Question

sugar (solute) water (solvent) sugar + water (mixture) which of the following is true of this? the mass of the sugar and water is the same as the mass of the sugar solution the mass of the sugar and water is greater than the mass of the sugar solution. the mass of the sugar solution is greater than the mass of the sugar and water the mass of the sugar and water is less than the sugar solution

Explanation:

Step1: Law of conservation of mass

According to the law of conservation of mass, in a chemical or physical process (here, dissolving sugar in water is a physical process), the total mass of the reactants (sugar + water) is equal to the total mass of the products (sugar solution). Mathematically, if \(m_{sugar}\) is the mass of sugar and \(m_{water}\) is the mass of water, and \(m_{solution}\) is the mass of the sugar - water solution, then \(m_{sugar}+m_{water}=m_{solution}\).

Step2: Analyze each option

• Option 1: Since \(m_{sugar}+m_{water}=m_{solution}\), this option is correct.
• Option 2: \(m_{sugar}+m_{water}=m_{solution}\), so \(m_{sugar}+m_{water}\) is not greater than \(m_{solution}\). This option is wrong.
• Option 3: \(m_{sugar}+m_{water}=m_{solution}\), so \(m_{solution}\) is not greater than \(m_{sugar}+m_{water}\). This option is wrong.
• Option 4: \(m_{sugar}+m_{water}=m_{solution}\), so \(m_{sugar}+m_{water}\) is not less than \(m_{solution}\). This option is wrong.

Answer:

The mass of the sugar and water is the same as the mass of the sugar solution.