Answer: The heat required by iron is 1307.11 Joules or 312.4 Cal.
Step-by-step explanation:
To calculate the amount of heat released or absorbed, we use the equation:
![q=mc\Delta T](https://img.qammunity.org/2020/formulas/chemistry/middle-school/an74e00oqxt4o01ckedvbh88hf0kbumqf9.png)
where,
q = heat absorbed
m = mass of ice = 28.4 g
c = specific heat capacity of ice = 0.5Cal/g.°C
= change in temperature =
![T_2-T_1=-1^oC-(-23^oC)=22^oC](https://img.qammunity.org/2020/formulas/chemistry/college/4dh5wqgku9bblsramljnr3x2gqlm7975pc.png)
Putting values in above equation, we get:
![q=28.4g* 0.5Cal/g.^oC* (22^oC)\\\\q=312.4Cal](https://img.qammunity.org/2020/formulas/chemistry/college/ya1c8k0leo84jddsz1mxi8y2jug2xcaeux.png)
Converting the value from calories to joules, we use the conversion factor:
1 J = 0.239 Cal
So,
![312.4Cal=(1J)/(0.239Cal)* 312.4Cal=1307.11J](https://img.qammunity.org/2020/formulas/chemistry/college/l624sc3t5204ng0kt3gooirsr7mk8uw135.png)
Hence, the heat required by ice is 1307.11 Joules or 312.4 Cal.