Question

I'm not sure if this is logic or chemistry problem, but I will post it here now because mathematicians didn't give me an answer :)

Answer 1

There is 2 dl (2 deciliters) of water in blue glass and 2 dl of wine in red glass. If we pour 0.5 dl of water from blue glass into the red glass and then we pour 0.5 dl of mixture from red glass into the blue glass, only one of the following statements is true. Which one?
1. There is more wine in blue glass than water in red glass
2. There is more water in red glass than wine in blue glass
3. There is the same amount of water in red glass and wine in blue glass
4. We can't make a conclusion if we don't know the specific weight of wine.

I think that 4. statement is true.

Answer 2

its either 3 or 4 but i think it 4 too, since the mass of water and wine are different, either one of the them could be more

Answer 3

hmm.... y r u thinking that the amount will be different 'cause their masses r not equal ?
if we take
500 ml of water and 500 ml of oil for instance... they r equal in amount(volume)... the amount of liquids are compared according to the volume .... not according to their masses

Answer 4

@isuru they are from different kind of liquids, suppose it was juice and water u cant ignore the fact about their masses, becoz juice is heavier then water

Answer 5

but wt if the the volume is same ..... !!! and u r "amount" is important if the question goes about finding the amount of moles of wine or water.... this is not a chemistry question... it's logic and u have to solve it... the aim here is to solve the problem and get the fact that there is equal volumes of wine and water in the 2 glasses at the end.............So. the amounts r equal ...

Answer 6

as i said earlier i agree to both 3 and 4 (pls kindly read before u jump to the conclusion) i have two points not only 1 @lsuru

Answer 7

as i said earlier i agree to both 3 and 4 (pls kindly read before u jump to the conclusion) i have two points not only 1 @Isuru

Answer 8

alright..!! :) lol..
but wt about this...
1st instance..
u have 300 ml of water and assume it's 300g and u have 300 ml of oil ans assume it 200g
2nd instance..
u have 300g of water and it's volume is 300ml also.. u have 300g of oil but it's volume is 500ml

Now wt will be the same amount here.. ? :)

Answer 9

heyy... found the last bit of evidence...
the answer is 3...
here... this is an link to the exactly same type question...
It's explanation is little bit long but read the paragraphs which is above the sub topic "Elegant Solution (No. 1)" .if u don;t like reading..

http://www.donaldsauter.com/wine.htm
hope this will help ya!!

Answer 10

use the dilution formula: \(C_1V_1=C_2V_2\)

blue 0.02L of water

red 0.02L of wine (which is mostly water to begin with (see pic))
Assume an arbitrary conc. for ir of 1, regardless.

(1) 0.5 dl (0.005 L) of water from blue glass into the red glass

Red: 0.02L (1 C)= 0.025L(L)= 0.08 C

New volumes: blue 0.015 L; red 0.025 L

(2) 0.5 dl (0.005L) of mixture from red glass into the blue glass

Blue: (0.005L)(0.08 C)=(x C)(0.02 L)

(x C)= 0.2 C

New volumes: blue 0.020 L; red 0.020 L (same)

Concentration of wine solute:
Blue: 0.02 L*0.02 C= 0.0004 ..4/20.. 20% of original wine
Red: 0.02 L*0.08 C= 0.0016 ...16/20..80% of original wine

options:
1. There is more wine in blue glass than water in red glass.. nope

Wine is mostly water to being with, very little wine.

2. There is more water in red glass than wine in blue glass.. \(\sf\large\color{red}{yes}\)

water in red glass: It contains 0.02L in total, of that 80% is wine, wine is 86% water.
0.02L*80%*86%= 0.01376 L water

wine in the blue glass: total volume of 0.02L.
We only took 1/4 of it to dilute the other glass (in step 1), so before we even transferred the diluted wine back (in step 2), we had 0.015L of water, which leaves only 0.005L of wine possible (though this is an upper limit).

water in red>wine in blue
0.01376 L > 0.005L

3. There is the same amount of water in red glass and wine in blue glass.. nope

because both contain the same amount of volume, and we know that the red container has 4 times more wine, we can say that the red container has more ethanol (in volume) thus less water.


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This holds true if the concentration of wine is relatively, low. ~25% (probably more but this is a lower limit). And this makes sense beyond 25% it is no longer considered wine, it is a spirit.