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Chapter 5: Q26E (page 270)

When 50.0g of 0.200M NaCl(aq) at 24.1藲C is added to 100.0g of 0.100M AgNO3(aq) at 24.1藲C in a calorimeter, the temperature rises to 25.2藲C as AgCl(s) forms. Assuming the specific heat of the solution and products is 4.20J/g藲C, calculate the approximate amount of heat in joules produced.

Short Answer

Expert verified

The reaction produces approximately 693 J of heat.

Step by step solution

01

Given data

To visualize what is going on, imagine that you combined the two solutions so quickly that no reaction takes place when they are combined, then after mixing, the reaction takes place. The moment the two solutions are mixed, you have a 50g of 0.2M NaCl(aq) at 24.1藲C and a 100g of 0.1M AgNO3(aq) at 24.1藲C.

02

Heat given off

The heat given off by the reaction is equal to that taken in by the solution.Therefore, qreaction = -qsolution.

03

Calculation of the heat

Next, we know that the heat absorbed by the solution depends on its specific heat, mass, and temperature change:

qsolution= (c 脳 m 脳 螖T)solution鈥︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌︹赌�(1)

It is given that the specific heat of the solution and the product is 4.20 J/g藲C. Substitute the given values into reaction

(1).

qsolution =(4.20 J/g藲C)(150 g)(25.2藲C-24.1藲C) =693J

Finally, qreaction= -qsolution

= -693 J

The -ve sign indicates that the energy is released in the reaction. Hence, it is an exothermic reaction.

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