A sample of a curium isotope was roasted. It was determined that the product( curium oxide) contained 11,59% of oxygen.¿ What is the equivalent weight of the isotope in the oxide? ¿ What is the mass of the curium isotope?

I have already gotten the answer for the first question ( equivalent weight = 61) but I don't know how to do the last question.
My teacher told me that the answer has to be 244g ,and I have to use the equivalent weight that I found but I really don't get how...
Could anyone tell how to calculate the mass of the isotope using the equivalent weight?

61 x 4 = 244.

Mmm how did you get the 4?

How did you get 61?

To calculate the mass of the curium isotope, we can use the equivalent weight and the percentage of oxygen in the curium oxide product.

First, let's start with the balanced chemical equation for the reaction:

Curium + Oxygen ⟶ Curium Oxide

From the information given, we know that the curium oxide contains 11.59% oxygen. This is the mass percentage of oxygen in the compound. Therefore, the remaining percentage (100% - 11.59%) corresponds to the curium in the compound.

Let's assume that you have a certain mass of curium oxide, and its mass is 100 grams (for simplicity). From the given information, we know that this mass consists of 11.59 grams of oxygen and 100 - 11.59 = 88.41 grams of curium.

Now, we need to find the equivalent weight of curium (which you have already found to be 61 grams). The equivalent weight is the number of grams of a substance that contains one equivalent of the substance. In this case, 61 grams of curium is equivalent to one equivalent.

To find the number of equivalents of curium present in the 88.41 grams of curium, we divide the mass of curium by the equivalent weight:

Number of equivalents of curium = Mass of curium / Equivalent weight of curium
Number of equivalents of curium = 88.41 g / 61 g/mol (using the given equivalent weight)
Number of equivalents of curium ≈ 1.449 equivalents (rounded to three decimal places)

Since the number of equivalents of curium is approximately 1.449, and we assumed 100 grams of curium oxide, it follows that one equivalent of curium oxide weighs approximately 100 grams / 1.449 equivalents ≈ 69.03 grams.

Now, since the equivalent weight is defined for one equivalent, we can say that the mass of the isotope is equal to the equivalent weight multiplied by the number of equivalents:

Mass of curium isotope = Equivalent weight × Number of equivalents
Mass of curium isotope ≈ 61 g/mol × 1.449 equivalents
Mass of curium isotope ≈ 88.41 grams

Therefore, the mass of the curium isotope is approximately 88.41 grams.

It seems there might be a discrepancy in the answer your teacher provided (244 grams) compared to the calculated result. However, it is important to note that the answer might depend on the specific isotope of curium used in the reaction. Please double-check with your teacher or provide additional information if necessary.