\times10^{22}$
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Question 262 Marks
Volume of a solution changes with change in temperature, then, will the molality of the solution be affected by temperature? Give reason for your answer.
Answer
No, molality of a solution does not change with temperature since mass remains unaffected by temperature.
Molelity, $\text{m}=\frac{\text{moles of solute}}{\text{weight of solvent(in g)}}\times100$
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Question 272 Marks
How many molecules are pre ent in one mole of oxygen gas at STP? Calculate its mass.
Answer
1 mole of $\mathrm{O}_2$ gas contains $6.022 \times 10^{23}$ molecules.
1 mole of $\mathrm{O}_2$ gas at $\mathrm{STP}=32 \mathrm{~g}$.
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Question 282 Marks
1L of a gas at STP weighs 1.97g. What is molecular mass?
Answer
1 L of gas at STP weighs $=1.97 \mathrm{~g}$
22.4 L of gas at STP weighs $=1.97 \times 22.4=44.128 \mathrm{~g} \mathrm{~mol}^{-1}$
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Question 292 Marks
What do you understand by stoichiometric coefficients in a chemical equation?
Answer
The coefficients of reactants and products involved in a chemical equation represented by the balanced form, are known as stoichiometric coefficients.
e.g. $\mathrm{N}_2(\mathrm{g})+3 \mathrm{H}_2(\mathrm{g}) \rightarrow 2 \mathrm{NH}_3(\mathrm{g})$
The stoichiometric coefficients are 1, 3 and 2 respectively.
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Question 302 Marks
What will be the molarity of a solution. Which contains 5.58g of NaCl(s) per 500mL?
Answer
$\text{M}=\frac{\text{W}_{\text{B}}}{\text{M}_{\text{B}}}\times\frac{100}{\text{Volume of solution in mL}}$
$=\frac{5.85}{58.5}\times\frac{1000}{500}=0.2\text{mol L}^{-1}$
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Question 312 Marks
How much copper can be obtained from 100 g of copper sulphate $\left(\mathrm{CuSO}_4\right)$ ?
Answer
$\text { Molar mass of } \mathrm{CuSO}_4=63.54+32.06+(4 \times 16)=159.6 \mathrm{~g} \mathrm{~mol}^{-1}$
$159.6 \mathrm{g} \mathrm{~CuSO}_4 \text { contains }=63.54 \mathrm{~g} \mathrm{Cu}$
$1 \mathrm{g} \mathrm{~CuSO}_4 \text { contains }=\frac{63.54}{159.6} \mathrm{~g} \mathrm{Cu}$
$\therefore 100 \mathrm{g} \mathrm{~CuSO}_4 \text { contains }=\frac{63.54 \times 100}{159.6}$
$=39.81 \mathrm{g} \mathrm{~Cu}$
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Question 322 Marks
Calculate the number of grams of oxygen in 0.10 mol of $\mathrm{Na}_2 \mathrm{CO}_3 \cdot 10 \mathrm{H}_2 \mathrm{O}$.
Answer
1 mole of $\mathrm{Na}_2 \mathrm{CO}_3 \cdot 10 \mathrm{H}_2 \mathrm{O}$. Contains 13 moles of oxygen atoms.
0.1 mole of $\mathrm{Na}_2 \mathrm{CO}_3 .10 \mathrm{H}_2 \mathrm{O}$ contains $13 \times 0.1=1.3$ moles of oxygen atoms.
Mass of 1.3 moles of oxygen atoms $=1.3 \times 16=20.8 \mathrm{~g}$.
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Question 332 Marks
A measured temperature on Fahrenheit scale is 200° F. What will this reading be on Celsius scale?
Answer
$\frac{\text{C}}{5}=\frac{\text{F}-32}{9}$
$\Rightarrow\frac{\text{C}}{5}=\frac{200-32}{9}$
$\Rightarrow\text{C}=\frac{5\times168}{9}$
$=\frac{840}{9}=93.3^\circ\text{C}.$
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Question 342 Marks
Vitamin C is known to contain $1.29 \times 10^{24}$ hydrogen atoms. Calculate the number of moles of hydrogen atoms.
Answer
Number of moles of hydrogen $=\frac{\text{Number of atoms}}{6.022\times10^{23}}$
$=\frac{1.29\times10^{24}}{6.022\times10^{23}}$
$=\frac{12.9\times10^{23}}{6.022\times10^{23}}=2.14\text{mol}$
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Question 352 Marks
Write the relationship between empirical formula and molecular formula.
Answer
Molecular formula = n × Empirical formula where
$\text{n}=\frac{\text{Molar mass}}{\text{Empirical formula mass}}$
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Question 362 Marks
Calculate the volume of water that should be added to $25 \mathrm{~cm}^3$ of $10 \mathrm{M} \mathrm{H}_2 \mathrm{SO}_4$ to obtain $0.5 \mathrm{M} \mathrm{H} 2 \mathrm{SO}_4$ solution.
Answer
$\text{M}_1\text{V}_1=\text{M}_2\text{V}_2$
$\Rightarrow10\times25=0.5\times\text{V}_2$
$\text{V}_2=\frac{250}{0.5}=500\text{mL}$
Volume of water
$=$ Volume of solution - Volume of solute
$=500-25=475 \mathrm{~cm}^3$
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Question 372 Marks
What is the mass percent of carbon in carbon dioxide?
Answer
Mass % of carbon in $\text{CO}_2$
$=\frac{\text{Mass of carbon}}{\text{Mass of CO}_2}\times100$
$=\frac{12}{44}\times100=\frac{300}{11}=27.27\%$
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Question 382 Marks
How many moles arc there in 0.08L of hydrogen at STP?
