Calculate the molar mass of a compound if 0.472 mole of it has a mass of 178 g.
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The molar mass of a substance is defined as the mass of the substance divided by the amount of a substance. The units for molar mass are technically kg/mole but are most commonly expressed as g/mole (read as "grams per mole") to give easier numbers to work with. It is very closely...
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Divide 178g by .472 to get 377.11g
178g / .472 = 377.11g
Use dimensional analysis:
`178 "g" = (1"mol")/(?"g") = 0.472"mol"`
This can be simplified to:
`(178"g")/(?"g") = 0.472"mol"`
Solve for the unknown by cross multiplying.
`?"g" = 377"g"`
The compound would have a molar mass of 377 grams. Because all the values given in the problem has three sig figs, your answer should also be in three sig figs.
178g / .472 = 377.11 but if you had to do it based on the sig fig it would be 377g per 1 mole
Molar mass is how much the compound would weigh if we had one mole of it. (Think, how many grams per mole?)
To figure this out we take 178g and divide it by the number of moles:
`(178g)/(.472mol) = (377g)/(mol)`
Answer `(377g)/(mol)` ` `
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