Problem: Substances A and B, initially at different temperatures, come in contact with each other and reach thermal equilibrium. The mass of substance A is twice the mass of substance B. The specific heat capacity of substance B is twice the specific heat capacity of substance A. Which statement is true about the final temperature of the two substances once thermal equilibrium is reached?(a) The final temperature is closer to the initial temperature of substance A than it is to the initial temperature of substance B.(b) The final temperature is closer to the initial temperature of substance B than it is to the initial temperature of substance A.(c) The final temperature is exactly midway between the initial temperatures of substances A and B.

FREE Expert Solution

$\overline{){\mathbf{q}}{\mathbf{=}}{\mathbf{mc}}{\mathbf{∆}}{\mathbf{T}}}$

+qabsorbs heat
–qloses heat

– qA = + qB

• mA = 2mB
• cB = 2cA

At thermal equilibrium:

▪ final temperature of A = final temperature of B = final temperature of system

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Problem Details

Substances A and B, initially at different temperatures, come in contact with each other and reach thermal equilibrium. The mass of substance A is twice the mass of substance B. The specific heat capacity of substance B is twice the specific heat capacity of substance A. Which statement is true about the final temperature of the two substances once thermal equilibrium is reached?
(a) The final temperature is closer to the initial temperature of substance A than it is to the initial temperature of substance B.
(b) The final temperature is closer to the initial temperature of substance B than it is to the initial temperature of substance A.
(c) The final temperature is exactly midway between the initial temperatures of substances A and B.