Will 100g of copper completely replace all the silver in 200g of silver nitrate

A limiting reagent problem.

2AgNO3 + Cu ==> Cu(NO3)2 + 2Ag
mols Cu = grams/atomic mass = ?
mols AgNO3 = grams/molar mass = ?

Using the coefficients in the balanced equation:
Convert mols Cu to mols Ag
Convert mols AgNO3 to mols Ag

The smaller number wins; i.e., if AgNO3 is the limiting reagent (the smaller number mols of Ag produced) then that amount of Cu will replace all of the Ag in AgNO3.

To determine whether 100g of copper will completely replace all the silver in 200g of silver nitrate, we need to calculate the amount of silver in the silver nitrate and compare it to the amount of copper.

Here's the step-by-step process to find the answer:

Step 1: Determine the molar mass of silver nitrate (AgNO3).
The molar mass of silver (Ag) is 107.87 g/mol.
The molar mass of nitrogen (N) is 14.01 g/mol.
The molar mass of oxygen (O) is 16.00 g/mol.
Multiply the molar mass of nitrogen by 1 (since there is one nitrogen atom in silver nitrate).
Multiply the molar mass of oxygen by 3 (since there are three oxygen atoms in silver nitrate).
Add the molar mass of silver, nitrogen, and three oxygens to get the molar mass of silver nitrate:
107.87 + 14.01 + (16.00 * 3) = 169.87 g/mol.

Step 2: Calculate the amount of silver in 200g of silver nitrate.
The amount of silver in silver nitrate is 1 mole of Ag for every one mole of AgNO3.
To find the amount of silver in 200g of silver nitrate, divide the given mass by the molar mass of silver nitrate and multiply by the mole ratio:
(200g / 169.87 g/mol) * 1 mol Ag / 1 mol AgNO3 = 1.18 moles of Ag.

Step 3: Compare the amount of silver to the amount of copper.
The molar mass of copper (Cu) is 63.55 g/mol.
To find the amount of copper that is needed to replace all the silver, divide the number of moles of silver by the mole ratio of copper to silver:
1.18 moles Ag * 1 mol Cu / 1 mol Ag = 1.18 moles of Cu.
Next, calculate the mass of copper needed by multiplying the number of moles by the molar mass of copper:
1.18 moles Cu * 63.55 g/mol = 74.9g of Cu.

Step 4: Compare the amount of copper to the given amount of copper.
If the given amount of copper is less than or equal to 74.9g, then 100g of copper will completely replace all the silver in 200g of silver nitrate. Otherwise, it will not.

Therefore, based on the calculations, it can be concluded that 100g of copper will not completely replace all the silver in 200g of silver nitrate because 100g is less than the required amount of copper which is 74.9g.