If the two parts of mixture have a 1:1 ratio by mass what's the largest amt each component could be?
To find the largest amount each component could be in a mixture with a 1:1 ratio by mass, we need to determine what percentage of the total mass each component can represent.
Let's assume we have two components: Component A and Component B. Since we have a 1:1 ratio, both components will have the same proportion in the mixture.
To find the percentage of each component, we'll divide the mass of each component by the total mass of the mixture and multiply by 100.
Let's denote the mass of Component A as "mA" and the mass of Component B as "mB". The total mass of the mixture will be given by mA + mB.
Since we want the largest amount each component could be, we need to find the maximum value for mA and mB.
In a 1:1 ratio, the masses of Component A and Component B will be equal. So, we can assume that mA = mB = x, where x is the value we need to find.
We can set up an equation based on the percentage calculation:
(mA / (mA + mB)) * 100 = (mB / (mA + mB)) * 100
Substituting mA = mB = x:
(x / (x + x)) * 100 = (x / (x + x)) * 100
Simplifying the equation, we get:
(x / (2x)) * 100 = (x / (2x)) * 100
1/2 * 100 = 1/2 * 100
50 = 50
From this equation, we can see that at a 1:1 ratio by mass, each component can represent up to 50% of the total mass of the mixture. This means that the largest amount each component could be is 50% of the total mass.
In summary, if the two parts of a mixture have a 1:1 ratio by mass, each component can make up to 50% of the total mass.