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Find the total number of nucleons present in 12g of 12C atoms

Question

Find the total number of nucleons present in 12g of 12C atoms

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Solution

Sure, here is the step by step solution:

  1. First, we need to know that the atomic mass of Carbon (C) is 12 atomic mass units (amu). This means that one atom of Carbon has 12 nucleons (6 protons and 6 neutrons).

  2. The given mass of Carbon is 12g. According to Avogadro's law, one mole of any substance contains Avogadro's number (6.022 x 10^23) of particles (atoms, molecules, ions etc.).

  3. Since the atomic mass of Carbon is 12 amu, one mole of Carbon is 12g. So, 12g of Carbon is equal to one mole of Carbon.

  4. Therefore, 12g of Carbon contains Avogadro's number of Carbon atoms, which is 6.022 x 10^23 atoms.

  5. Since each Carbon atom has 12 nucleons, the total number of nucleons in 12g of Carbon is 12 x 6.022 x 10^23 = 7.2264 x 10^24 nucleons.

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