The numerical value of 6.022 x 1023 comes up a lot in chemistry. (a) How many years would it take you to count out 6.022 x 1023 pencils? Assume that you can count 10 pencils every 3 seconds and that you could physically have access to this large number of pencils. (b) Could you count to 6.022 x 1023 in your lifetime? Explain. Show all of your work for part (a) using dimensional analysis. Take a picture of your work and the answer to (b). Upload the picture to this assignment for evaluation.