3g of a metal (iii) reacts with mercury (ii) chloride to form metal (iii) chloride and mercury (ii) iodide. Identify unknown metal product.

The lower case i is not correct. It should be, for example, mercury(II) chloride.

What does metal(iii) mean? Is that an M^3+ ion.
And where does the I of HgI2 come from?
I think your post needs editing and re-posting.

Another.

You didn't tell us how much metal(III) chloride OR how much HgI2 was formed. We beed one of them.

To identify the unknown metal product formed when 3g of a metal (III) reacts with mercury (II) chloride to form metal (III) chloride and mercury (II) iodide, we need to use the concept of stoichiometry.

First, we need to determine the moles of the given substance. To do this, we can use the molar mass of the metal (III).

Let's assume the molar mass of the metal (III) is M.

The moles of the metal (III) can be calculated using the formula:

moles = mass / molar mass

moles of metal (III) = 3g / M

Next, we need to determine the stoichiometric ratio between the metal (III), mercury (II) chloride, metal (III) chloride, and mercury (II) iodide.

The balanced chemical equation for the reaction is:

2 M + 3 HgCl2 → 2 MCl3 + 3 HgI2

From the balanced equation, we can determine that for every 2 moles of M (metal III), we get 2 moles of MCl3.

Therefore, the moles of MCl3 can be calculated using the formula:

moles of MCl3 = (moles of metal III) x (moles of MCl3 / moles of M)

moles of MCl3 = (3g / M) x (2 moles MCl3 / 2 moles M)

Simplifying the expression, we get:

moles of MCl3 = 3g / M

Similarly, we can determine the moles of HgI2 formed using the stoichiometric ratio. From the balanced equation, we can see that for every 2 moles of M (metal III), we get 3 moles of HgI2.

Therefore, the moles of HgI2 can be calculated using the formula:

moles of HgI2 = (moles of metal III) x (moles of HgI2 / moles of M)

moles of HgI2 = (3g / M) x (3 moles HgI2 / 2 moles M)

Simplifying the expression, we get:

moles of HgI2 = (9g / 2M)

From the reaction, we can deduce that 3g of metal (III) reacts to form 9g of HgI2.

Finally, we need to determine the unknown metal (M). We can do this by comparing the ratio of the molar mass of M (metal III) to the molar mass of HgI2.

Comparing the ratios, we get:

3g / M = 9g / (molar mass of HgI2)

Cross-multiplying, we find:

3g * (molar mass of HgI2) = 9g * M

Simplifying the expression, we get:

molar mass of HgI2 = 3M

Using this equation, we can substitute the molar mass of HgI2 with the known value (molar mass of HgI2 ≈ 454 g/mol) to solve for M (metal III).

3M = 3g * (molar mass of HgI2) / 9g

M ≈ (molar mass of HgI2) / 3

Substituting the value of (molar mass of HgI2 ≈ 454 g/mol), we can calculate the molar mass of M.

M ≈ 454 g/mol / 3

M ≈ 151.33 g/mol

Therefore, the molar mass of the unknown metal (M) is approximately 151.33 g/mol.