Preparation of Sodium Dichromate
Sodium dichromate (\({Na2Cr2O7}\)) can be prepared from sodium chromate (\({Na2CrO4}\)) by acidifying the chromate solution using sulfuric acid (\({H2SO4}\)).
Upon acidification, chromate ions (\({CrO4^{2-}}\)) are converted into dichromate ions (\({Cr2O7^{2-}}\)), and sodium dichromate precipitates.
Balanced Chemical Equation:
\[ 2{Na2CrO4} + {H2SO4} \rightarrow {Na2Cr2O7} + {H2O} + {Na2SO4} \]
Note: If the simplified reaction is written omitting side products:
\[ {Na2CrO4} + 2{H2SO4} \rightarrow {Na2Cr2O7} + {H2O} \]
This process involves an equilibrium shift from yellow chromate (\({CrO4^{2-}}\)) to orange dichromate (\({Cr2O7^{2-}}\)) in acidic conditions.

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?