Final answer:
To dilute 30% w/w Ketoprofen Cream to 20% w/w, you can make 2700 grams of the 20% cream using 1800 grams of the 30% cream by ensuring the amount of Ketoprofen remains constant during dilution.
Step-by-step explanation:
The question involves the calculation required to dilute a 30% Ketoprofen w/w cream to a 20% Ketoprofen w/w cream. To solve this, we apply the concept of concentration dilution which falls under the subject of chemistry. Firstly, we need to understand that the weight percentage (w/w) of a component in a mixture is given by the ratio of the weight of the component to the total weight of the mixture, multiplied by 100%. In this case, we want to calculate how many grams of a 20% w/w Ketoprofen Cream can be made from 1800 g of a 30% w/w Ketoprofen Cream.
Assuming no change in volume upon mixing and no additional substances are added, the amount of Ketoprofen in the original 1800 g of 30% cream is 30% of 1800 g, which is 540 g. To make a 20% cream, that 540 g would need to be the 20% of the final weight. To find the final weight (let's call it 'x'), the equation would be: 540 g = 20% x, which means x = 540 g / 0.20. Calculating this, we find that x equals 2700 g.
Therefore, 2700 g of 20% w/w Ketoprofen Cream can be made from 1800 g of 30% w/w Ketoprofen Cream.