The amount of heat released by the sample has been 22.54 kJ. Thus, option C is correct.
The specific heat has been defined as the amount of heat required to raise the temperature of 1 gram of substance by 1 degree Celsius.
The specific heat has been expressed as:
![q=mc\Delta T](https://tex.z-dn.net/?f=q%3Dmc%5CDelta%20T)
<h3 /><h3>Computation for the heat absorbed</h3>
The iron and calorimeter are in side the closed system. Thus, the energy released by the sample, has been equivalent to the energy absorbed by the calorimeter.
![q_{released}=q_{absorbed}\\ q_{released}=m_{calorimeter}\;c_{calorimeter}\;\Delta T](https://tex.z-dn.net/?f=q_%7Breleased%7D%3Dq_%7Babsorbed%7D%5C%5C%0Aq_%7Breleased%7D%3Dm_%7Bcalorimeter%7D%5C%3Bc_%7Bcalorimeter%7D%5C%3B%5CDelta%20T)
The given mass of calorimeter has been, ![m_{calorimeter}=1350\;\rm g](https://tex.z-dn.net/?f=m_%7Bcalorimeter%7D%3D1350%5C%3B%5Crm%20g)
The specific heat of the calorimeter has been, ![c_{calorimeter}=5.82\;\rm J/g^\circ C](https://tex.z-dn.net/?f=c_%7Bcalorimeter%7D%3D5.82%5C%3B%5Crm%20J%2Fg%5E%5Ccirc%20C)
The change in temperature of the calorimeter has been, ![\Delta T=2.87^\circ \rm C](https://tex.z-dn.net/?f=%5CDelta%20T%3D2.87%5E%5Ccirc%20%5Crm%20C)
Substituting the values for heat released:
![q_{released}= 1350\;\text g\;\times\;5.82\;\text J/\text g^\circ \text C\;\times\;2.87^\circ \text C\\ q_{released}=22,549.5\;\text J\\ q_{released}}=22.54\;\rm kJ](https://tex.z-dn.net/?f=q_%7Breleased%7D%3D%201350%5C%3B%5Ctext%20g%5C%3B%5Ctimes%5C%3B5.82%5C%3B%5Ctext%20J%2F%5Ctext%20g%5E%5Ccirc%20%5Ctext%20C%5C%3B%5Ctimes%5C%3B2.87%5E%5Ccirc%20%5Ctext%20C%5C%5C%0Aq_%7Breleased%7D%3D22%2C549.5%5C%3B%5Ctext%20J%5C%5C%0Aq_%7Breleased%7D%7D%3D22.54%5C%3B%5Crm%20kJ)
The amount of heat released by the sample has been 22.54 kJ. Thus, option C is correct.
Learn more about specific heat, here:
brainly.com/question/2094845