d) 0.04 M
d) 0.04 M
d) a and b
d) a and b
b) 7 mL
b) 7 mL
d) 1 × 10 -5
d) 1 × 10 -5
d) 2.5 × 10 -4
d) 2.5 × 10 -4
d) ∆G mix = 0
d) ∆G mix = 0
c) CO 2
c) CO 2
c) P 1 – x 2 (P 1 – P 2 )
c) P 1 – x 2 (P 1 – P 2 )
b) πV = nRT
b) πV = nRT
d) ethanol + water
d) ethanol + water
d) \(\frac{5 x}{y}\)
d) \(\frac{5 x}{y}\)
c) 101°C
c) 101°C
b) mole fraction of solute
b) mole fraction of solute
d) 0.1 M Ba(NO 3 ) 2 and 0.1 M Na 2 SO 4
Formula of normality · In the case of acid-base chemistry, normality is used to express the concentration of hydronium ions (H3O+).
d) 0.1 M Ba(NO 3 ) 2 and 0.1 M Na 2 SO 4
Formula of normality · In the case of acid-base chemistry, normality is used to express the concentration of hydronium ions (H3O+).
b) C 8 H 16 O 8
b) C 8 H 16 O 8
c) 1 × 10 -5
c) 1 × 10 -5
c) 2.5 N
c) 2.5 N
d) non-ideal and shows negative deviation from Raoult’s Law
d) non-ideal and shows negative deviation from Raoult’s Law
d) 0.9965
d) 0.9965
d) 8 g
d) 8 g
c) 37°C
c) 37°C
a) 62.22 kg mol -1
a) 62.22 kg mol -1
d) 3
d) 3
b) 2.5
b) 2.5
c) α = \(\frac{\mathrm{n}(\mathrm{i}-1)}{1-\mathrm{n}}\)
c) α = \(\frac{\mathrm{n}(\mathrm{i}-1)}{1-\mathrm{n}}\)
b) 0.1 M Na 3 PO 4
b) 0.1 M Na 3 PO 4
a) 2.57
a) 2.57
a) -2°C
a) -2°C
d) 0.92
d) 0.92
a) both assertion and reason are true and reason is the correct explanation of assertion
II. Write brief answer to the following questions:
a) both assertion and reason are true and reason is the correct explanation of assertion
II. Write brief answer to the following questions:
∆T f = 0.093°C = 0.093 K, m = ?
K f = 1.86 K Kg mol -1
∆T f = K f.m
∴ m = \(\frac{\Delta \mathrm{T}_{\mathrm{f}}}{\mathrm{K}_{\mathrm{f}}}=\frac{0.093 \mathrm{~K}}{1.86 \mathrm{~K} \mathrm{Kg} \mathrm{mol}^{-1}}\)
= 0.05 mol Kg -1 = 0.05 m
∆T f = 0.093°C = 0.093 K, m = ?
K f = 1.86 K Kg mol -1
∆T f = K f.m
∴ m = \(\frac{\Delta \mathrm{T}_{\mathrm{f}}}{\mathrm{K}_{\mathrm{f}}}=\frac{0.093 \mathrm{~K}}{1.86 \mathrm{~K} \mathrm{Kg} \mathrm{mol}^{-1}}\)
= 0.05 mol Kg -1 = 0.05 m
P°C 6 H 6 = 640 mm Hg
W 2 = 2.2 g (non volatile solute)
W 1 = 40 g (benzene)
P solution = 600 mm Hg
M 2 =?
P°C 6 H 6 = 640 mm Hg
W 2 = 2.2 g (non volatile solute)
W 1 = 40 g (benzene)
P solution = 600 mm Hg
M 2 =?
(i)Molality:
Molality (m) is defined as the number of moles of the solute dissolved in one kilogram (Kg) of the solvent. The units of molality are moles per kilogram, i.e., mole kg -1. The molality is preferred over molarity if volume of the solution is either expanding or contracting with temperature.
molality (m) = \(\frac{\text { Number of mole of solute }}{\text { mess of solvent in } \mathrm{kg}}\)
ii) Normality:
Normality (N) of a solution is defined as the number of gram equivalents of the solute present in one liter of the solution. Normality is used in acid-based redox titrations.
Normality (N) = \(\frac{\text { Number of gram equivalents of solute }}{\text { Volume of solution in litre }}\)
(i)Molality:
Molality (m) is defined as the number of moles of the solute dissolved in one kilogram (Kg) of the solvent. The units of molality are moles per kilogram, i.e., mole kg -1. The molality is preferred over molarity if volume of the solution is either expanding or contracting with temperature.
molality (m) = \(\frac{\text { Number of mole of solute }}{\text { mess of solvent in } \mathrm{kg}}\)
ii) Normality:
Normality (N) of a solution is defined as the number of gram equivalents of the solute present in one liter of the solution. Normality is used in acid-based redox titrations.
