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Ohm's Law

A platinum re...

Question

A platinum resistance thermometer has a resistance of $140.5 W$ at $100^{o} C$ and $100.0 W$ at $0^{o} C$ . When it is in contact with a hot gas, its resistance becomes $305.3 Ω$ . The temperature of the gas is (Assuming temperature coefficient of platinum is $0.004 /^{o} C)$ close to ____ $^{o} C$ .
512

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Solution

The correct option is A 512
The temperature resistance relationship of platinum is given by,

$∵ R_{2} = R_{1} + R_{o} α (T_{2} - T_{1})$

$T_{2} = T_{1} + \frac{R_{2} - R_{1}}{R_{0} \times α}$

$T_{2} = 100 + \frac{305.3 - 140.5}{100 \times 0.004} = 100 + 412$

$T_{2} = 512^{o} C$

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