Boiling Water Using an “Other-Dimensional” Outlet

Problem Statement

Person A decided to boil water of mass $m_0$m0​ to make hot water.

After 4 minutes and 30 seconds, the temperature of the hot water changed from $T_0$T0​ (the temperature before heating) to $T_1$T1​ (the temperature after 4 minutes and 30 seconds).

Assume the thermal efficiency is $\eta_0$η0​ and the specific heat of water is constant at $c_w$cw​.

Answer the following questions.

(1) Find the total amount of energy ( $\mathrm{J}$J ) used to heat the water.

(2) Find the average power consumption (work rate) ( $\mathrm{W}$W ) of the heating appliance used to heat the water.

Constraints

• $\eta_0 = 1.00$η0​=1.00 ($100\%$100%)
• $m_0 = 2250\ \mathrm{g}$m0​=2250 g
• $T_0 = 288.15\ \mathrm{K}$T0​=288.15 K
• $T_1 = 333.15\ \mathrm{K}$T1​=333.15 K
• $c_w = 4.184\ \mathrm{J}/(\mathrm{g}\cdot\mathrm{K})$cw​=4.184 J/(g⋅K)

Input Format

Let $A_1$A1​ be the answer to Part (1) and $A_2$A2​ be the answer to Part (2). Calculate the value of $A_1 + A_2$A1​+A2​ and enter that natural number.