# Problem: Two substances, A and B, of equal mass but at different temperatures come into thermal contact. The specific heat capacity of substance A is twice the specific heat capacity of substance B. Which statement is true of the temperature of the two substances when they reach thermal equilibrium? (Assume no heat loss other than the thermal transfer between the substances.)a) The final temperature of both substances is closer to the initial temperature of substance A than the initial temperature of substance B.b) The final temperature of both substances is closer to the initial temperature of substance B than the initial temperature of substance A.c) The final temperature of both substances is exactly midway between the initial temperatures of substance A and substance B.d) The final temperature of substance B is greater than the final temperature of substance A.

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###### FREE Expert Solution

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

+qabsorbs heat
–qloses heat

– qA = + qB

• mA = mB = m
• cA = 2cB

At thermal equilibrium:

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

###### Problem Details

Two substances, A and B, of equal mass but at different temperatures come into thermal contact. The specific heat capacity of substance A is twice the specific heat capacity of substance B. Which statement is true of the temperature of the two substances when they reach thermal equilibrium? (Assume no heat loss other than the thermal transfer between the substances.)

a) The final temperature of both substances is closer to the initial temperature of substance A than the initial temperature of substance B.
b) The final temperature of both substances is closer to the initial temperature of substance B than the initial temperature of substance A.
c) The final temperature of both substances is exactly midway between the initial temperatures of substance A and substance B.
d) The final temperature of substance B is greater than the final temperature of substance A.