Question #71609

a scientist uses a gamma degree scale for measuring temperature . in this scale water melts at 10° and boils at 130°. the scientist measures the temperature at which sodium melts to be 127°. express this in kelvin

Expert's answer

We know that water within 100 K: melts at 273,2 K and boils at 373,2 K. From the task we know water melts and boils within 120°. That’s why we may say:

1K = 120° / 100 K = 1.2° or

1° = 100 K / 120° = 0.83 K

The difference between water boiling point and sodium melting point is 3°. Find this difference in kelvin:

ΔT = (3×100)/120 = 2.5 K

The melting point of sodium is:

Tmelt = 373,2 - 2.5 = 370.7 K

1K = 120° / 100 K = 1.2° or

1° = 100 K / 120° = 0.83 K

The difference between water boiling point and sodium melting point is 3°. Find this difference in kelvin:

ΔT = (3×100)/120 = 2.5 K

The melting point of sodium is:

Tmelt = 373,2 - 2.5 = 370.7 K

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