# Two substances, A and B, initially at different temperatures, come into contact and reach thermal equilibrium. The mass of substance A is 6.34 g and its initial temperature is 20.2 ∘C . The mass of substance B is 25.3 g and its initial temperature is 52.8 ∘C. The final temperature of both substances at thermal equilibrium is 46.2 ∘C.           If the specific heat capacity of substance B is 1.17 J/(g⋅∘C), what is the specific heat capacity of substance A?                Express your answer in joules per gram per degree Celsius.

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Two substances, A and B, initially at different temperatures, come into contact and reach thermal equilibrium. The mass of substance A is 6.34 g and its initial temperature is 20.2 ∘C . The mass of substance B is 25.3 g and its initial temperature is 52.8 ∘C. The final temperature of both substances at thermal equilibrium is 46.2 ∘C.

If the specific heat capacity of substance B is 1.17 J/(g⋅∘C), what is the specific heat capacity of substance A?

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Step 1

The weight of substance A is 6.34 g.

The initial temperature of substance A is 20.2˚C.

The weight of substance B is 25.3 g.

The initial temperature of substance B is 52.8˚C.

The final temperature of both substances is 46.2˚C.

The specific heat of substance B is 1.17 J/g ˚C.

Step 2

The heat transfer during a reaction is given by,

Step 3

Here, q is the heat energy, m is the mass of a substance, c is the specific heat, and ∆T is the change in temperature.

The transfe...

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### Chemical Thermodynamics 