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Answers posted by meena.p
Questions
12710
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If the mole fraction of 4.5 moles of solute is 0.5, what is the number of moles of solvent?
answered
Aug 9, 2018
Solution : $ 0.5 = 4.5/(4.5 + n),$ => $n = 4.5.$
0
votes
What is the mole fraction of sodium with moles n in a solution with moles of solvent N?
answered
Aug 9, 2018
Solution : Mole fraction is the ratio of moles of solvent and total number of moles of solution, =&g...
0
votes
The vertex for the given graph is
answered
Aug 8, 2018
Solution : The x intercepts are $\alpha$ and $\beta$ the axis of symmetry is $x= \large\frac{\alpha ...
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votes
The product of two consecutive odd numbers is 255. Then the numbers are
answered
Aug 8, 2018
Solution : $x(x+2)=255$=> $x^2+2x=255$=> $x^2+2x-255=0$$x= \large\frac{-2 \pm \sqrt{4 + 1020}}...
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votes
The coordinate points of the intersection of the graph with equation: $y=-x^2+4x-7$ and $y=5x-4$ are
answered
Aug 8, 2018
Solution : $-x^2+4x-7=5x-4$$-x^2-x-3=0$=> $b^2-4ac=(1)^2-4(1)(3)$$\qquad= 1-12 <0$Hence no sol...
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$y=2x^2+4x+5$ is equivalent to the equation
answered
Aug 8, 2018
Solution : $y=2(x+1)^2+1$$y= 2(x+1)^2+3$
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votes
The y -intercept of the graph $y=2x^2+6x-3$
answered
Aug 8, 2018
Solution : When $x=0,y=2(0)+6(0)-3$ $y=-3$
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votes
The axis of symmetry for the equation $y=ax^2+bx+c$ is
answered
Aug 8, 2018
Solution : For a quadratic function in standard form, $y=ax^2+bx+c$ , the axis of symmetry is a vert...
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votes
The roots of a quadratic equation is $-2 \pm \sqrt{3}$. The equation they form is
answered
Aug 8, 2018
Solution : $x^2$-(sum of the roots)x +product of the roots=0Sum of the roots $=-2+\sqrt 3 -2-\sqrt 3...
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votes
The discriminant value for the equation $6x^2-5x-6=0$ is
answered
Aug 8, 2018
Solution : $b^2-4ac=(-5)^2-4 \times 6 \times -6$$\qquad=25+144 >0$
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votes
The solution set for $3x+\large\frac{2}{x}$$=-7$ is
answered
Aug 8, 2018
Solution : $3x^2+2=-7x$=> $3x^2+7x+2=0$=> $(3x+1)(x+2)=0$=> $x=\large\frac{-1}{3}$$,x=-2$
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votes
$f(g(x))$ is , where $f(x) =5-x-x^2$ and $g(x)=(x+2)$
answered
Aug 7, 2018
Solution : $5-(x+2)-(x+2)^2=f(g(x))$$\qquad= 5-x-2-x^2-2x-4$$\qquad= -x^2-3x-1$
0
votes
Number of particles in one unit cell of HCP lattice is:
answered
Aug 7, 2018
Solution : Consider the top and bottom layers. One-sixth of each of the 12(=6×2) atoms located at th
0
votes
Coordination number of HCP and FCC lattices respectively are
answered
Aug 7, 2018
Solution : Coordination number is the number of atoms that are in direct contact of any particular a...
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votes
The edge length of $NaCl$ unit cell is $500\; pm$. What is the density of $NaCl$ in $g/cm^3 ?$ [NA = 6.02 x 1023, Na = 23.0, Cl = 35.5 a.m.u.]
answered
Aug 7, 2018
Solution : $ d = \large\frac{(4 \times 58.5)}{[6.02 \times 10^{23} \times (500 \times 10^{-10})^3 ]}...
0
votes
Copper crystallises in face-centred cubic lattice and has a density of $8.930\; g\; mol^{-3}$ at 293 K. Calculate the edge length of unit cell. [At. mass of Cu = 63.5 a.m.u, Avogadro's constant NA = 6.02 x 1023].
answered
Aug 7, 2018
Solution : Density = Mass of unit cell/Volume of unit cell$ 8.93 = (4 \times 63.5)/(a_3 \times 6.02...
