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You perform a reaction in a coffee cup calorimeter. The calorimeter has 100 mL of water in it, and the temperature of the water increases by 9.3°C. The calorimeter has a heat capacity of 50.2 J/°C. How much heat was produced by the reaction (specific heat capacity of water is 4.184 J/g-°C)?

User Paul Ruane
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1 Answer

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We can use the equation:

q = m * c * ΔT

where q is the heat absorbed or released by the water, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature of the water.

Since we know that the calorimeter contains 100 mL (or 100 g, since 1 mL of water has a mass of 1 g) of water and that the temperature of the water increased by 9.3°C, we can plug in these values:

q = (100 g) * (4.184 J/g-°C) * (9.3°C)

q = 3896.68 J

However, this is not the total amount of heat produced by the reaction. We need to take into account the heat absorbed by the calorimeter itself, which has a heat capacity of 50.2 J/°C. If we assume that the temperature of the calorimeter did not change during the reaction (i.e., it remained constant), we can calculate the heat absorbed by the calorimeter:

q_calorimeter = (50.2 J/°C) * (9.3°C)

q_calorimeter = 466.86 J

The total heat produced by the reaction is then:

q_reaction = q_water + q_calorimeter

q_reaction = 3896.68 J + 466.86 J

q_reaction = 4363.54 J

Therefore, the heat produced by the reaction is 4363.54 J.

User Kai ZHAO
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