Question

Two bottles of A and B contains 1M and 1m aqueous solution $\left(d=1g/mL\right)$ of sulphuric acid respectively. Which of the following statement is true about A and B?

• A. A is more concentrated than B
• B. B is more concentrated than A
• C. Concentration of A = conc. of B
• D. It is not possible to compare the concentration

Answer 1

The correct option is A A is more concentrated than B

$A$is more concentrated than $B$ because $1$ $molar$ have more concentration than $1$ $molal$

Converting $1$ $m$ to Molarity

$1$ $molal=$ $1$ $moles$ in $1$ $kg$ solvent.

Total mass of solution $=1000+M_{solute}$

Volume of solution $1000+M_{solute}$ $mL$

Molarity of $1$ $molal$ solution $=\frac{1}{\frac{1000+M_{solute}}{1000}}=\frac{1}{1+\frac{M_{solute}}{1000}}$

Since, $Msolute>0$

Concentration Molarity> Molality

A is more concentrated than B

Hence, the correct option is $A$