ABDURRAHMAN A

16 Agustus 2025 10:01

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ABDURRAHMAN A

16 Agustus 2025 10:01

Pertanyaan

The concentration of an 80 ml saline solution is 15 %. How much salt must be added to increase the concentration to 32 %?

The concentration of an 80 ml saline solution is 15 %. How much salt must be added to increase the concentration to 32 %? 

 

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ThatAxolotlGD T

16 Agustus 2025 10:17

<p>To solve this, we’ll use a classic concentration formula based on the amount of solute (salt) and total solution volume.</p><p>🧮 Step-by-step Breakdown</p><p>Let’s define:</p><p>Initial volume of solution: V1=80 ml</p><p>Initial concentration: C1=15%</p><p>Final concentration: C2=32%</p><p>Let x be the amount of <strong>salt added</strong> (in ml or grams—assuming density is consistent)</p><p>We assume the salt is added <strong>without changing the volume of the solution significantly</strong>, so the new volume becomes 80+x ml.</p><p>1️⃣ Find initial amount of salt:</p><p>Initial&nbsp;salt=15%×80=0.15×80=12&nbsp;ml</p><p>2️⃣ Set up the equation for final concentration:</p><p>12+x80+x=0.32</p><p>3️⃣ Solve the equation:</p><p>Multiply both sides by 80+x:</p><p>12+x=0.32(80+x)</p><p>Distribute:</p><p>12+x=25.6+0.32x</p><p>Bring like terms together:</p><p>x−0.32x=25.6−12</p><p>0.68x=13.6</p><p>Divide:</p><p>x=13.6/0.68=20</p><p>✅ Final Answer:</p><p>You must add <strong>20 ml (or grams)</strong> of salt to increase the concentration to <strong>32%</strong>.</p>

To solve this, we’ll use a classic concentration formula based on the amount of solute (salt) and total solution volume.

🧮 Step-by-step Breakdown

Let’s define:

Initial volume of solution: V1=80 ml

Initial concentration: C1=15%

Final concentration: C2=32%

Let x be the amount of salt added (in ml or grams—assuming density is consistent)

We assume the salt is added without changing the volume of the solution significantly, so the new volume becomes 80+x ml.

1️⃣ Find initial amount of salt:

Initial salt=15%×80=0.15×80=12 ml

2️⃣ Set up the equation for final concentration:

12+x80+x=0.32

3️⃣ Solve the equation:

Multiply both sides by 80+x:

12+x=0.32(80+x)

Distribute:

12+x=25.6+0.32x

Bring like terms together:

x−0.32x=25.6−12

0.68x=13.6

Divide:

x=13.6/0.68=20

✅ Final Answer:

You must add 20 ml (or grams) of salt to increase the concentration to 32%.


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Lusi A

18 Agustus 2025 08:47

<p>13,6 ml</p><p>&nbsp;</p>

13,6 ml

 


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