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A 100.0 g sample of water at 27.0°c is poured into a 70.3 g sample of water at 89.0°c. what will be the final temperature of the water?

User Xilpex
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2 Answers

5 votes
100g*4.186(specific heat of water)(tf-27)=-70.3g(negative)*(4.186)*(tf-89)
that should do
User Eamonn McEvoy
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7 votes

Answer:

The final temperature of water = 52.6 C

Step-by-step explanation:

The heat (q) lost or gained by a substance of mass m corresponding to a temperature change from T1 to T2 degrees is given as:


q = m*c*(T2-T1)-----(1)

where c = specific heat of the substance

For water, c = 4.18 J/gC

In the given situation:

Heat lost by 70.3 g of water = Heat gained by 100.0 g of water

Based on equation (1) and considering that heat lost is negative:


-70.3*c*(T2-89.0)=100.0*c*(T2-27.0)

Solving the above equation gives:

T2 = 52.6 C

User DaveS
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