2) 200 mL
3) 0.2 kg
Step-by-step explanation:
2)
In this problem, we know that:
- With 1 liter of juice, we can fill a total of 5 cups
So we know that the total volume of 5 cups is equal to
V = 1 L
This means that the volume of each cup is equal to the total volume divided by the number of cups (5), therefore:
[tex]V_1=\frac{V}{5}=\frac{1L}{5}=0.2 L[/tex]
And keeping in mind the equivalence between liters and milliliters:
1 L = 1000 mL
This means that the capacity of each cup is
[tex]V_1=0.2 L \cdot 1000 mL/L = 200 mL[/tex]
3)
Here we want to find the mass contained in each cup.
We know that the mass of a substance is related to each volume by the equation
[tex]d=\frac{m}{V}[/tex]
where
d is the density
m is the mass
V is the volume
In this problem, we have:
V = 0.2 L is the volume of juice in each cup
[tex]d=1kg/L[/tex] is the density of juice (assuming it is the same as the density of water)
So, the mass of juice in one cup is:
[tex]m=dV=(1)(0.2)=0.2 kg[/tex]
