Final answer:
To determine the percent by weight (w/w%) of diphosphorus pentoxide (P₂O₅) in a liquid fertilizer solution, divide the mass of P₂O₅ (26.0 g) by the total mass of the solution (510.0 g) and multiply by 100%, yielding a result of 5.10%.
Step-by-step explanation:
The percent by weight (w/w%) of diphosphorus pentoxide in a liquid fertilizer concentrate solution can be calculated by using the mass of the P₂O₅ component and the total mass of the solution. The formula for calculating percent composition by weight is (mass of component)/(total mass) × 100%. Given that the mass of P₂O₅ in the fertilizer is 26.0 g and the total mass of the solution is 510.0 g, the percent by weight of P₂O₅ is calculated as follows:
(26.0 g P₂O₅ / 510.0 g solution) × 100% = 5.10%
Therefore, the percent by weight of diphosphorus pentoxide in the liquid fertilizer concentrate solution is 5.10%.