Answer:
m = 50.74 kg
Step-by-step explanation:
We have,
Initial temperature of water is 20 degrees Celsius
Final temperature of water is 46.6 degrees Celsius
Heat absorbed is 5650 J
It is required to find the mass of the sample. The heat absorbed is given by the formula ad follows :
![Q=mc\Delta T](https://img.qammunity.org/2021/formulas/physics/college/kuq549xu8athiwb0a6gllnnvqkpi0g7e3s.png)
c is specific heat of water, c = 4.186 J/g°C
So,
![m=(Q)/(c\Delta T)\\\\m=(5650)/(4.186* (46.6-20))\\\\m=50.74\ kg](https://img.qammunity.org/2021/formulas/chemistry/high-school/o8xd6ji985yv4e4crqrffrte1d1c946gh8.png)
So, the mass of the sample is 50.74 kg.