A student constructs the thermometer and invents her own temperature scale with the ice point of water

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A student constructs the thermometer and invents her own temperature scale with the ice point of water at 0°S (S for the student) and the boiling point of water at 50°S. She measures the temperature of a beaker of water with her thermometer and finds it to be 15°S.
a. What is the temperature of the water in degrees Celsius?
b. What is the temperature of the water in degrees Fahrenheit?
c. What is the temperature of the water in kelvins?
d. Is the temperature range spanned by 1 Student degree larger or smaller than the range spanned by 1 Celsius degree? Explain.

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