The osmotic pressure of a 0.9 weight percent solution of sodium chloride (NaCl) is equal to the osmotic pressure of a 5 weight percent solution of non-dissociating molecule X. What is the molecular weight of molecule X

The molar mass of molecule X is 162.5 g/mol

Explanation:

We are given:

0.9 % of NaCl

This means that 0.9 grams of NaCl is present in 100 grams of solution

5 % of molecule X

This means that 5 grams of molecule X is present in 100 grams of solution

To calculate the concentration of solute, we use the equation for osmotic pressure, which is:

Or,

where,

i = Van't hoff factor

R = Gas constant =

T = temperature of the solution

According to the question:

Osmotic pressure of both the solutions are same.

So, the equation becomes:

where,

Putting values in above equation, we get:

Hence, the molar mass of molecule X is 162.5 g/mol

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