Q. When 300ml of TiCl4(gas), at 48 degrees celcius and a pressure of 105.4kPa, is reacted with 0.4320 g of magnesium, 0.4016 g of titanium is produced.

TiCl4(gas) + 2Mg(solid) --> Ti(solid) + 2MgCl2(solid)
Calculate the percentage yield for this reaction

- The answer for this question is 94.43%, but i don't know HOW to get it.

Find the Moles of TiCl4 from the ideal gas law. PV=nRT.

Now, the balanced equation shows one mole of Ti for every mole reacted. You actually got a yield of .4620/molesTiorig

It is not necessary to see if the Mg was the limiting reagent, because you are asked for the yield with that specified. However, in the real world, it would be helpful to know if enough Mg was supplied, if one were in the business of producing Ti.

To calculate the percentage yield for a given reaction, you need to compare the actual yield (the amount of product obtained experimentally) with the theoretical yield (the maximum amount of product that can be obtained based on stoichiometry).

First, we need to determine the limiting reactant. This is the reactant that is completely consumed and determines the amount of product formed. To do this, we will calculate the number of moles of each reactant.

1. Calculate the number of moles of TiCl4:
- Convert the volume of gas from milliliters (ml) to liters (L): 300 ml = 0.3 L
- Use the ideal gas law equation: PV = nRT
- P = pressure = 105.4 kPa = 105400 Pa
- V = volume of gas = 0.3 L
- R = ideal gas constant = 8.31 J/(mol·K)
- T = temperature in Kelvin = 48 + 273.15 = 321.15 K
- Solve for n (number of moles of TiCl4): n = PV/(RT)

2. Calculate the number of moles of Mg:
- Use the molar mass of Mg to convert grams to moles: molar mass of Mg = 24.31 g/mol
- Solve for n (number of moles of Mg): n = mass/Molar mass

3. Using the balanced chemical equation, determine the stoichiometric ratio between TiCl4 and Ti.
From the equation, 1 mole of TiCl4 reacts to form 1 mole of Ti.
Therefore, the number of moles of Ti formed should be the same as the number of moles of TiCl4 reacted.

4. Calculate the theoretical yield of Ti in grams:
- Multiply the number of moles of Ti by the molar mass of Ti (47.87 g/mol).

5. Calculate the percentage yield:
- Divide the actual yield (given as 0.4016 g) by the theoretical yield.
- Multiply this value by 100 to express it as a percentage.

Following these steps, you should obtain a percentage yield of approximately 94.43%.