Question

If you have 10.0 grams of citric acid with enough baking soda (nahco3 how many moles of carbon dioxide can you produce?

Answer 1

Answer : The number of moles of carbon dioxide is, 0.156 mole

Explanation : Given,

Mass of citric acid = 10 g

Molar mass of citric acid = 192 g/mole

The balanced chemical reaction will be,

`C_6H_8O_7+3NaHCO_3\rightarrow Na_3C_6H_5O_7+3CO_2+3H_2O`

From the balanced chemical reaction, we conclude that 1 mole of
`C_6H_8O_7` react with 3 moles of
`NaHCO_3` to give 1 mole of
`Na_3C_6H_5O_7`, 3 moles of carbon dioxide gas and 3 moles of water as a product.

First we have to calculate the moles of citric acid.

`\text{Moles of citric acid}=\frac{\text{Mass of citric acid}}{\text{Molar mass of citric acid}}=(10g)/(192g/mole)=0.052mole`

Now we have to calculate the moles of carbon dioxide.

As, 1 mole of citric acid react to gives 3 moles of carbon dioxide

So, 0.052 mole of citric react to gives
`(3)/(1)* 0.052=0.156` moles of carbon dioxide

Therefore, the number of moles of carbon dioxide is, 0.156 mole

Answer 2

Easy stoichiometry conversion :)

So, for stoichiometry, we always start with our "given". In this case, it would be the 10.0 grams of NaHCO3. This unit always goes over 1.

So, our first step would look like this:

10.0
------
1

Next, we need to cancel out grams to get to moles. To do this, we will do grams of citric acid on the BOTTOM of the next step, so it cancels out. This unit in grams will be the mass of NaHCO3, which is 84.007. Then, we will do our unit of moles on top. Since this is unknown, it will be 1.

So, our 2nd step would look like this:

1 mole CO2
-----------------
84.007g NaHCO3

When we put it together: our complete stoichiometry problem would look like this:

10.0g NaHCO3 1mol CO2
---------------------- x -------------------------
1 84.007g NaHCO3

Now to find our answer, all we need to do is:
Multiply the two top numbers together (which is 10.0)
Multiply the two bottom numbers together (Which is 84.007)

And then....

Divide the top answer by the bottom answer.

10.0/84.007 is 0.119

So, from 10.0 grams of citric acid, we have 0.119 moles of CO2.

Hope I could help!