Answer:
When we finish, the temperature would be 32.5℃
Explanation:
Density of water = mass/volume
So,
Mass of water = Density × Volume
[tex]\\\\$=1.0 \times 2.0 L$\\\\$=1.0 \frac{g}{m L} \times 2000 m L$\\\\$\quad=2000 g$[/tex]
[tex]$Q=m \times c \times \Delta T$[/tex]
where
[tex]\Delta T[/tex] = Final T - Initial T
Q is the heat energy in calories
c is the specific heat capacity (for water 1.0 cal/(g℃))
m is the mass of water
plugging in the values
[tex]$15000 \mathrm{Cal}=2000 \mathrm{g} \times 1.0 \frac{\mathrm{cal}}{\mathrm{g}^{\circ} \mathrm{C}} \times \Delta T$[/tex]
[tex]\\$\Delta T=\frac{15000 \mathrm{cal}}{2000 \mathrm{g} \times \frac{1.0 \mathrm{cal}}{g^{\circ} \mathrm{C}}}$\\\\$\Delta T=7.5^{\circ} \mathrm{C}$[/tex]
Final T = ∆T + Initial T
= 7.5℃ + 25℃ = 32.5℃ (Answer).
