Answer:
![Hr=4.2*10^7\ btu/hr](https://img.qammunity.org/2022/formulas/engineering/college/svgxbdpwtf72d5vface3de8yx730mhn0vi.png)
Step-by-step explanation:
From the question we are told that:
Water flow Rate
![R=4.5slug/s=144.78ib/sec](https://img.qammunity.org/2022/formulas/engineering/college/csi17gczef3kdr8zsxeyae1yumtzqci7t7.png)
Initial Temperature
![T_1=60 \textdegree F](https://img.qammunity.org/2022/formulas/engineering/college/1urb79r8rzhtcva3kme5bl0t6tog7ozwu2.png)
Final Temperature
![T_2=140 \textdegree F](https://img.qammunity.org/2022/formulas/engineering/college/16lukcdbtv5ful61fyq67tl62uoj5sy6oe.png)
Let
Specific heat of water
![\gamma= 1](https://img.qammunity.org/2022/formulas/engineering/college/nnwdeedhbnllh58g3r96nzux8vqph680bn.png)
And
![\triangle T= 140-60](https://img.qammunity.org/2022/formulas/engineering/college/gbxzphyaw7xcjzvptwf9kf9fihnb6qaxps.png)
![\triangle T= 80\ Deg.F](https://img.qammunity.org/2022/formulas/engineering/college/kop1gnaf1f6mlfwmnq5cjmc1od1k6rqsly.png)
Generally the equation for Heat transfer rate of water
is mathematically given by
Heat transfer rate to water= mass flow rate* specific heat* change in temperature
![H_r=R* \gamma*\triangle T](https://img.qammunity.org/2022/formulas/engineering/college/74jkb02jflbqz6ppwquzw44z4qbcgr6ov3.png)
![H_r=144.78*80*1](https://img.qammunity.org/2022/formulas/engineering/college/isxijvjm0ud5tf7oc9142xe5nmosfl9iuc.png)
![H_r=11582.4\ btu/sec](https://img.qammunity.org/2022/formulas/engineering/college/tnvegkvbpgz7aaiwutat9fdvxbyiby2fxe.png)
Therefore
![H_r=11582.4\ btu/sec*3600](https://img.qammunity.org/2022/formulas/engineering/college/i3rksbkge9m6bz4v499o6rccc6ilv96uyk.png)
![Hr=4.2*10^7\ btu/hr](https://img.qammunity.org/2022/formulas/engineering/college/svgxbdpwtf72d5vface3de8yx730mhn0vi.png)