a platinum resistance thermometer has a resistance of 50ohm at 20c temp. when dipped in liquid the resistance becomes 76.8ohm temp.coefficient is 0.00392 find temp. of liquid.

Question

a platinum resistance thermometer has a resistance of 50ohm at 20c temp. when dipped in liquid the resistance becomes  76.8ohm temp.coefficient is 0.00392 find temp. of liquid.

Answer

Calculation of Temperature of Liquid in Platinum Resistance Thermometer

Given: Resistance at 20°C (R₂₀) = 50 ohm, Resistance in liquid (R_L) = 76.8 ohm, Temperature coefficient (α) = 0.00392

Step 1: Calculation of Resistance at 0°C (R₀)

Platinum resistance thermometer is calibrated at 0°C and the resistance at 0°C is known. The resistance at 20°C is given, so we need to calculate the resistance at 0°C. To do this, we use the formula:

R₀ = R₂₀ / (1 + α * 20)

Substituting the given values, we get:

R₀ = 50 / (1 + 0.00392 * 20) = 47.26 ohm

Step 2: Calculation of Temperature of Liquid

Now, we can calculate the temperature of the liquid using the formula:

T_L = (R_L / R₀ - 1) / α

Substituting the given values, we get:

T_L = (76.8 / 47.26 - 1) / 0.00392 = 61.2°C

Step 3: Interpretation of Result

The temperature of the liquid is calculated to be 61.2°C. This means that the temperature of the liquid is higher than the ambient temperature (20°C). The platinum resistance thermometer is a reliable and accurate device for measuring temperature, and the result obtained is trustworthy.

Answer

answer is 156. 73469°c acc. to the formula used Rt=Ro(1+temp.coefficient*(T2-T1))

Answer

156.73469

Answer

hye

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