Answer:
R2 = 10.31Ω
Explanation:
For two resistors in parallel you have that the equivalent resistance is:
      (1)
R1 =  13 Ω
R2 = ?
The equivalent resistance of the circuit can also be calculated by using the Ohm's law:
            (2)
V: emf source voltage = 23 V
I: current = 4 A
You calculate the Req by using the equation (2):

Now, you can calculate the unknown resistor R2 by using the equation (1):

hence, the resistance of the unknown resistor is 10.31Ω
 
        
                    
             
        
        
        
The heat released by the water when it cools down by a temperature difference 

 is

where
m=432 g is the mass of the water

 is the specific heat capacity of water

 is the decrease of temperature of the water
Plugging the numbers into the equation, we find

and this is the amount of heat released by the water.
 
        
             
        
        
        
We shall consider two properties:
1. Temperature difference
2. Thermal conductivity of the material
Use a cylindrical rod of a given material (say steel) which is insulated around its circumference.
One end of the rod is dipped in a large reservoir of water at 100 deg.C and the other end is dipped in water (with known volume) at 40 deg. C. The cold water if stored in a cylinder which is insulated on all sides. A thermometer reads the temperature of the cold water as a function of time.
This experiment will show that
(a) heat flows from a region of high temperature to a region of lower temperature.
(b) The thermal energy of a body increases when heat is added to it, and its temperature will rise.
(c) The thermal conductivity of water determines how quickly its temperature will rise. If mercury replaces water in the cold cylinder, its temperature will rise at a different rate because its thermal conductivity is different.
        
                    
             
        
        
        
Flow of electrons through a copper wire