This is a limiting reagent type problem. All of them can be worked in the following way.
1. Write and balance the equation. You have that.
2a. Convert 28.6 g NH3 to moles. Moles = grams/molar mass.
2b. Convert 25.1 g CH4 to moles.
3a. Using the coefficients in the balanced equation, convert moles NH3 to moles HCN.
3b. Using the coefficients in the balanced equation, convert moles CH4 to moles HCN.
3c. Obviously, one of the answers (either 3a or 3b) must be wrong. The smaller one is ALWAYS the correct value to use and the reagent that produced that value is the limiting reagent.
4. Using the smaller value from 3c, convert moles of HCN to grams. grams = moles x molar mass.
Post your work if you get stuck.
I don't understand 3a and 3b. I don't understand how you do that
OK. For 2a and 2b, we have the following but I have just used round numbers for the molar masses. You may want to redo them with more exact values.
28.6/17 = 1.68 moles NH3.
25.1/16 = 1.57 moles CH4.
I have led you astray a little. The NH3 must be converted to NO first. So we want to convert 1.68 moles NH3 to moles NO. Same directions.
moles NO = 1.68 moles NH3 x (4 moles NO/4 moles NH3) = 1.68 x (4/4) = 1.68 x 1/1 = 1.68 moles NO.[Note that the unit moles NH3 cancel and converts moles NH3 to moles NO. Now we convert moles NO to moles HCN.
moles HCN = 1.68 moles NO x (2 moles HCN/2 moles NO) = 1.68 x (2/2) = 1.68 x 1/1 = 1.68 moles HCN.
3b. Convert moles CH4 to moles HCN.
moles HCN = 1.57 moles CH4 x (2 moles HCN/2 moles CH4) = 1.57 x (2/2) = 1.57 x (1/1) = 1.57 moles HCN.
3c. The smaller number rules so CH4 is the limiting reagent and 1.57 moles HCN will be produced.
4. Now we convert 1.57 moles HCN to grams.
1.57 moles HCN x molar mass HCN = grams HCN.
Sorry about the mixup. I hope this is clear. If not, I think it would be better to start a new post at the top of the page, recopy the problem and post additional questions.
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