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The newer the penny, the less it weighs. (2.5g)

the older and darker the penny is the more it weighs (3.0g)

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The water became somewhat cloudy

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why would older pennies be more heavier than newer pennies?

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is there a formula we need?

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By the year 2000 the pennies become lighter and shinier. As for the pennies below 2000 they are darker and heavier

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Some pennies are covered in grime and some aren't.

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copper is brown

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95%copper 5% tin and zinc

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I'm certain that the pennies are made of copper since most copper metals are brownish color.

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The older pennies are 0.5-0.7 grams heavier than the newer pennies.
1 % Copper   99% Zinc

The newer pennies oxide quicker than the older pennies
The newer pennies oxides quicker because their more zinc than the older pennies