In an integrated circuit, the current density in a 2.6μmthick × 74μmwide gold film is 8.0×105A/m2 .
Here is what I got.
(8.5010^5)(2.610^67410^6)= 1.6354*10^4 μm.
Now I am asked to find how much charge flows through the film in 15 minutes? How do I do that from here and am I doing this right. Appreciate the help
2 Answers

Your number is right, but you blew the units. It is actually µA.
Since 1 amp = 6.24E18 electrons/sec, the charge passing in 15 min (900 sec) is:
N = 6.24E181.6354E4900 = 9.184E17 electrons
or
0.147 Coulomb

Between the question and your answer, the current density has changed from (8.0 10^5 A/m²) to (8.50 10^5 A/m²). Which is it?
The units in your answer are wrong:
(A/m²) * (m²) = A {Not μm}
So your calculation gives you the current flow.
The other thing that you need to know is that:
Charge {in coulombs} = Current {in amps} * Time {in seconds}
15 minutes = (15 * 60) = 900 seconds
So you just need to multiply the current that you calculate by 900 to get the charge flow in 15 minutes.