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H2 is a typographical form (when your word processor can't generate subscripts) of H2 which denotes molecular hydrogen. Molecular hydrogen is a molecule of hydrogen that consists of two hydrogen atoms bonded together by one single bond (also known as a sigma bond). A subscript also denotes how many of a particular atom is in a molecule, thus H2 has two hydrogens. Consider the formula for glucose (a simple sugar found in food and in the human body): C6H12O6. The subscript numbers tell you how many of each atom is in the molecule: six carbons, twelve hydrogens and 6 oxygens.

2H, on the other hand, denotes two moles of elementalhydrogen. It should be noted that elemental hydrogen is not bonded to anything. If you have a mole of anything, whether it is an element, molecule, pencils or shoes, it is to say that you have 6.022x1023 individual, unique elements, molecules, pencils or shoes. For perspective, this number equates to 602,200,000,000,000,000,000,000. The "2" in 2H is the molar coefficient. Molar coefficients are often found in reaction equations. Therefore, since you have two moles of hydrogen (H), 2H is 2x(6.022x1023). If, for instance, you just had "H" with no "2" in front of it, that would mean your molar coefficient is just "1" which is never written and is always understood.

A tie-in lesson: If H2 is found in a reaction equation, it means that there is one mole of molecular hydrogen. So you have 6.022x1023 individual molecules of H2.

In conclusion, H2, which is really H2, denotes molecular hydrogen which consists of two hydrogens, and 2H denotes two moles of elemental hydrogen.

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