The professor gave us no background material or explanations for any of these questions.

1. A contemporary computer chip dissipates 54 watts of power on a area of 1 square cm. due to the transistors inside this area. Assuming that transistors in succeding computer generations require constant power independent of their size, estimate the power that will be burnt in a 1 cm square computer chip 3 years from now. Here we are going to assume “Moore's law”. This law claims that the transistor count (# transistors per unit area) doubles every 1.5 years.

A. 700 Watts
B. 108 Watts
C. 10 Kilowatts
D. 216 Watts

I put D

2. Due to continuous use a mascot’s sword has lost its luster. A sculptor decides to propose a replacement. She builds a small scale model and discovers she needs 200 grams of bronze. Her final sword will be 6 times as big as her model in all dimensions. How much bronze will she need for the final product?

A. 11 kgs
B. 22 kgs
C. 43.2 kgs
D. 6 kgs

I feel like I don't have enough information to answer this problem.

3. When the student is finished with her small scale model in the above problem, she finds that she can give it two coats of paint using exactly one small can. How many cans does she need for the full scale model for the same number of coats?

A. 72 cans
B. 36 cans
C. 216 cans
D. 6 cans

Again I feel like there isn't enough information to answer this.

4. Eighteen grams of water is known to contain 6.02 x 1024 molecules of H20.
What is the mass in kilograms of one molecule of H20?

A. 2.99 x 10-24 kg
B. 54 x 10-27 kg
C. 6.02 x 10-24 kg
D. 2.99 x 10-27 kg

My answer matches none of these options.

Thanks a lot!

3 answers

I kept working on these and now I have C for 2 and B for 3 but I'm still unsure.
Also, I came out with D for 4 but again I'm not sure.
1 correct
2. the enlargement factor will be six cubed.

3. Surface area increases by a factor of six squared. Think on that.

4..018/(6.02E24) matches a number. In reality, Alvarado's number is listed erroneously, most accept it as 6.02E23