How many grams of TiCl4 are needed to produce 17.8 g of titanium? what equation do i use?

I actually figured out how to do that one. but i have another one

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Living organisms give a decay rate of 15.3 counts/min for each gram of carbon in the sample. A sample of wood from an Egyptian mummy case gave a count of 7.00 counts/min for each gram of carbon in the wood. How old was the mummy case? has a half-life of 5770 y.

oops just the last part

To determine the number of grams of TiCl4 needed to produce 17.8 g of titanium, you need to use the balanced chemical equation for the reaction involved. The balanced equation for the conversion of TiCl4 to titanium is:

TiCl4 + 2Mg -> Ti + 2MgCl2

From the equation, it can be seen that one mole of TiCl4 reacts with one mole of Ti. Therefore, to calculate the grams of TiCl4 needed, you need to convert the given amount of titanium (17.8 g) to moles and then use the stoichiometry of the reaction.

First, find the molar mass of titanium (Ti) from the periodic table:
Ti: 47.867 g/mol

Now, you can calculate the number of moles of Ti:
Moles of Ti = Mass of Ti / Molar mass of Ti
Moles of Ti = 17.8 g / 47.867 g/mol

Next, using the stoichiometry of the balanced equation, you can determine the moles of TiCl4:
Moles of TiCl4 = Moles of Ti

Finally, calculate the mass of TiCl4:
Mass of TiCl4 = Moles of TiCl4 x Molar mass of TiCl4

To calculate the molar mass of TiCl4, you can find the molar mass of titanium (Ti) and the molar mass of chlorine (Cl) from the periodic table and multiply them by their respective coefficients in the balanced equation:
Molar mass of TiCl4 = (Molar mass of Ti x 1) + (Molar mass of Cl x 4)

Plug in the values and calculate to find the grams of TiCl4 needed to produce 17.8 g of titanium.

To determine how many grams of TiCl4 are needed to produce 17.8 g of titanium, you can use stoichiometry and the balanced chemical equation for the reaction between TiCl4 and titanium.

The balanced chemical equation for the reaction can be written as:

TiCl4 + 2 Mg → Ti + 2 MgCl2

From this equation, we can see that 1 mole of TiCl4 reacts to produce 1 mole of titanium. Therefore, we need to convert the given mass of titanium (17.8 g) into moles and then find the corresponding amount of TiCl4.

Let's break down the calculation step-by-step:

Step 1: Calculate the moles of titanium using its molar mass.
The molar mass of titanium (Ti) is approximately 47.87 g/mol. Divide the given mass of titanium by its molar mass:
moles of titanium = mass of titanium / molar mass of titanium
moles of titanium = 17.8 g / 47.87 g/mol

Step 2: Use the mole ratio from the balanced equation to find the moles of TiCl4.
From the balanced equation, the mole ratio between TiCl4 and Ti is 1:1. Therefore, the moles of TiCl4 will be the same as the moles of titanium.

Step 3: Convert the moles of TiCl4 to grams.
Multiply the moles of TiCl4 by its molar mass to find the required mass of TiCl4:
mass of TiCl4 = moles of TiCl4 * molar mass of TiCl4

To perform the calculation, you need the molar mass of TiCl4. The molar mass of TiCl4 (titanium(IV) chloride) is approximately 189.68 g/mol.

By following these steps and using the provided molar masses, you can calculate the mass of TiCl4 needed to produce 17.8 g of titanium.