Maple syrup is made from the sap of a maple tree. Whe the sap is tapped from the tree it is 4.0% by mass sucrose. Maple syrup is 66% by mass sucrose. What mass of sap would be needed for make 1 kg of syrup

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Maple syrup is made from the sap of a maple tree. Whe the sap is tapped from the tree it is 4.0% by mass sucrose. Maple syrup is 66% by mass sucrose. What mass of sap would be needed for make 1 kg of syrup?

 

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Here we are required to find the mass of sap that would be needed for making 1kg of syrup

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Here mass of maple syrup =1 kg

% of sucrose in the syrup= 66%

We define w/w% as the mass of solute present in 100 gm of solution 

So 

w/w% =mass of solute ×100mass of solutionw/w of sucrose% =mass of sucrose ×100mass of maple syrup66= mass of sucrose ×1001kgmass of sucrose =66 ×1kg100=0.66kg so in 1kg of maple syrup 0.66 kg of sucrose is presentgiven in maple sap 4% sucrose present we need to find the mass of sap which contain 0.66 kg of sucrosew/w of sucrose% =mass of sucrose ×100mass of maple sap4=0.66kg ×100mass of maple sapmass of maple sap =0.66kg ×1004=16.5 kg

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