Question #e0977

↳Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
2 Answers
Jake A.
Feb 11, 2018

#3.9 * 10^24# atoms Fe

Explanation:

#6.5 mol (Fe) * 6.022*10^23# atoms/mol #= 3.9 * 10^24# atoms

It's important to mention that 6.5 moles of anything is going to be #3.9*10^24# It could be carbon atoms, helium, etc... If I had 6.5 moles of tennis balls I would have #3.9*10^24# tennis balls, though that volume would likely fill all of Europe.

LucaGasparro
Feb 11, 2018

See below...

Explanation:

In 1 Mole there are always #6.02 * 10^23# atoms.

#therefore# in #6.5# moles:

#6.5 * 6.02 * 10^23 = 39.13 * 10^23#

For scientific notation, the number has to be between #1# and #10#. Therefore we must pull the decimal point back, hence adding another power of #10# on.

Final answer #= 3.913 * 10^24# atoms

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