$At 25 ° C for a given solution M = m, then at 50 ° C the correct relationship is$

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$M = m$

$M > m$

$M = 2 m$

$M < m$

answer is C.

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Detailed Solution

We know that Molality $(m) = \frac{N u m b e r o f m o l e s o f s o l u t e}{M a s s o f s o l v e n t i n k g}$

Molarity $(M) = \frac{N u m b e r o f m o l e s o f s o l u t e}{V o l u m e o f s o l u t i o n i n l i t r e}$

We can see molality $(m)$ of a solution is independent of the Temperature as there is no corresponding change in the molality as temperature increases.

But Molarity $(M)$ is dependent on temperature, as temperature increases the volume of the solution also increases decreasing the Molarity of the solution.

Therefore, Molarity $(M)$ < Molality $(m)$

Hence, option(c) is correct.

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