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mixing ratio

Hi,
how would I go about working this problem out:

3 units of water that are 5oC mix with 2 units of water that are 10oC, what is the resultant temperature of the mixture?

thanks
Original post by mchammer
Hi,
how would I go about working this problem out:

3 units of water that are 5oC mix with 2 units of water that are 10oC, what is the resultant temperature of the mixture?

thanks


(3 x 5) + (2 x 10) = 15 + 20 = 35, so 35 is the 'total temperature'

There are 5 units, so for the mean temperature, you do 35/5 = 7oc.
Original post by thegodofgod
(3 x 5) + (2 x 10) = 15 + 20 = 35, so 35 is the 'total temperature'

There are 5 units, so for the mean temperature, you do 35/5 = 7oc.


That would be incorrect.

Original post by mchammer
Hi,
how would I go about working this problem out:

3 units of water that are 5oC mix with 2 units of water that are 10oC, what is the resultant temperature of the mixture?

thanks


I'm assuming the specific heat capacity of water = 4.2 J/g degC

The temperature of the 3 unit setup is higher than that of the 2 unit setup. Hence, when mixed together, thermal energy will flow from the 3 units to the 2 units until both are at equal temperatures.

3*4.2*(50-T) = 2*4.2*(T-10)

T = final temperature.
Reply 3
Avatar for Repressor
Repressor
11
I would probably use kelvin for this. I'm not sure if it makes a difference, but 50°C is not 5 times as hot as 10°C and therefore doesn't contribute 5x the energy.
Original post by Repressor
I would probably use kelvin for this. I'm not sure if it makes a difference, but 50°C is not 5 times as hot as 10°C and therefore doesn't contribute 5x the energy.


It wouldn't make a difference since a change in temp. of 1 K = a change of temp. of 1 deg C

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