# 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.

###### 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

92% (329 ratings) ###### 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.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Thermal Equilibrium concept. You can view video lessons to learn Thermal Equilibrium. Or if you need more Thermal Equilibrium practice, you can also practice Thermal Equilibrium practice problems.

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Based on our data, we think this problem is relevant for Professor Younes' class at HCC FL.