Question

A conductor immersed in a colorimeter U=100cal/g and containing 100g and traversed by a current of 1A for 3minutes knowing that the temperature rises by 3.6°C.Calculate the conductor resistance C=0.5cal/g°C

Answer 1

Answer:

The resistance of the conductor = 4.2 ohms

Step-by-step explanation:

Mass = 100g

m = 100/100 kg

m = 0.1 kg

The temperature rise, △θ = 3.6°C

The specific heat capacity, c =0.5cal/g°C​

c = 0.5 x 4186.8 J/kg

c = 2093.4 J/kg°C

Current, I = 1 A

Time, t = 3 minutes

t = 3 x 60

t = 180 seconds

Using the principle of conservation of energy:

Heat Energy by the calorimeter = Electrical energy by the conductor

mc△θ = I²Rt

0.1 x 2093.4 x 3.6 = 1² x R x 180

753.624 = 180R

R = 753.624/180

R = 4.2 ohms

The resistance of the conductor = 4.2 ohms