To determine the element represented by "x," we need to use the given information. Let's break down the problem step by step:
1. Start by assuming we have 100 grams of the compound. This assumption simplifies the calculations and does not affect the final answer.
2. Since the compound is 91.33% element x by mass, we know that 91.33 grams of the compound is element x.
3. Next, we need to find the mass of hydrogen in the compound. Since the remaining portion (100 - 91.33 = 8.67 grams) represents hydrogen, we know that the mass of hydrogen is 8.67 grams.
4. Now, we need to determine the number of moles for each element. To find the number of moles, we divide the mass by the molar mass of each element.
5. The molar mass of element x is unknown, so let's call it M_x. Additionally, the molar mass of hydrogen is 1 g/mol.
6. For element x, the number of moles (n_x) is calculated as n_x = mass_x / M_x, where mass_x is 91.33 grams and M_x is the molar mass of element x.
7. Similarly, for hydrogen, the number of moles (n_H) is calculated as n_H = mass_H / M_H, where mass_H is 8.67 grams and M_H is the molar mass of hydrogen (1 g/mol).
8. According to the given information, each molecule has 2.67 times as many hydrogen atoms as element x atoms. This means the ratio of n_H to n_x is 2.67.
9. We can equate the two ratios: n_H / n_x = 2.67.
Now, let's determine the molar mass of element x and solve the equation:
n_H / n_x = 2.67
(mass_H / M_H) / (mass_x / M_x) = 2.67
(8.67 g / 1 g/mol) / (91.33 g / M_x) = 2.67
(8.67 g * M_x) / (1 g/mol * 91.33 g) = 2.67
8.67 * M_x = 2.67 * 91.33
M_x = (2.67 * 91.33) / 8.67
After performing the calculation, we find that the molar mass of element x is approximately 28.2 g/mol.
The molar mass of an element is often used to identify it. However, without additional information, we cannot definitively determine the identity of element x based solely on its molar mass.