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2002 - Multiple Choice - Q12 - HSN forum

# 2002 - Multiple Choice - Q12

### #1someone11

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Posted 24 May 2006 - 09:41 PM

It is known that protons and neutrons are made up of smaller particles called quarks.

Each proton and each neutron contain 3 quarks,

What is the approximate number of quarks in 1g of carbon-12?

a. 6x10^23
b. 9x10^23
c. 1.8x10^24
d. 2.16x10^25

i dont understand how its any of these? if 12g of carbon is 6x10^23, how can 1g be any of those? even if it does contain 3 quarks.

i think it should be

12g -------> 6x10^23
1g---------> 6x10^23 / 12
no. of quarks 6x10^23 x 3/12

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Posted 24 May 2006 - 10:08 PM

A carbon atom has 6 protons (atomic number = 6) and 6 neutrons (subtract atomic number from mass number (12) to get 6).

1 mole of Carbon is 12g, and contains 6x1023 Carbon atoms.

In each proton there are 3 quarks, and in each neutron there are 3 quarks, and therefore, in each atom there are (6x3) + (6x3) = 36 quarks.

So in 12g of Carbon, there are 6x1023 x 36 = 2.16x1025 quarks.

Therefore in 1g of Carbon, there are 2.16x1025/12 = 1.8x1024 quarks.

=> C

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