0
votes
Crystallisation is based on the
answered
Aug 7, 2018
Solution : Crystallisation is based on the difference in the solubility of the compound and the impu...
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votes
Which of the following is not a common method used for purification?
answered
Aug 7, 2018
Solution : Sublimation, crystallisation, distillation, differential extraction and chromatography a...
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votes
Calculate the molarity of a solution created by pouring $7.62\; grams$ of $MgCl_2$ into enough water to create 400 mL of solution.
answered
Aug 7, 2018
Solution : The formula to calculate molarity isIn this case, the solute is $7.62$ grams of $MgCl_2$....
0
votes
Calculate the molarity of a solution containing 100 gr of $NaCl\; (Mw = 58.5)$ in 1.5 liters of water.
answered
Aug 7, 2018
Solution : $N^{\circ}$ moles =$\large\frac{ grams}{mw} = \frac{100}{58.5}$$ = 1.70$$1.70:1500=m:1000...
0
votes
Calculate the ml of a 1 M solution of NaCl needed to prepare 100 ml of a 0.2 M solution.
answered
Aug 7, 2018
Solution : By rembering that $M_iV_i = M_fV_f$ we have that$(x)\; (1) = (100)(0.2)$$x = 20 ml$
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votes
A solution of $NaOH (mw = 40)$ is prepared by dissolving 20 grams of the base in enough water to make one liter of solution. Calculate the molarity of this solution.
answered
Aug 7, 2018
Solution : the moles present in 20 gr of NaOH are:moles = gr/mw = 20/40 = 0.5 molesSince molarity is...
0
votes
What are the disadvantages of using high alkaline water?
answered
Aug 7, 2018
Solution : High alkaline water leads to caustic embrittlement and deposition of precipitates and slu...
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votes
With respect to the constituents causing alkalinity in water, which of the following situation never arises?
answered
Aug 7, 2018
Solution : $HCO_3^–$ and $OH^{–}$ together combines to form $CO_3^{2-}$ ions. Therefore, this situat
0
votes
The normal boiling point of a liquid is the temperature at which it boils when the external pressure is
answered
Aug 7, 2018
Solution : The normal boiling point of a liquid is the temperature at which it boils when the extern...
0
votes
The boiling point and molar heat of vaporisation is dependent on
answered
Aug 7, 2018
Solution : The boiling point and molar heat of vaporisation is dependent on the strength of the inte...
0
votes
The process of distillation is used for the liquids having
answered
Aug 7, 2018
Solution : The process of distillation is used for the liquids having sufficient difference in their...
0
votes
Porcelain pieces are put into the distillation flask to avoid
answered
Aug 6, 2018
Solution : Porcelain pieces are put into the distillation flask to avoid bumping of the solution due...
0
votes
State true or false. Alkalinity is a measure of the ability of water to neutralize the acids.
answered
Aug 6, 2018
Solution : Alkalinity is a measure of the ability of water to neutralize the acids. Measuring alkali...
0
votes
In case of water and glass, we get a concave meniscus because the adhesive force between water and glass are _______________ than the cohesive forces between water molecules.
answered
Aug 6, 2018
Solution : In case of water and glass, we get a concave meniscus because the adhesive force between ...
0
votes
The molar heat of fusion (kJ/mol) of water is
answered
Aug 6, 2018
Solution : The molar heat of fusion of water is 6.01 kJ/mol. The molar heat of fusion refers to the ...
0
votes
The melting point of mercury is
answered
Aug 6, 2018
Solution : The melting point and freezing point of mercury is 234.32 kelvins $(−38.83 ^{\circ}C\; or
0
votes
What happens when nitrobenzene is treated with KOH?
answered
Aug 6, 2018
Solution : https://clay6.com/mpaimg/ca.jpg
0
votes
If the revolution per second by the electron in third orbit of hydrogen is
answered
Aug 6, 2018
Solution : Number of revolution per second $=\large\frac{V_n}{2 \pi t_n}$Where $r_n=0.53\times \larg...
