Question

7.1.84 g of magnesium is bumed in a bomb calorimeter. The temperature of the calorimeter rose from 21.30 oc to 28.56 oc. The heat capacity of the calorimeter is 6.27 kJ/OC. How many joules of heat were produced by the reaction?

Answer 1

The quantity of heat that was produced by the reaction is 83.76 Joules.

Given the following data:

• Initial temperature, T1 = 21.30°C

• Final temperature, T2 = 28.56°C

• Mass of magnesium = 1.84 g to kg = 0.00184 kg

• Specific heat capacity of calorimeter = 6.27 kJ/kg°C = 6270 J/kg°C

To find how many joules of heat were produced by the reaction:

Mathematically, heat capacity or quantity of heat is given by the formula;

$Q = mc\theta$

Where:

• Q represents the heat capacity or quantity of heat.

• m represents the mass of an object.

• c represents the specific heat capacity.

• ∅ represents the change in temperature.

$\theta = T_2 - T_1\\\\\theta = 28.56 - 21.30\\\\\theta = 7.26$

Substituting into the formula, we have:

$Q = 0.00184$ × $6270$ × $7.26$

Heat capacity, Q = 83.76 Joules

Therefore, the quantity of heat that was produced by the reaction is 83.76 Joules.

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