Mole fraction of the solute in a 1.00 molal aqueous solution is
(a) 1.00 molal aqueous solution = 1.0 mole in 1000 g water nsolute = 1; Wsolute = 1000 g.
nsolvent = 1000/18 =55.56
Xsolute = 1/(1+55.56) = 0.0177
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Mole fraction of the solute in a 1.00 molal aqueous solution is
(a) 1.00 molal aqueous solution = 1.0 mole in 1000 g water nsolute = 1; Wsolute = 1000 g.
nsolvent = 1000/18 =55.56
Xsolute = 1/(1+55.56) = 0.0177
25.3 g of Sodium carbonate Na2CO3 is dissolved in enough water to make 250 mL of solution. If sodium carbonate dissociates completely, molar concentration of sodium ion, Na+ and carbonate ion are respectively (Molar mass of Na2CO3 = 106 g mol-1)
Molarity = number of moles of solute/volume of solution(in mL) x 1000
= (25.3x1000)/(106x250) = 0.9547 0.955 M
Na2CO3 in aqueous solution remains dissociated as
Na2CO32Na+ +
x 2x x
Since, the molarity of Na2CO3 is 0.955 M, the molarity of is also 0.955 M and that of Na+ is
2 x 0.955 = 1.910 M
The number of atoms in 0.1 mole of a triatomic gas is (NA=6.02 x1023mol-1)
(b) Number of atoms = number of moles X NA X atomicity
= 0.1 X 6.02 X 1023 X 3
= 1.806 X 1023 atoms
What is the [OH-] in the final solution prepared by mixing 20.0 mL of 0.050 M HCl with 30.0 mL of 0.10 M Ba(OH)2?
(a) Number of milliequivalents of HCl = 20 X 0.050 X 1 = 1
Number of milliequivalents of Ba(OH)2 = 2 X 30 X 0.10 = 6
[OH-] of final solution
10 g of hydroen and 64g of oxygen were filled in a steel vessel and exploded. Amount of water produced in this reaction will be
(c) Key Idea (i)
(ii) Amount of water produced is decided by limited reactant (i.e., the reactant which is used in small amount)
Volume occupied by one molecule of water (density = 1g cm-3) is
6.023 x 1023 molecules of water = 1mol =18g
... Mass of one molecule of water = 18/6.023 x1023 g
... d=m/V
... V=m/d =18/(6.023x1023x1) 3x10-23 cm3
How many moles of lead (II) chloride will be formed from a reaction between 6.5g of PbO and 3.2g of HCl?
Key Idea: The reagent which is present in smaller quantity is called the limiting reagent and the moles of product depends on it and number of moles = weight/molecular weight
PbO + 2HCl PbCl2 + H2O
207.2 +16 2(35.5+1) 207.2+71
=223.2 =73 =278.2
Mole of PbO = 6.5/223 = 0.029
Mole of HCl = 3.2/36.5 = 0.087
Here, 1 mole of PbO reacts with 2 moles of HCl, thus PbO is the limiting reagent.
... 223.2 g PbO gives PbCl2 = 278.2g
... 6.5g PbO will give PbCl2
=(278.2/223.2) x 6.5g
=(278.2 x 6.5)/(223.2 x278.2) mol
= 0.029 mol
Concentrated aqueous sulphuric acid is 98% by mass and has a density of 1.80 g mL-1. Volume of acid required to make one litre of 0.1 M H2S04 solution is :
A mixture of methane and ethene in the molar ratio of x : y has a mean molar mass of 20. What would be the mean molar mass. if the gases are mixed in the molar ratio of y : x?
(B). Case I : Mean molar mass =
Case II : Mean molar mass
Calculate number of electrons present in 9.5 g of :
2.
Number of molecules = mole × avogadro number
= 0.1 × 6.022 × 1023
= 6.022 × 1022
1 molecule of PO43− contains 15 + 4 × 8 + 3 = 50 electron
So,
6.022 × 1022 contains
= 50 × 6.022 × 1022
= 301.1 × 1022 electrons
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