Picnic Insulated
January 31st, 2011
Physics- temperature problem. help?
Suppose you mix 10.0 L of water at 1.3 101°C with 5.0 L of water at 40°C; the water is insulated so that no energy can flow into it or out of it. (You can achieve this, approximately, by mixing the two fluids in a foam cooler of the kind used to keep drinks cool for picnics.) The 15 L of water will come to some final temperature. What is this final temperature?
Yeah, It is ” 10 L of water at 1.3 X 10 ^1 ° “. My mistake.
This is usually a very simple problem – but I cannot interpret what the temperature of the 10.0 litres of water is – “10.0 L of water at 1.3 101°C ” I do not understand this. Please clarify.
OK so now we know that the 10L of water has temperature = 13°C
Because we are dealing with only 1 substance, water, the specific heat does not matter
Let the final temperature be X°C
The change in tempertaure of the 10 litres of water is (X-13)
The change in temperature of the 5 litres water = (40-X)
10*(X-13) = 5*(40-X)
10X – 130 = 200- 5X
15X = 330
X = 22°C which is the final temperature
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