Question #43514

how many grams of amonia will have the same number of molecules as 15g of benzene?

Expert's answer

Answer on Question #43514 - Chemistry - Inorganic Chemistry

Question:

How many grams of ammonia will have the same number of molecules as 15g of benzene?

Solution:

1) Find molar mass of benzene (C6H6)(C_6H_6):


M(C6H6)=6M(C)+6M(H)=612.0 gmol+61.0 gmol=78.0 gmolM(C_6H_6) = 6 \cdot M(C) + 6 \cdot M(H) = 6 \cdot 12.0 \ \frac{g}{mol} + 6 \cdot 1.0 \ \frac{g}{mol} = 78.0 \ \frac{g}{mol}


2) Find molar mass of ammonia (NH3)(NH_3):


M(NH3)=1M(N)+3M(H)=114.0 gmol+31.0 gmol=17.0 gmolM(NH_3) = 1 \cdot M(N) + 3 \cdot M(H) = 1 \cdot 14.0 \ \frac{g}{mol} + 3 \cdot 1.0 \ \frac{g}{mol} = 17.0 \ \frac{g}{mol}


3) Find amount of substance in 15 g15\ \mathrm{g} of benzene:


n(C6H6)=m(C6H6)M(C6H6)=15 g78.0 gmol=0.192 moln(C_6H_6) = \frac{m(C_6H_6)}{M(C_6H_6)} = \frac{15\ g}{78.0\ \frac{g}{mol}} = 0.192\ mol


4) Amount of substance of ammonia is equal to the value for benzene:


n(C6H6)=n(NH3)=0.192 moln(C_6H_6) = n(NH_3) = 0.192\ mol


5) Find mass of ammonia:


m(C6H6)=n(NH3)M(NH3)=0.192 mol17.0 gmol=3.26 gm(C_6H_6) = n(NH_3) \cdot M(NH_3) = 0.192\ mol \cdot 17.0 \ \frac{g}{mol} = 3.26\ g


Answer: 3.26 g3.26\ g

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