0
votes
If $f(x)=x^3$ then $2f(x+3)+1$ is
answered
Aug 6, 2018
Solution : $2(x+3)^3+1$$\qquad=2[x^3+9x^2+27x+27]+1$$\qquad= 2(x^3+9x^2+27x+27)+1$$\qquad= 2x^3+18x^...
0
votes
If $f(x) =2x-3$ and $g(x)=x^2-3x+2$ then $g(f(x))$ is
answered
Aug 6, 2018
Solution : $g(f(x))=(2x-3)^2-3(2x-3)+2$$\qquad= 4x^2-12x+9+2$$\qquad= 4x^2-18x+20$
0
votes
The product of the roots of the equation is $x^2+11x-13=0$
answered
Aug 6, 2018
Solution : $x^2+11x-13=0$=> $x= \large\frac{-11 \pm \sqrt{11^2-4x-13}}{2}$$\qquad= \large\frac{-1...
0
votes
The graph of the equation $y= \large\frac{1}{2}$$(x+2)^2$ is
answered
Aug 6, 2018
Solution : $y= \large\frac{1}{2}(x+2)^2$touches the x axis at -2when $x=0$ $y= \large\frac{1}{2}$$(2...
0
votes
A group of elderly citizens chartered a bus for $\$160$. However at the last minute, $8$ of them fell ill and had to miss the trip. As a result, the others had to pay an extra $\$1$ each. How many people went on the trip ?
answered
Aug 6, 2018
Solution : Let the number of person be x let the cost per person be yHence $xy=160=> y= \large\fr...
0
votes
The coordinate of the point of intersection of the graphs with equation $y=x^2-x-18$ and $y=x-3$ are
answered
Aug 6, 2018
Solution : $x^2-x-18=x-3$=> $x^2-2x-15=0$=> $(x-5)(x+3)=0$=> $x=5\;or\;x=-3$
0
votes
The equation of the quadratic for the given graph is :
answered
Aug 6, 2018
Solution : Axis is symmetry is $x=+1$The other x intercept is 3$y= a(x+2)(x-3)$When $x=0,y=16$ $16=a...
0
votes
The equation which is equivalent to $2x^2-2x-24$ is
answered
Aug 6, 2018
Solution : $2(x^2-x-12)=0$=> $2(x^2-4x+3x+12)=0$=> $2[(x(x-4)+3(x-4)]=0$=> $2(x-4)(x+3)=0$
0
votes
If V is the vertex find the equation of the quadratic given its graph is
answered
Aug 6, 2018
Solution : given vertex is $(2,4)$ We can see that the curve passes through the origin (0,0)$\theref...
0
votes
Is it possible to bend a $15\; cm$ length of wire to form the vertices of a right angled triangle with area $30 \;cm^2$?
answered
Aug 3, 2018
Solution : $\large\frac{1}{2}$$x(15-x)=30$=> $x(15-x)=60$=> $15x-x^2=60$=> $x^2-15x+60=0$$x...
0
votes
Select the incorrect statement from the following option.
answered
Aug 3, 2018
Solution : Two different pure substances have different melting points. All the other options are co...
0
votes
The purity of compound is confirmed by
answered
Aug 3, 2018
Solution : The purity of compound is confirmed by its melting point and boiling point, chromatograph...
0
votes
Which of the following is an application of surface tension?
answered
Aug 3, 2018
Solution : Use of soaps and detergents as cleansing agents, molecular structure can be elucidated by...
0
votes
On increasing the temperature, the surface tension of the liquid
answered
Aug 3, 2018
Solution : On increasing the temperature, the surface tension of the liquid decreases. It is inverse...
0
votes
Select the incorrect statement from the following option.
answered
Aug 3, 2018
Solution : If two drops encounter each other, they tend to coalesce into a large drop. All the other...
0
votes
Shapes of drops of liquid are spherical because of
answered
Aug 3, 2018
Solution : Shapes of drops of liquid are spherical because of surface tension as it reduces the surf...
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