Chemistry, 20.02.2020 01:08 mistycascaden

Trent needs to produce 2000 milliliters of 45% alcohol solution. At his disposal he has 60% alcohol solution and 40% alcohol solution. How much of each does he need in order to produce his desired solution?

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Therefore Trent needs 1500 millilitre of 40% alcohol solution and 500 millilitre of 60% alcohol solution in order to produce 2000 millilitre of 45% alcohol solution.

Explanation:

Given, Trent needs to produce 2000 millilitres of 45% alcohol solution.

Let he need x millilitre of alcohol of 40% alcohol solution.

Since total amount of alcohol is 2000 millilitres.

Then he takes (2000-x) millilitre of alcohol of 60% alcohol solution.

40 % alcohol solution means 40 units of alcohol present in 100 unit solution.

Implies that,

100 millilitre solution contains 40 millilitre alcohol.

1 millilitre solution contains $\frac{40}{100}$ millilitre alcohol.

x millilitre solution contains $\frac{40\times x}{100}$ millilitre alcohol.

$=\frac{40 x}{100}$ millilitre alcohol.

Similarly for 60% alcohol solution,

100 millilitre solution contains 60 millilitre alcohol.

1 millilitre solution contains $\frac{60}{100}$ millilitre alcohol.

x millilitre solution contains $\frac{60\times(2000- x)}{100}$ millilitre alcohol.

$=\frac{60(2000-x)}{100}$ millilitre alcohol.

Again for 45% alcohol solution,

100 millilitre solution contains 45 millilitre alcohol.

1 millilitre solution contains $\frac{45}{100}$ millilitre alcohol.

x millilitre solution contains $\frac{45\times2000}{100}$ millilitre alcohol.

=900 millilitre alcohol.

According to the problem,

$\frac{40x}{100} +\frac{60(2000-x)}{100} =900$

⇒40x+120000-60x=900×100

⇒-20x=90000-120000

⇒20x = 30000

$\Rightarrow x=\frac{30000}{20}$

⇒x=1500

Therefore Trent needs 1500 millilitre of 40% alcohol solution and (2000-1500)millilitre =500 millilitre of 60% alcohol solution in order to produce 2000 millilitre of 45% alcohol solution.

Answer from: Quest

explanation: it gains negative electrons, therefore becoming negatively charged. as charge cannot be created, nor destroyed, only transferred, this leaves the wool positive. now that they have opposite charges, the two items attract.

Answer from: Quest

The correct answer is "hydrogen".

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Trent needs to produce 2000 milliliters of 45% alcohol solution. At his disposal he has 60% alcohol...

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