Final answer:
To find the new concentration of a 3% glucose solution diluted from 50ml to 300ml, we calculate the amount of solute, which is 3% of 50ml (1.5ml), and then divide by the new volume, 300ml. This gives us a new concentration of 0.5% for the diluted glucose solution.
Step-by-step explanation:
The question asks about calculating the new concentration of a solution after it has been diluted. The original solution is a 3% glucose solution with a volume of 50ml, which is then diluted to a total volume of 300ml. To find the new concentration, we can use the concept of conservation of mass, which entails that the amount of solute remains constant even when the solution's volume is increased.
Initially, we calculate the amount of solute (glucose) in the original solution, which is 3% of 50ml. This is (0.03 * 50ml) = 1.5ml. After dilution, the total volume of the solution becomes 300ml, but the amount of glucose remains at 1.5ml. Therefore, the new concentration is the amount of solute (1.5ml) divided by the new total volume (300ml), giving us a concentration of (1.5ml / 300ml) * 100% = 0.5%.
In summary, a 50ml 3% glucose solution diluted to 300ml results in a 0.5% glucose solution.