Given below are two statements: Statement I: The Henry's law constant K_H is constant with respect to variations in solution's concentration over the range for which the solutions is ideally dilute. Statement II: K_H does not differ for the same solute in different solvents. In the light of the above statements, choose the correct answer from the options.

Solution & Explanation

### Core Logic Statement I: K_H is independent of concentration as long as the solution behaves ideally (is very dilute). This matches the physical definition of Henry's Law constant. (True) Statement II: Henry's Law constant (K_H) depends on the nature of the gas, the nature of the solvent, and the temperature. Therefore, it absolutely differs for the same gas dissolved in different solvents. (False) ### Step 1: Final Conclusion Statement I is true but Statement II is false. ### Pattern Recognition The constants for solubility laws (like K_H) are fundamentally tied to the intermolecular interactions between the specific solute and the specific solvent. ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 12 Chemistry: Solutions

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Q59 jee_main_2026_21_jan_morning Elevation of Boiling Point
Elements P and Q form two types of non-volatile, non-ionizable compounds PQ and PQ_2. When 1 g of PQ is dissolved in 50 g of solvent ‘A’. Delta T_b was 1.176 K while when 1 g of PQ_2 is dissolved in 50 g of solvent ‘A’, Delta T_b was 0.689 K. (K_b of ‘A’ = 5text K kg mol^-1). The molar masses of elements P and Q (in textg mol^-1) respectively, are :
  • A. 70, 110
  • B. 65, 145
  • C. 60, 25
  • D. 25, 60

Solution

### Related Formula Delta T_b = K_b times m m = fractextWeight of solute (g)textMolar mass of solute times frac1000textWeight of solvent (g) ### Core Logic For compound PQ: (Delta mathrmT_b)_mathrmPQ = mathrmK_b cdot m 1.176 = 5 times frac1mathrmM_1 times frac100050 mathrmM_1 = frac5 times 201.176 = 85.03 text g/mol For compound PQ_2: (Delta mathrmT_b)_mathrmPQ_2 = 5 times frac1mathrmM_2 times frac100050 = 0.689 mathrmM_2 = frac5 times 200.689 = 145.13 text g/mol Let molar mass of P & Q be mathrmM_P and mathrmM_Q respectively: mathrmM_P + mathrmM_Q = 85.03 quad text--- (1) mathrmM_P + 2mathrmM_Q = 145.13 quad text--- (2) Subtracting (1) from (2): mathrmM_Q = 145.13 - 85.03 = 60.1 approx 60 text g/mol Substituting back into (1): mathrmM_P + 60.1 = 85.03 implies mathrmM_P = 24.93 approx 25 text g/mol ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 12 Chemistry: Solutions
Q72 jee_main_2026_21_jan_evening Osmotic Pressure and Isotonic Solutions
The osmotic pressure of a living cell is 12 atm at 300 K. The strength of sodium chloride solution that is isotonic with the living cell at this temperature is \_\_\_\_ text g L^-1. (Nearest integer) Given: R = 0.08 text L atm K^-1 text mol^-1 Assume complete dissociation of textNaCl (Given: Molar mass of Na and Cl are 23 and 35.5 text g mol^-1 respectively.)
Numerical Answer. Answer: 15 to 15

Solution

### Related Formula pi = i C R T ### Core Logic Given: - pi = 12 text atm - T = 300 text K - i = 2 (for complete dissociation of textNaCl) - R = 0.08 text L atm K^-1 text mol^-1 12 = 2 times C times 0.08 times 300 implies 12 = 48C implies C = 0.25 text mol/L ### Step 1: Calculating Strength Molar mass of textNaCl = 23 + 35.5 = 58.5 text g/mol. Strength = 0.25 times 58.5 = 14.625 text g/L approx 15 text g/L. ### Pattern Recognition Sees: osmotic pressure calculation for isotonic solutions with electrolyte dissociation. Trap: Forgetting Van 't Hoff factor i = 2 for textNaCl. ### Chapter Mix Class 12 Chemistry: Solutions
Q73 jee_main_2026_21_jan_evening Elevation in Boiling Point and Vapour Pressure Lowering
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 text g mol^-1) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is \_\_\_\_ times 10^-2. (Nearest integer) [Given: K_b of the solvent = 5.0 text K kg mol^-1] Assume the solution to be dilute and no association or dissociation of X takes place in solution.
Numerical Answer. Answer: 3 to 3

Solution

### Related Formula Delta T_b = K_b cdot m, quad fracP^circ - P_sP^circ = chi_textsolute ### Core Logic Using boiling point elevation: Delta T_b = K_b times m implies 0.5 = 5.0 times m implies m = 0.1 text mol/kg Moles of solvent Y = frac150300 = 0.5 text mol. Moles of solute X = 0.1 times 0.150 = 0.015 text mol. Relative lowering of vapour pressure = chi_textsolute = frac0.0150.015 + 0.5 approx frac0.0150.5 = 0.03 = 3 times 10^-2. ### Step 1: Final Calculation Thus, the nearest integer value is 3. ### Pattern Recognition Sees: boiling point elevation combined with relative lowering of vapour pressure calculation. Trap: Confusing solvent mass with solution mass when calculating mole fraction. ### Chapter Mix Class 12 Chemistry: Solutions
Q57 jee_main_2026_22_january_morning Henrys Law
Consider a solution of CO_2(g) dissolved in water in a closed container. Which one of the following plots correctly represents variation of log (partial pressure of CO_2 in vapour phase above water) [y-axis] with log (mole fraction of CO_2 in water) [x-axis] at 25^circC?
  • A. textGraph 1
  • B. textGraph 2
  • C. textGraph 3
  • D. textGraph 4

Solution

### Related Formula P = K_H cdot X Taking logarithm on both sides: log P = log K_H + log X ### Core Logic From Henry's Law: log P(g) = log X(g) + log K_H This equation represents a straight line of the form y = mx + c, where: y = log P(g) x = log X(g) Slope (m) = +1 y-intercept (c) = log K_H (which is positive). The plot of log P versus log X is a straight line with a positive slope and a positive intercept on the y-axis. ### Step 1: Conclusion Graph 3 corresponds to a straight line with a positive slope and a positive y-intercept. ### Pattern Recognition When variables are multiplied (P = K_H X), their log plot is always a straight line with a slope of +1 and an intercept equal to the log of the constant. ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 12 Chemistry: Solutions

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