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The resistance of the platinum wire of a...

The resistance of the platinum wire of a platinum resistance thermometer at the ice point is `5 Omega` and at steam point ins `5.23 Omega` When the thermomenter is inserted in a hot bath, the resistance of the platinum wire is `5.795Omega.` Calculate the temperature of the bath.

Text Solution

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`R _(0) =5 Omega, R _(100) = 5.23 Omega and R _(t) = 5.795 Omega`
Now, `t = (R _(t) - R_(0))/( R _(100) - R _(0)) xx 100, R _(t) = R_(0) (1 + alpha t )`
`= ( 5. 795)/(0.23) xx 100 = 345. 65 ^(@)C`
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