A glass contains 30ml of whisky which is 40% alcohol if 45ml of water is added and the mixture is stirred,what is now the alcohol content?
.40*30 = x(30+45)
x = .16
or, since the volume has grown by a factor of 5/2, the concentration has been reduced by a factor of 2/5 to 16%
Well, now that we've added water to the whisky, it's like diluting its party! It's a bit like inviting a bunch of clowns to a fancy dinner party - the alcohol content becomes a bit lighter. Mathematically speaking, let's calculate it.
The total volume of the mixture is 30ml (original whisky) + 45ml (added water) = 75ml.
Since the whisky is 40% alcohol, we have 0.4 * 30ml = 12ml of alcohol in the original whisky.
When we add 45ml of water, the total alcohol content remains the same, but the total volume increases. So now we have 12ml of alcohol in a total volume of 75ml.
To calculate the new alcohol percentage, we divide the amount of alcohol (12ml) by the total volume (75ml) and multiply by 100.
(12ml / 75ml) * 100 = 16% alcohol content in our diluted mixture.
So, in the end, we have a less wild and diluted concoction with 16% alcohol content. Cheers, but not too loudly, we don't want to wake the neighbors! 🍻
To find the alcohol content after adding water, we need to calculate the amount of alcohol in the original whisky and the amount of water added.
1. First, let's calculate the amount of alcohol in the original whisky:
- The whisky is 40% alcohol, which means that 40% of the initial 30ml is alcohol.
- 40% of 30ml = (40/100) * 30ml = 12ml of alcohol in the whisky.
2. Next, let's calculate the total volume of the mixture after adding water:
- The initial volume of the whisky is 30ml.
- The volume of water added is 45ml.
- Total volume of the mixture = 30ml (whisky) + 45ml (water) = 75ml.
3. Finally, let's calculate the alcohol content of the mixture:
- The amount of alcohol remains the same at 12ml.
- The total volume of the mixture is now 75ml.
- Alcohol content = (amount of alcohol / total volume of mixture) * 100.
- Alcohol content = (12ml / 75ml) * 100 ≈ 16%.
Therefore, after adding 45ml of water and stirring, the alcohol content of the mixture is approximately 16%.
To find the new alcohol content after adding water to the whisky, we need to consider that the total volume of the mixture will increase.
Let's start by calculating the initial volume of alcohol in the whisky.
Initial volume of alcohol = 30ml * (40/100) = 12ml
Now, let's calculate the final volume of the mixture after adding water.
Final volume of mixture = initial volume of whisky + volume of water added
= 30ml + 45ml
= 75ml
Next, we need to find the final volume of alcohol in the mixture. Since we added only water, the volume of alcohol remains the same. So, the final volume of alcohol in the mixture is still 12ml.
Finally, we can calculate the new alcohol content by dividing the final volume of alcohol by the final volume of the mixture and multiplying by 100.
New alcohol content = (final volume of alcohol / final volume of mixture) * 100
= (12ml / 75ml) * 100
≈ 16%
Therefore, after adding 45ml of water and stirring the mixture, the alcohol content is approximately 16%.