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You propose a new temperature scale with temperatures given in °M. You define 0.0°M to be the normal melting point of mercury and 100.0°M to be the normal boiling point of mercury. (a) What is the normal boiling point of water in °M? (b) A temperature change of 10.0 °M corresponds to how many °C?

Short Answer

Expert verified

a) The normal boiling point of water on °Mscale is 35.1°M.

b) The temperature change of °Min C is 39.6°C.

Step by step solution

01

Concept/Significance of

The mercury scale operates on the idea that when the temperature changes, the mercury expands and contracts, and this temperature change is recorded. This scale runs from -37°Cto356°C. This scale is based on mercury's characteristics.

02

Determination of the normal boiling point of water in °M

The temperature on the °Mscale is given by,

TM=13.96Tc+39°

Here, TCis the temperature in °C.

Substitute values for normal boiling point in the above equation.

TM=13.96100°C+39°=35.1°M

Thus, the normal boiling point of water n°Mscale is 35.1°M.

03

Determination of A temperature change of 10.0 °M corresponds to C°

Temperature change in °Mcorresponds to °Cis given by,

localid="1664874234375" 100°M=396°C

Substitute values in the above for 10°M,

10°M=39.6°C

Thus, the temperature change 10°Min°Cis39.6°C.

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