Answer to Question #149861 in General Chemistry for Megan Wakley

Question

A sample of water has a specific heat of 4.18 J/go​ ​C while a sample of metal has a specific heat of 0.65 J/go​ ​C. If equal masses of the metal and the water begin at the same temperature and then receive 100 J of energy.
A. How does the temperature of the water compare to the temperature of the metal?
B. Explain your answer.

Answer 1

Q=C x m x deltaT

m = const = 1 (for this case)

C_1(water) = 4.18 J/g^o​C

C_2(metal) = 0.65 J/g^o​C

100 = 4.18 x 1 x deltaT₁

deltaT₁ = 23.92^o​C

100 = 0.65 x 1 x deltaT₂

deltaT₂ = 153.85^o​C

Answer: temperature of metal will be 6.43 times higher than that of water.