help with the steps on how to solve this problem not getting answer in book

Chemistry
Tutor: None Selected Time limit: 1 Day

a sample of gold (specific heat +0.126 j g c) with mass number 250.0g is heated to 98.0 c and dropped into 500.0g of water at 28.4 c . assume there is no heat lost to the environment. what will temperature be? 

Dec 10th, 2014

Specific heat of water = 4.184 

250 * (98-x) * 0.126 = 500 * (x-28.4) * 4.184 

Cancelling 250 on both sides

(98-x) * 0.126 = 2(x-28.4)*4.184

98 * 0.126 +56.8*4.184 = x(0.126+8.368)

249.9992 = x(8.494)

x = 249.9992/8.494 = 29.432

Answer: 29.430 C

Reference:

http://www.chemteam.info/Thermochem/MixingMetal&Water.html


Dec 10th, 2014

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