Normality (N) = \(\frac{\text { Number of gram equivalents of solute }}{\text { Volume of solution in litre }}\)
“The pressure exerted by the vapors above the liquid surface which is in equilibrium with the liquid at a given temperature is called vapor pressure”.
b) What is a relative lowering of vapour pressure?
The relative lowering of vapour pressure is defined as the ratio of lowering of vapour pressure to the vapour pressure
of pure solvent (P 0 ) RLVP = \(\frac{p^{0}-P}{P^{0}}\)
“The pressure exerted by the vapors above the liquid surface which is in equilibrium with the liquid at a given temperature is called vapor pressure”.
b) What is a relative lowering of vapour pressure?
The relative lowering of vapour pressure is defined as the ratio of lowering of vapour pressure to the vapour pressure
of pure solvent (P 0 ) RLVP = \(\frac{p^{0}-P}{P^{0}}\)
Henry’s law:
This law states “that the partial pressure of the gas in vapour phase is directly proportional to the mole fraction (x) of the gaseous solute in the solution at low concentrations.”
P solute ∝ x solute in solution
P solute = K H. x solute in solution
x solute = mole fraction of solute in the solution
K H = empirical constant.
P solute = Vapour pressure of the solute (or) the partial pressure of the gas in vapour state. The value of K H depends on the nature of the gaseous solute and solvent.
Henry’s law:
This law states “that the partial pressure of the gas in vapour phase is directly proportional to the mole fraction (x) of the gaseous solute in the solution at low concentrations.”
P solute ∝ x solute in solution
P solute = K H. x solute in solution
x solute = mole fraction of solute in the solution
K H = empirical constant.
P solute = Vapour pressure of the solute (or) the partial pressure of the gas in vapour state. The value of K H depends on the nature of the gaseous solute and solvent.
In an ideal solution, the vapour pressure of the solution is decreased when a non-volatile solute is dissolved in a solvent. The magnitude of decrease in the vapour pressure of the solution depends on the amount of solute added.
Let us consider the solution with the following features.
Mole fraction of the solvent = x A
Mole fraction of the solute = x B
Vapour pressure of the pure solvent = P° A
Vapour pressure of solution = P
As the solute is nonvolatile, the vapour pressure of the solution is only due to the solvent. Therefore, the vapour pressure of the solution (P) will be equal to the vapour pressure of the solvent (P A ) over the solution.
i.e., P = P A
According to Raoult’s law, the vapour pressure of solvent over the solution is equal to the product or its vapour pressure in a pure state and its mole fraction.
P A = P° A x A or
P = P° A x A
In an ideal solution, the vapour pressure of the solution is decreased when a non-volatile solute is dissolved in a solvent. The magnitude of decrease in the vapour pressure of the solution depends on the amount of solute added.
Let us consider the solution with the following features.
Mole fraction of the solvent = x A
Mole fraction of the solute = x B
Vapour pressure of the pure solvent = P° A
Vapour pressure of solution = P
As the solute is nonvolatile, the vapour pressure of the solution is only due to the solvent. Therefore, the vapour pressure of the solution (P) will be equal to the vapour pressure of the solvent (P A ) over the solution.
i.e., P = P A
According to Raoult’s law, the vapour pressure of solvent over the solution is equal to the product or its vapour pressure in a pure state and its mole fraction.
P A = P° A x A or
P = P° A x A
If m = 1 then ∆T f = K f
“Then K f is equal to the depression in freezing point for 1 molal solution”. No, it does not depends on the nature of the solute.
If m = 1 then ∆T f = K f
“Then K f is equal to the depression in freezing point for 1 molal solution”. No, it does not depends on the nature of the solute.
Osmosis is a spontaneous process by which the solvent molecules pass through a semipermeable membrane from a solution of lower concentration to the solution of higher concentration.
Osmosis is a spontaneous process by which the solvent molecules pass through a semipermeable membrane from a solution of lower concentration to the solution of higher concentration.
Two solutions having same osmotic pressure at a given temperature are called isotonic solutions.
Two solutions having same osmotic pressure at a given temperature are called isotonic solutions.
(A) Unsaturated solution:
It can dissolve salt in addition to it.
(B) Saturated solution:
Further solubility of salt does not take place but solubility can take place on heating.
(c) Supersaturated solution:
Solubility of salt does not take place on even further heating.
(A) Unsaturated solution:
It can dissolve salt in addition to it.
(B) Saturated solution:
Further solubility of salt does not take place but solubility can take place on heating.
(c) Supersaturated solution:
Solubility of salt does not take place on even further heating.
1. The change in pressure does not have any significant effect on the solubility of solids and liquids as they are not compressible. However, the solubility of gases generally increases with the increase in pressure.
2. According to Le – chatter’s principle, the increase in pressure will shift the equilibrium in the direction which will reduce the pressure. Therefore, more gaseous molecules dissolve in the solvent.
