The balloon will burst if the volume of the balloon is less than 1.68 L since 8 g of sodium bicarbonate produces 1.68 L of carbon dioxide gas.
The volume of carbon dioxide produced is obtained from the equation below:
[tex]CH_3COOH + NaCO_3 \rightarrow CH_3COONa + H_2O + CO_2 \\ [/tex]
1 mole of sodium bicarbonate reacts with one mole of acetic acid in vinegar to produce 1 mole of carbon dioxide.
The volume of 1 mole of carbon dioxide is 22.4 L
Moles of sodium bicarbonate in 8 g = mass/molar mass
molar mass of sodium bicarbonate = 106 g
moles of sodium bicarbonate = 8/106 = 0.075 moles
Moles of carbon dioxide produced = 0.075 moles
Volume of carbon dioxide = 0.075 × 22.4 = 1.68 L
Therefore, the balloon will burst if the volume of the balloon is less than 1.68 L.
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