A new temperature scale in degree (mathrm{N}) is desired with a freezing point at (100^{circ} mathrm{N}) and

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A new temperature scale in degree \(\mathrm{N}\) is desired with a freezing point at \(100^{\circ} \mathrm{N}\) and the boiling point at \(400^{\circ} \mathrm{N}\). Establish a correlation between degrees Celsius and degrees N. What would be the absolute temperature at \(0^{\circ} \mathrm{N}\) ?

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