3. If pressure increases, the solubility of gas also increases.
1. The change in pressure does not have any significant effect on the solubility of solids and liquids as they are not compressible. However, the solubility of gases generally increases with the increase in pressure.
2. According to Le – chatter’s principle, the increase in pressure will shift the equilibrium in the direction which will reduce the pressure. Therefore, more gaseous molecules dissolve in the solvent.
3. If pressure increases, the solubility of gas also increases.
Given:
Molarity = 12 M HCl
density of solution = 1.2 g L -1
In 12 M HCl solution, there are 12 moles of HCl in 1 litre of the solution.
Molality = \(\frac{\text { no of moles of solute }}{\text { mass of solvent (in } \mathrm{kg} \text { ) }}\)
Calculate mass of water(solvent)
mass of 1 litre HCl solution = density × volume
= 1.2 × gmL -1 × 1000 mL = 1200 g
mass of HCl = no. of moles of HCl × molar mass of HCl
= 12 mol × 36.5 g mol -1
= 438 g.
mass of water = mass of HCl solution – mass of HCl
mass of water = 1200 – 438 = 762 g
molality(m) = \(\frac{12}{0.762}\) = 15.75 m
Given:
Molarity = 12 M HCl
density of solution = 1.2 g L -1
In 12 M HCl solution, there are 12 moles of HCl in 1 litre of the solution.
Molality = \(\frac{\text { no of moles of solute }}{\text { mass of solvent (in } \mathrm{kg} \text { ) }}\)
Calculate mass of water(solvent)
mass of 1 litre HCl solution = density × volume
= 1.2 × gmL -1 × 1000 mL = 1200 g
mass of HCl = no. of moles of HCl × molar mass of HCl
= 12 mol × 36.5 g mol -1
= 438 g.
mass of water = mass of HCl solution – mass of HCl
mass of water = 1200 – 438 = 762 g
molality(m) = \(\frac{12}{0.762}\) = 15.75 m
C = 0.25 M
T = 37O.28 K
(π) gIucose = CRT
(π) = 0.25 mol L -1 x 0.082 L atm K -1 morl -1 x 370.28K
= 7.59 atm
C = 0.25 M
T = 37O.28 K
(π) gIucose = CRT
(π) = 0.25 mol L -1 x 0.082 L atm K -1 morl -1 x 370.28K
= 7.59 atm
∆T f = K f i.e
∆T f α m
m CH 3 -OH = \(\frac{\left(\frac{10}{32}\right)}{0.1}\)
= 3.125 m
m C 2 H 5 -OH = \(\frac{\left(\frac{20}{46}\right)}{0.2}\)
= 2.174 m
∴ Depression in freezing point is more in methanol solution and it will have lower freezing point.
∆T f = K f i.e
∆T f α m
m CH 3 -OH = \(\frac{\left(\frac{10}{32}\right)}{0.1}\)
= 3.125 m
m C 2 H 5 -OH = \(\frac{\left(\frac{20}{46}\right)}{0.2}\)
= 2.174 m
∴ Depression in freezing point is more in methanol solution and it will have lower freezing point.
In 10 -4 M K 2 SO 4 solution, there are 10 -4 moles of potassium sulphate.
K 2 SO 4 molecule contains 3 ions (2K+ and 1 SO 4 2- )
1 mole of K 2 SO 4 molecule contains 3 × 6.023 × 10 23 ions
10 -4 mole of K 2 SO 4 contains 3 × 6.023 × 10 23 × 10 -4 ions
= 18. 069 × 10 19
In 10 -4 M K 2 SO 4 solution, there are 10 -4 moles of potassium sulphate.
K 2 SO 4 molecule contains 3 ions (2K+ and 1 SO 4 2- )
1 mole of K 2 SO 4 molecule contains 3 × 6.023 × 10 23 ions
10 -4 mole of K 2 SO 4 contains 3 × 6.023 × 10 23 × 10 -4 ions
= 18. 069 × 10 19
(K H ) benzene = 4.2 × 10 -5 mm
Solubility of methane =?
P = 750 mm Hg P = 840 mm Hg
According to Henrys Law,
P = K H X in solution
750 mm Hg = 4.2 × 10 -5 mm Hg. X in solution
⇒ X in solution = \(\frac{750}{4.2 \times 10^{-5}}\)
i. e solubility = 178. 5 × 10 5
similarly at P = 840 mm Hg
solubility = \(\frac{840}{4.2 \times 10^{-5}}\) = 200 × 10 -5
(K H ) benzene = 4.2 × 10 -5 mm
Solubility of methane =?
P = 750 mm Hg P = 840 mm Hg
According to Henrys Law,
P = K H X in solution
750 mm Hg = 4.2 × 10 -5 mm Hg. X in solution
⇒ X in solution = \(\frac{750}{4.2 \times 10^{-5}}\)
i. e solubility = 178. 5 × 10 5
similarly at P = 840 mm Hg
solubility = \(\frac{840}{4.2 \times 10^{-5}}\) = 200 × 10 -5