When 21.29 g of element A react completely with 58.37 g of E, compound A2E is formed. When 5.41 g of A react with 32.36 g of G, compound AG is formed. If elements E and G react to form EG3, what mass in grams of G is required to react with 11.94 g of E?
The molar mass of E is 51.413 g mol-1.
how do i start?? i got all the equations lined up, but i don't know where to go from there...
Start with the first reaction. Balance the reaction, you know how many moles of E were reacted, so you then know how many moles of A there are, and the mol mass of A can be figured. Be certain to balance the reaction.
Now, knowing the mol mass of A, go to the second reaction, and figure out how many moles of G reacted, and the mol mass of g
You know the molar mass E = 51.413 from the problem. Therefore, mols element A were 21.29/51.413 = 0.4141 mols A.
Convert that to element E.
mols E = mols A x (1 mol E/2 mols A) = (1/2)*0.4141 = 0.20705.
Convert that to molar mass knowing that 0.20705 mols = 58.37 g. We know #mols = g/molar mass so molar mass E = g/#mols = 58.37/0.20705 = 281.9 if I didn't make a math error.
That should get you started. Post your work if you need more help.
To solve this problem, you need to use stoichiometry, which is the calculation of relative quantities of substances in a chemical reaction. Here's how you can approach it:
1. Write down the balanced equation for each reaction:
- A + 2E -> A2E
- A + G -> AG
- E + G -> EG3
2. Convert the given masses of elements A and E to moles using their molar masses.
- Moles of A: 21.29 g / molar mass of A
- Moles of E: 58.37 g / molar mass of E
3. Use the balanced equation for A + E -> A2E to find the moles of E required to react with the given moles of A.
- From the equation, you can see that 1 mole of A reacts with 2 moles of E. Therefore, the moles of E required can be calculated as:
Moles of E required = (moles of A) x 2
4. Now, use the equation A + G -> AG and the given moles of A and G to find the moles of G required.
- From the balanced equation, you can see that 1 mole of A reacts with 1 mole of G. Therefore, the moles of G required can be calculated as:
Moles of G required = (moles of A) x 1
5. Finally, use the equation E + G -> EG3 to find the mass of G required to react with the given mass of E.
- Convert the given mass of E to moles using its molar mass:
Moles of E given = 11.94 g / molar mass of E
- From the balanced equation, you can see that 1 mole of E reacts with 1 mole of G. Therefore, the moles of G required can be calculated as:
Moles of G required = (moles of E given) x 1
- To find the mass of G required, multiply the moles of G required by the molar mass of G.
By following these steps, you should be able to calculate the mass of G required to react with 11.94 g of E.