Jesse E. answered 05/20/19
Masters in Chemistry and Bachelors in Biology
For this problem, we will use the following equation:
Tfinal = (m1*T1 + m2*T2) / (m1 + m2)
As this equation requires the use of the mass of water, we will use the density of water, 1g = 1 mL.
m1 = 10mL(1g/1mL) = 10 g
m2 = 50ml(1g/1mL) = 50 g
After this, the problem becomes a "plug-and-chug" problem:
Tfinal = (10 g * 60°C + 50 g * 30°C)/ 10 g + 50 g = 35 °C
The final temperature is 35 °C.