Chemistry in Calculus!

Chemistry Level pending

A reaction flask of capacity 1 liter, contains 4 moles of \(\text{P}_{4}\), 7 moles of \(\text{NaOH}\) and 9 moles of \(\text{H}_{2}\text{O}\) at \(t=0\). The reaction is governed by the following 3rd order chemical equation (unbalanced):

\[\text{P}_{4}(s)+\text{NaOH}(l)+\text{H}_{2}\text{O}(l) \rightarrow \text{PH}_{3}(g)+\text{NaH}_{2}\text{PO}_{2}(aq)\]

If the time taken for the formation of \(3\) moles of \(\text{PH}_{3}\) is \(\frac{a}{b}\ln\left(\frac{c}{d}\right),\) what is the value of \(a+b+c+d?\)

Details and Assumptions:

\(\bullet\) The rate constant is \(k= 1.5\text{ L}^{2}\text{mol}^{-2}\text{s}^{-1}.\)

\(\bullet\) If you think the reaction will terminate before the formation of the required amount of product, enter your answer as \(0\).

\(\bullet\) \(a\) and \(b\), \(c\) and \(d\) are pairs of co-prime integers.


Problem Loading...

Note Loading...

Set Loading...