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How many grams of concentrated nitric acid solution should be used to prepare 250 mL of 2.0 M HNO3? The concentrated acid is 70% HNO3.
(a) Given, molarity of solution=2
Volume of solution = 250mL=250/1000=1/4L
Molar mass of HNO3 = 1+14+3x16=63g mol-1
Molarity =
Weight of HNO3 = molarity x molecular massx volume(L) = 2x63x1/4g=31.5g
It is the weight of 100% HNO3
But the given acid is 70% HNO3
Its weight = 31.5x100/70g=45g
Mole fraction of the solute in a 1.00 molal aqueous solution is
(a) 1.00 molal aqueous solution = 1.0 mole in 1000g water
nsolute = 1; Wsolvent =1000g
nsolvent = 1000/18 = 55.56
Xsolute =
Xsolute = 1/1+55.56 = 0.0177
Alternate Method
Molality(m) = 1000xn/NxM
where, n = number of moles of solute
N = number of moles of solvent
M = molar mass of solvent
Given, m=1
... 1= 1000xn/Nx18 n/N =18/1000
or n/n+N = 18/1018 =0.0177
6.02x1020 molecules of urea are present in 100mL of its solution. The concentration of solution is
(b) Given, number of molecules of urea= 6.02x1020
Number of moles = 6.02x1020 /NA
=6.02x1020 /6.02x1023 =1x10-3 mol
Volume of the solution = 100mL = 100/1000L =0.1L
Concentration of urea solution (in mol L-1)
=1x10-3 /0.1 mol L-1
=1x10-2 mol L-1
=0.01 mol L-1
Which has maximum number of molecules?
(b) In 7g nitrogen, number of molecules = mol = 0.25 x NA molecules
where, NA = Avogadro number = 6.023 x 1023
In 2g of H2= 2/2 mol =1x NA molecules
In 16 g of NO2= 16/46 mol = 0.348 x NA molecules
In 16 g of O2 = 16/32 mol = 0.5 x NA molecules
Hence, maximum number of molecules are present in 2g of H2.
The number of moles of oxygen in 1L of air containing 21% oxygen by volume, under standard conditions, is
(a) Volume oxygen in 1L of air = 21/100x1000 = 210mL
22400 mL volume at STP is occupied by oxygen = 1mole
Therefore, number of moles occupied by 210mL = 210/22400 = 0.0093mol
What volume of oxygen gas (O2) measured at and 1 atm, is needed to burn completely 1L of propane gas (C3H8) measured under the same conditions?
(c) C3H8 + 5O2 3CO2+ 4H2O
22.4L 5x22.4L
For the combustion of 22.4L propane, oxygen required = 5 x 22.4L
For the combustion of 1L of propane oxygen required = 5x22.4/22.4L
=5L
Percentage of Se in peroxidase anhydrase enzyme is 0.5% by weight (at. weight = 78.4), then minimum molecular weight of peroxidase anhydrase enzyme is
(d) Suppose the molecular weight of enzyme = x
0.5% by weight means in 100g of enzyme weight of Se=0.5g
In xg of enzyme weight of Se =
Hence, 78.4 =
x = 15680 = 1.568x104
Number of moles of Mn required to oxidise one mole of ferrous oxalate completely in acidic medium will be
0.6
10FeC2O4 + 6KMnO4 + 24H2SO4 ----> 3K2SO4+ 6MnSO4 + 5Fe2(SO4)3 + 24H2O + 20CO2
So we see that 6 moles of KMnO4 is required to oxidize 10 moles of FeC2O4 Then, 1 mole of FeC2O4 would be oxidized by = ? 6/10 = 0.6