If 500gm of dextrose are dissolved in 600ml of water, with the final volume being 1000ml, what is the percentage strength of the dextrose in the solution?
45.5%
Well, well, well, looks like we got ourselves a chemistry question here! You want to know the percentage strength of dextrose in the solution, huh? Alright, let's get mixing!
So, you've got 500g of dextrose, eh? And you've dissolved it in 600ml of water, making the final volume 1000ml. Time to do some math, my friend!
First, we need to find out the total weight of the solution. We've got 500g of dextrose and 600ml of water. Now, you know water doesn't weigh anything, right? So we can just focus on the dextrose.
Adding 500g of dextrose to the mix, our total weight comes out to be 500g.
Now it's time to figure out the percentage strength. We take the weight of the dextrose (500g) and divide it by the total weight of the solution (500g) and multiply it by 100.
So, (500g/500g) x 100 gives us a grand result of 100%.
Voila! The percentage strength of the dextrose in the solution is 100%. We've got ourselves a sweet solution right there!
To find the percentage strength of the dextrose in the solution, we need to calculate the mass of the dextrose and compare it to the total mass of the solution.
1. First, we need to find the total mass of the solution.
- The mass of water is equal to its volume times its density, which is approximately 1 gram per milliliter (g/mL).
- Therefore, the mass of water is 600 mL × 1 g/mL = 600 grams (g).
2. Next, we need to find the mass of dextrose.
- The mass of dextrose is given as 500 grams (g).
3. Now, we can calculate the total mass of the solution.
- The total mass of the solution is the sum of the mass of water and the mass of dextrose.
- Total mass = 600 g (mass of water) + 500 g (mass of dextrose) = 1100 g.
4. Finally, we can calculate the percentage strength of the dextrose in the solution.
- Percentage strength = (mass of dextrose ÷ total mass of solution) × 100
- Percentage strength = (500 g ÷ 1100 g) × 100 ≈ 45.45%
Therefore, the percentage strength of the dextrose in the solution is approximately 45.45%.
To find the percentage strength of the dextrose in the solution, we need to calculate the amount of dextrose in relation to the total volume of the solution.
Step 1: Calculate the amount of dextrose in grams.
Given that 500g of dextrose (C6H12O6) is dissolved in 600ml of water, this means that the resulting solution has a total weight of 500g. Therefore, the amount of dextrose present in the solution is 500g.
Step 2: Calculate the total volume of the solution.
The final volume of the solution is given as 1000ml.
Step 3: Calculate the percentage strength of the dextrose.
The percentage strength can be calculated using the formula:
Percentage Strength = (Amount of Dextrose / Total Volume of Solution) × 100
In this case, the amount of dextrose is 500g, and the total volume of the solution is 1000ml.
Percentage Strength = (500g / 1000ml) × 100
Simplifying this equation, we divide 500g by 1000ml, which gives us 0.5. Multiplying by 100 gives us the percentage:
Percentage Strength = 0.5 × 100 = 50%
Therefore, the percentage strength of dextrose in the solution is 50%.