if a sample of permethrin, C_21_H_20_CL_2_O_3, contains 0.480g of carbon then the mass of chlorine in the sample is...
i can do this question fine except one thing. When finding the mols of carbon, shouldnt it be 0.480/(21x12) , for the molar mass, rather than 0.480/12. The answer has the latter but why? theres 21 carbon atoms in in mol of permethrin.
I think a small error you may be making is thinking in a mol of permethrin there are 21 carbon atoms. In a mol of permethrin, there are actually 21 moles of carbon atoms, and 2 moles of Cl atoms (which will be useful soon). In this question we don't know the moles of permethrin, but we are able to calculate the moles of C, the mole ratio of C to Cl, and thus the mass of Cl.
So, step 1 would be discovering how many moles there are in total of C, which is of course done through our favourite n=m/M, or n=0.480/12.0. So there are 0.0400 moles of C in the sample of permethrin.
Next, you would use the mole ratio of n(Cl)/n(C) in permethrin. In one mole of permethrin, there are 21 moles of C and 2 moles of Cl. Thus, the mole ratio of Cl to C is 2/21, or n(Cl)/n(C)=2/21
With some rearrangement, this equation becomes n(Cl)=n(C) x (2/21). As we know n(C), we can then discover n(Cl)=0.0400 x (2/21) = 0.00381.
Then, of course, m=n(Cl) x M=0.135 g.
Hope this makes sense and helps (and is right... I'm not entirely certain that I haven't forgotten the whole chem course over 2 months)