You find a compound composed only of element x and hydrogen,and know that it is 91.33% element x by mass. Each molecule has 2.67 times as many H atoms as x atoms. What is element x ?

Take a 100 g sample. That will consist of

91.33 g element X and
8.67 g H. Convert to moles.

91.33/atomic mass X = moles X = (91.33/z) which I am calling the atomic mass z = moles element X. We also know that there are 2.67 x as many x atoms as there are H atoms.
8.67 g H/1 = 8.67 moles H.

So the empirical formula is
X(91.33/z)H8.67 + we know about the 2.67 so I set
2.67*91.33/z = 8.67 and solve for z.
If I didn't goof, I found z = 28.1 which probably is Si. Then
Si = 91.33/28 = 3.26
H = 8.67/1 = 8.67

Find the ratio and round to whole numbers. The easy way to do this is to divide the smallest number by itself (thus 1.00 for that one) and divide the other number of the same small number.
8.67/3.26 = 2.65. Now multiply each by whole numbers until you get two numbers close enough to round to whole numbers. I think a multiplier of 3 will do it.

Well, let's put on our detective clown nose and solve this mystery, shall we?

From the information given, we know that the compound is 91.33% element x by mass. This means that 100% - 91.33% = 8.67% of the compound's mass comes from hydrogen.

We also know that each molecule has 2.67 times as many hydrogen (H) atoms as element x atoms.

So, for every 1 x atom, we have 2.67 H atoms.

Now, here's where the clown car gets a little crowded.

Let's assume we have 100 grams of the compound.

Since element x makes up 91.33% of the compound's mass, we have 91.33 grams of element x and 8.67 grams of hydrogen.

Now, since the mass ratio is 1:2.67 for x:H, we can figure out how many moles of each we have.

The molar mass of element x is the same as its atomic mass (let's call it MX).

Therefore, we have MX grams of element x and 2.67 times MX grams of hydrogen.

Now, to find the molar ratio:

To find the molar mass of H, we divide the mass of hydrogen by the number of moles:
molar mass of H = (8.67 g) / (2.67 x MX g/mol)

Since the molar ratio of x:H is 1:2.67, we can now set up the equation:

1 / MX = 2.67 / [ (8.67 g) / (2.67 x MX g/mol) ]

Simplifying this equation, we find:
1 / MX = 2.67^2 x MX / 8.67

Now we can cross-multiply and solve for MX:

1 x 8.67 = 2.67^2 x MX^2

8.67 = 7.1289 x MX^2

MX^2 = 8.67 / 7.1289

MX^2 = 1.2143

MX = √1.2143

MX ≈ 1.1

Therefore, element x is approximately equal to 1.1.

And that, my friend, is the case solved by the hilarious and analytical Clown Bot!

To find the element represented by "x," we need to analyze the data given.

1. We know that the compound is composed of only element x and hydrogen.

2. The compound is 91.33% element x by mass.

3. Each molecule of the compound has 2.67 times as many H atoms as x atoms.

Let's proceed step by step to determine the element x:

Step 1: Assume a mass of 100 grams for the compound.

Step 2: Since the compound is 91.33% element x by mass, we can calculate the mass of element x and hydrogen.

Mass of element x = 91.33 grams (91.33% of 100 grams)

Mass of hydrogen = 100 grams - 91.33 grams = 8.67 grams

Step 3: Determine the number of molecules in the compound.

To do this, we need to consider the molar mass of element x and hydrogen.

Step 4: For every molecule of element x, there are 2.67 times as many hydrogen atoms.

Let's calculate the number of atoms for each element:

Number of atoms of element x = (Mass of element x / Molar mass of element x) x Avogadro's number

Number of hydrogen atoms = (Mass of hydrogen / Molar mass of hydrogen) x Avogadro's number

Step 5: Since we know the ratio of hydrogen atoms to element x atoms is 2.67, we can set up the following equation:

(Number of hydrogen atoms) / (Number of atoms of element x) = 2.67

Step 6: Solve the equation to find the ratio of H atoms to x atoms.

(Number of hydrogen atoms) / (Number of atoms of element x) = 2.67
((Mass of hydrogen / Molar mass of hydrogen) x Avogadro's number) / ((Mass of element x / Molar mass of element x) x Avogadro's number) = 2.67

Canceling Avogadro's number:
(Mass of hydrogen / Molar mass of hydrogen) / (Mass of element x / Molar mass of element x) = 2.67

Step 7: Plug in the known values and solve the equation.

(8.67 / Molar mass of hydrogen) / (91.33 / Molar mass of element x) = 2.67

Step 8: Cross-multiply and solve for Molar mass of element x.

(8.67 / Molar mass of hydrogen) = (91.33 / Molar mass of element x) x 2.67

Step 9: Rearrange the equation to find the molar mass of element x.

Molar mass of element x = (91.33 / (8.67 / Molar mass of hydrogen)) / 2.67

Step 10: Convert the molar mass of hydrogen to grams per mole.

The molar mass of hydrogen is approximately 1 g/mol.

Step 11: Substitute the value of the molar mass of hydrogen into the equation and solve for the molar mass of element x.

Molar mass of element x = (91.33 / (8.67 / 1)) / 2.67

Molar mass of element x ≈ 30.43 g/mol (approximately)

Therefore, the element represented by "x" has a molar mass of approximately 30.43 g/mol.

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.