Explanation:
For the given reaction, the temperature of liquid will rise from 298 K to 339 K. Hence, heat energy required will be calculated as follows.
![Q_{1} = mC_{1} \Delta T_{1}](https://tex.z-dn.net/?f=Q_%7B1%7D%20%3D%20mC_%7B1%7D%20%5CDelta%20T_%7B1%7D)
Putting the given values into the above equation as follows.
![Q_{1} = mC_{1} \Delta T_{1}](https://tex.z-dn.net/?f=Q_%7B1%7D%20%3D%20mC_%7B1%7D%20%5CDelta%20T_%7B1%7D)
= ![27.3 g \times 1.70 J/g K \times 41](https://tex.z-dn.net/?f=27.3%20g%20%5Ctimes%201.70%20J%2Fg%20K%20%5Ctimes%2041)
= 1902.81 J
Now, conversion of liquid to vapor at the boiling point (339 K) is calculated as follows.
= energy required = ![mL_{v}](https://tex.z-dn.net/?f=mL_%7Bv%7D)
= latent heat of vaporization
Therefor, calculate the value of energy required as follows.
= ![mL_{v}](https://tex.z-dn.net/?f=mL_%7Bv%7D)
= ![27.3 \times 444](https://tex.z-dn.net/?f=27.3%20%5Ctimes%20444)
= 12121.2 J
Therefore, rise in temperature of vapor from 339 K to 373 K is calculated as follows.
![Q_{3} = mC_{2} \Delta T_{2}](https://tex.z-dn.net/?f=Q_%7B3%7D%20%3D%20mC_%7B2%7D%20%5CDelta%20T_%7B2%7D)
Value of
= 1.06 J/g,
= (373 -339) K = 34 K
Hence, putting the given values into the above formula as follows.
![Q_{3} = mC_{2} \Delta T_{2}](https://tex.z-dn.net/?f=Q_%7B3%7D%20%3D%20mC_%7B2%7D%20%5CDelta%20T_%7B2%7D)
= ![27.3 g \times 1.06 J/g \times 34 K](https://tex.z-dn.net/?f=27.3%20g%20%5Ctimes%201.06%20J%2Fg%20%5Ctimes%2034%20K)
= 983.892 J
Therefore, net heat required will be calculated as follows.
Q = ![Q_{1} + Q_{2} + Q_{3}](https://tex.z-dn.net/?f=Q_%7B1%7D%20%2B%20Q_%7B2%7D%20%2B%20Q_%7B3%7D)
= 1902.81 J + 12121.2 J + 983.892 J
= 15007.902 J
Thus, we can conclude that total energy (q) required to convert 27.3 g of THF at 298 K to a vapor at 373 K is 15007.902 J.