Question

the resistance of a wire at ice points is 5 ohm and at steam point. it is 5.3 ohm when the wire is inserted in a hot bath the resistance is 5.6 ohm calculate the temperature of hot bath​

Answer 1

Dear Sumit,

● Answer -
T = 200 °C

● Explanation -
# Given -
R0 = 5 ohm
R100 = 5.3 ohm
Rb = 5.6 ohm

# Solution -
Temperature of hot bath is calculated by formula -
T = 100 (Rb-R0) / (R100-R0)
T = 100 × (5.6-5) / (5.3-5)
T = 60 / 0.3
T = 200 °C

Therefore, temperature of hot bath is 200 °C.

Hope this helped...

Answer 2

the resistance of a wire at ice points is 5 ohm and at steam point. it is 5.3 ohm when the wire is inserted in a hot bath the resistance is 5.6 ohm calculate the temperature of hot bath

ice point = 0 deg

steam point = 100 deg

delta T = 100

alpha

R100 = R0 (1 + alpha deltaT)

5.3 = 5(1+ alpha 100)

5.3 = 5 + alpha500

alpha = 0.3/500

alpha = 0.006

RT = R0(1 + alphaT)

5.6 = 5 + 5(0.006)T

0.6 = 0.003T

T = 0.6/0.003

T = 200 deg