A platinum resistance temperature detector (RTD) is used to measured temperature of the hot gas. The resistance of sensing element is 250.3 ohm when it contact with hot gas. calculate the temperature of the gas. The RTD has a resistance of 120 ohm and 80 ohm at 100°C respectively. The temperature coefficient of platinum is 0.0039 C^-1.

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Please answer me fast fast  A platinum resistance temperature detector (RTD) is used to measured temperature of the hot gas. The resistance of sensing element is 250.3 ohm when it contact with hot gas. calculate the temperature of the gas. The RTD has a resistance of 120 ohm and 80 ohm at 100°C respectively. The temperature coefficient of platinum is 0.0039 C^-1.

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Step 1

We have an RTD (Resistance temperature detector ) which is used to measure temperature of hot gas having,

 

Resistance of sensing element (R2) = 250.3 Ω at temperature (T2) of hot gas

Resistance (R0) = 80 Ω at 0° C

Resistance (R1) = 120 Ω at 100° C

Temperature co-efficient (α) = 0.0039 C-1

 

We have been asked to find the temperature of the hot gas (T2) .

 

Now temperature resistance relationship of metals are given as,

 

R1 = R0 (1 + αT1)

R2 = R0 (1 + αT2)

 

we can also write this equation is simplified form as,

 T2 - T1 = R2 - R1α R0

 

where,

T2 will be temperature of the gas.

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