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Should the answer in molarity is greater than 0?
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If I've understood your question, you can have a molarity of 0 if the compound we're talking about is no longer in the solution. For instance, in a solution containing 1 M HCl and 2 M NaOH, a neutralization reaction will occur in which all of the HCl is used up and half the NaOH is used up. This means that after the reaction is complete, the concentration of HCl will be 0 M and the concentration of NaOH will be 1 M.
What type of problem should I use molarity = liter/mole ?
Molarity is a measure of concentration so it's always expressed in moles/liter.
thanks
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