<u>Answer:</u> The amount of heat released is 155.9 kJ
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
![\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20moles%7D%3D%5Cfrac%7B%5Ctext%7BGiven%20mass%7D%7D%7B%5Ctext%7BMolar%20mass%7D%7D)
We are given:
Given mass of HF = 100.0 g
Molar mass of HF = 20 g/mol
Putting values in above equation, we get:
![\text{Moles of HF}=\frac{100.0g}{20g/mol}=5mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20HF%7D%3D%5Cfrac%7B100.0g%7D%7B20g%2Fmol%7D%3D5mol)
To calculate the heat of the reaction, we use the equation:
![\Delta H_{rxn}=\frac{q}{n}](https://tex.z-dn.net/?f=%5CDelta%20H_%7Brxn%7D%3D%5Cfrac%7Bq%7D%7Bn%7D)
where,
= amount of heat released =
n = number of moles = 5 moles
= enthalpy change of the reaction = 31.18 kJ/mol
Putting values in above equation, we get:
![31.18kJ/mol=\frac{q}{5mol}\\\\q=(31.18kJ/mol\times 5mol)=155.9kJ](https://tex.z-dn.net/?f=31.18kJ%2Fmol%3D%5Cfrac%7Bq%7D%7B5mol%7D%5C%5C%5C%5Cq%3D%2831.18kJ%2Fmol%5Ctimes%205mol%29%3D155.9kJ)
Hence, the amount of heat released is 155.9 kJ