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Two bottles X and Y contains 1 molar and 1 molal aqueous solutions of caustic soda respectively:
1. Y is more concentrated than X
2. X is more concentrated than Y
3. X and Y have equal concentrations
4. It is impossible to compare concentrations

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Correct Answer - Option 2 : X is more concentrated than Y

Explanation -

  • To compare the concentrations of caustic soda in bottles X and Y, we first have to convert them into the same unit of concentration.
  • So we will be converting the concentration of 1 molar to molality. 
  • In bottle X, 1 Molar or 1M means 1 mol of NaOH in 1000ml of water. 
  • So, we can say that 1 mol of NaOH is present in 1000g of the solution because density is 1gm/ml.
  • In 1000g of solution, the mass of NaOH is = 40g 
  • 1 mol of NaOH is in (1000 - 40g = 960g) of water 
  • Hence, Molality of NaOH in X is equal to 91/960) X 1000 = 1.041 
  • 1.041 > 1, Concentration in bottle X is more than bottle Y. 

Thus, the concentration of 1 molar NaOH is greater than 1 molal of NaOH.

The correct answer to this question is  - X is more concentrated than Y. 

There are three units of concentration in chemistry:

1. Molarity

  • The amount of moles of solute per litre of solution is known as molarity (M).
  • Molarity is defined as the number of moles of solute per litre of solution.
  • Sulphuric acid, for example, has a molecular mass of 98. If 98 grammes of sulphuric acid are present in 1 litre of solution, the solution is called a molar solution of sulphuric acid. As a result, the molarity will be 1.

2. Molality

  • The amount of moles of solute per kilogramme of solvent is known as molality (m).
  • Molality is defined as the number of moles of solute per kilogramme of solvent.
  • It is 1 molal solution of sulphuric acid in water if 98 gramme of sulphuric acid is present in 1 kilogramme of water. As a result, molality will be 1.

3. Normailtiy

  • The number of equivalents per litre of solution is defined as normality:
  • Number of equivalents /1 L of solution = normality
  • Because only one mole of H+ is generated per mole of HCl, a 1 N HCl solution equals a one molar HCl solution.
  • However, because 2 moles of H+ are generated per mole of acid in sulphuric acid H2SO4, 1 mol H2SO4 = 2N H2SO4.

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