Question

anika mixes 10 grams of sugar with 90 grams of water in a closed container. after the sugar dissolves, what does the law of conservation of mass say about the total mass in the container?
the mass of the reactants equals the mass of the products
the mass of all reactants are changed during a physical or chemical change
the mass of the products is different than the mass of the reactants.
the amount of matter changes when reacted or changed.

Explanation:

Step1: Recall the law of conservation of mass

The law of conservation of mass states that mass is neither created nor destroyed in a chemical reaction or physical change. In a closed system (like the container here), the total mass of the reactants (sugar + water) will equal the total mass of the products (sugar - water solution).

Step2: Calculate the total mass of reactants

Given the mass of sugar \(m_{sugar}=10\space g\) and the mass of water \(m_{water} = 90\space g\). The total mass of reactants \(m_{reactants}=m_{sugar}+m_{water}\).

$$m_{reactants}=10 + 90=100\space g$$

Since it is a closed container (a closed - system) and dissolution is a physical change, by the law of conservation of mass, the mass of the solution (products) will be equal to the mass of the reactants.

Answer:

The total mass in the container is \(100\space g\) because according to the law of conservation of mass, in a closed system, the mass of the reactants (sugar + water) equals the mass of the products (sugar - water solution). So \(10\space g+90\space g = 100\space g\)