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Question: Calculate the mass of sodium acetate \((C{H_3}COONa)\) required to make \(500ml\) of \(0.375\) molar...

Calculate the mass of sodium acetate (CH3COONa)(C{H_3}COONa) required to make 500ml500ml of 0.3750.375 molar aqueous solution. Molar mass of sodium acetate is 82.0245gmol182.0245gmo{l^{ - 1}} .

Explanation

Solution

To solve these kinds of questions the most used and best way is the molar approach. It provides us the best option to compare the values directly without any interconversion.

Complete step by step answer: First step is to find the molar concentration:
Moles of the solute in a solution = molaritymolarity ×\times volume(l)volume(l)
1litre=1000ml1 litre = 1000 ml
So 1ml1ml = 11000\dfrac{1}{1000} ll
0.3750.375 molar aqueous solution of (CH3COONa)(C{H_3}COONa) == 0.3750.375 moles of CH3COONa/1000molC{H_3}COONa/1000mol
Now, no. of moles of the CH3COONaC{H_3}COONa in 500ml500ml will be:
=0.3751000500 =0.1875moles  = \dfrac{{0.375}}{{1000}}*500 \\\ = 0.1875moles \\\
Molar mass of CH3COONaC{H_3}COONa is 82.0245gmol182.0245gmo{l^{ - 1}}
Therefore, the mass of the CH3COONaC{H_3}COONa required will be:
=82.02450.1875 15.38g  = 82.0245*0.1875 \\\ \approx 15.38g \\\

Note: Most important thing here is to write the balanced chemical equations as it is the initial and generally most careless state. Apart from that it is necessary to find the correct molar concentration. It is most common mistake of the wrong interconversion of the moles that lead to various wrong answers despite correct execution. Unit conversion should be taken care of as the volume in the molaritymolarity is in litreslitres and mlml should always be converted into litreslitres and then should be plugged into the formula.