Answer:
The initial temperature of the water is -75.08 K.
Step-by-step explanation:
Given that,
Mass of water, m = 27 g
Heat absorbed, Q = 1,5000 J
Final temperature of water, T₂ = 57.7 K
The specific heat of water is 4.184 J/g-K
We know that,
![Q=mc\Delta T\\\\Q=mc(T_2-T_1)\\\\(Q)/(mc)=(T_2-T_1)\\\\T_1=T_2-(Q)/(mc)](https://img.qammunity.org/2022/formulas/chemistry/college/pwnjl5tg1zfp6s4tq040eqrm3tpt9ypzan.png)
Put all the values,
![T_1=57.7-(15000)/(27* 4.184 )\\\\=-75.08\ K](https://img.qammunity.org/2022/formulas/chemistry/college/d74farjp70xj5rb5dw3phoatie8gar2ds4.png)
So, the initial temperature of the water is -75.08 K.