Answer
Number of moles $=\frac{\text{Volume at STP}}{22.4\text{L}}=\frac{0.08}{22.4}$
$=0.035\text{ moles.}$
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Question 392 Marks
How many atoms are present in 16g of ozone?
Answer
Number of moles of $\text{O}_3=\frac{\text{Mass of O}_3}{\text{Molar mass of O}_3}$
$=\frac{16}{48}=\frac{1}{3}\text{mole}$
Number of atoms in 1 mole of $\mathrm{O}_3=3 \times 6.022 \times 10^{23}$ atoms
Number of atoms in $\frac{1}{3}$ mole of $\mathrm{O}_3$
$=3\times6.022\times10^{23}\times\frac{1}{3}$
$=6.002\times10^{23}\text{ atoms}.$
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Question 402 Marks
Define limiting reagent.
OR
What is limiting reactant in a reaction?
Answer
The reactant which is entirely consumed when a reaction goes to completion. It is present in smaller amount than calculated by balanced chemical equation.
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Question 412 Marks
Calculate the percentage of nitrogen in $\mathrm{NH}_3$. (Atomic mass of $\mathrm{N}=14, \mathrm{H}=1 \mathrm{amu}$ )
Answer
% of nitrogen in $\mathrm{NH}_3$
$=\frac{\text{Totaol mass of nitrogen}}{\text{Molar mass of NH}_3}\times100$
$=\frac{14}{17}\times100=\frac{1400}{17}=82.3\%$
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Question 422 Marks
Why is the law of Gay Lussac's not obeyed if any reactant or product is not a gas?
Answer
If any reactant or product is a liquid or solid, the volume occupied by them is extremely small as compared to the gas and hence, the law is not obeyed.
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Question 432 Marks
How many gram of $\mathrm{Na}_2 \mathrm{CO}_3$ should be dissolved to make $100 \mathrm{~cm}^3$ of $0.15 \mathrm{M} \mathrm{~Na}_2 \mathrm{CO}_3$ solution?
Answer
$1000 \mathrm{~cm}^3$ of $0.15 \mathrm{M} \mathrm{~Na}_2 \mathrm{CO}_3$ contains $\mathrm{Na}_2 \mathrm{CO}_3=0.15 \mathrm{~mol}$
$100 \mathrm{~cm}^3$ of $0.15 \mathrm{M} \mathrm{~Na}_2 \mathrm{CO}_3$ will contain $\mathrm{Na}_2 \mathrm{CO}_3$
$=\frac{0.15}{1000} \times 100=0.015 \mathrm{~mol}$
(Molar mass of $\mathrm{Na}_2 \mathrm{CO}_3=106 \mathrm{~g} \mathrm{~mol}^{-1}$ )
Mass of $\mathrm{Na}_2 \mathrm{CO}_3=0.015 \times 106=1.59 \mathrm{~g}$
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Question 442 Marks
What does the following prefixes stand for:
  1. Pico.
  2. Nano.
  3. Micro.
  4. Deci.
Answer
$a. 10^{-12}$
$b. 10^{-9}$
$c. 10^{-6}$
$d. 10^{-1}$
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Question 452 Marks
If the density of a solution is $3.12 \mathrm{~g} \mathrm{~mL}^{-1}$, what is the mass of 1.5 mL solution in significant figures.
Answer
$\text { Mass of solution }=\text { Volume of solution } \times \text { density }$
$=1.5 \mathrm{~mL} \times 3.12 \mathrm{~g} \mathrm{~mL}^{-1}$
$=4.680 \mathrm{~g}=4.7 \mathrm{~g}$.
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Question 462 Marks
Calculate the percentage by mass of water in sodium carbonate crystals. $\left(\mathrm{Na}_2 \mathrm{CO}_3 \cdot 10 \mathrm{H}_2 \mathrm{O}\right)$.
Answer
$\%\text{ of H}_2\text{O}\text{ in Na}_2\text{CO}_310\text{H}_2\text{O}$
$=\frac{\text{Total mass of }\text{H}_2\text{O}}{\text{Molar mass}}\times100$
$\%\text{ of CaCO}_3=\frac{180}{286}\times100=62.9\%$
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Question 472 Marks
Calculate the number of moles of NaOH in $27 \mathrm{~cm}^3$ of 0.15M NaOH solution.
Answer
$\text{M}=\text{n}\times\frac{1000}{\text{Volume of solution in cm}^3}$
$\Rightarrow0.15=\text{n}\times\frac{1000}{27\text{cm}^3}$
$\Rightarrow\text{n}=0.00405\text{ moles}.$
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Question 482 Marks
Calculate the average atomic mass of hydrogen using the following data:
Isotope
% Natural abundance
Molar mass
${ }^1 \mathrm{H}$
99.985
1
${ }^2 \mathrm{H}$
0.015
2
Answer
Average atomic mass
$=\frac{\text{Abundance of }^1\text{H}\times\text{Atimic mass + Abudance of }^2\text{H}\times\text{Atomic mass}}{100}$
$=\frac{99.985\times1+0.015\times2}{100}=\frac{100.015}{100}=1.00015\text{u}$
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Question 492 Marks
How is the term material different from matter?
Answer
Anything which has mass and occupies space is called matter. However, material corresponds to the matter which has specific uses e.g. glass, cement etc.
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Question 502 Marks
What is the difference between molality and molarity?
Answer
Molarity is concentration of a substance that is calculated as the number of moles of solute that is dissolved in 1 liter of solution while molality is concentration of a substance that is calculated as the number of moles of solute found in 1kg of solvent.
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