Optimizing Water Temperature and Density for Mixing

In summary, the question being asked is how much water at 25 degrees Celsius should be mixed with water at 75 degrees Celsius in order to achieve a final temperature of 60 degrees Celsius. The equation Q = mcΔt can be used to solve this problem, treating it as a mixture problem. The final equation is 25x + 75y = 60(x+y) where x represents the amount of 25 degree water and y represents the amount of 75 degree water. The goal is to find the value of x.
  • #1
jazzchan
27
0
Dear all

Here is a question i need to help

Can I know how much water at 25^C to put into a water at 75^C and then the mixture is 60^C ??

thanks and best regards

Jazz
 
Physics news on Phys.org
  • #2
Use
[tex]Q = mc\Delta t[/tex]
Viet Dao,
 
  • #3
is it mean the Q of temperature from 75 to 60^c is equal to the Q of 25 to 60^C ??

thank
 
  • #4
Since we are dealing with water of a constant heat capacity, it's not the complicated. You can treat it as a "mixture" problem. If you have x cm 3 of 25 degree water, the heat is proportional to 25x. If you have y cm3 of 75 degree water, the heat is proportional to 75y. Mixing those together you have x+ y cm3 of water that you want to be 60 degrees so the mixture's hear is proportional to 60(x+y). You want 25x+ 75y= 60(x+y). Of course, that's one equation in two unknowns because you didn't say how much of the 25 degree water you had or how much water you wanted to end up with.
 
  • #5
yes...my question is to find how much 25 degree water should be used...

would u tell me more ??

thanks...
 

What is the relationship between water density and temperature?

The density of water decreases as temperature increases. This means that warm water is less dense than cold water.

Why does water expand when it freezes?

Water molecules are arranged in a specific way when they are in liquid form, allowing them to move freely and closely together. However, when water freezes, the molecules form a crystalline structure that takes up more space, causing the expansion of water.

How does temperature affect the density of water?

The density of water decreases as temperature increases. This is because as water molecules gain energy, they move faster and farther apart, resulting in a decrease in density.

What is the density of water at different temperatures?

At 4 degrees Celsius, water has its highest density of 1 gram per cubic centimeter. As temperature decreases or increases from this point, the density of water decreases.

Why is the density of water important in Earth's oceans and lakes?

The density of water helps regulate ocean currents and the distribution of heat in the oceans. It also plays a crucial role in the formation of ice on the surface of bodies of water, which helps to insulate the water below and support aquatic life during the winter months.

Similar threads

  • Introductory Physics Homework Help
Replies
17
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
319
  • Introductory Physics Homework Help
Replies
12
Views
1K
  • Introductory Physics Homework Help
Replies
11
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
417
  • Introductory Physics Homework Help
Replies
12
Views
1K
  • Introductory Physics Homework Help
Replies
13
Views
630
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
2K
Back
Top