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QUESTION

How many sig figs for this question: now determine the grams per litre (g/L) concentration of acetic acid in the undiluted vinegar (assume the molar mass of acetic acid is 60.0 g/mol)? I don't want the answer I'm asking for how many sig figs ?

If you only go by 60.0 g, the answer will need 3 .

When you're dealing with a decimal number, try to remember that

  • Non-zero digits and zeros that come after them before the decimal are significant;

In your case, you have 6 and 0 before the decimal, so that's two sig figs right off the bat. By comparison, 060.0 would still have 2 sig figs before the decimal, because the first zero does not count.

  • If you have non-zero digits before the decimal, all digits after the decimal are significant;

You only have 1 digit after the decimal, a zero, but because you had a 6 before the decimal, it counts as a sig fig as well.

  • If you only have zeros before the decimal, only non-zero digits and zeros that come after them are considered significant after the decimal.

For example, 0.02 only has 1 sig fig, because you only have zeros before the decimal, so only the 2 after the decimal counts.

At the same time, 0.020 has 2 sig figs, because you have a non-zero digit followed by a zero digit in the decimal portion.

As a conclusion, your answer must have 3 because 60.0 has 3 sig figs.

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