You decide to establish a new temperature scale on which the melting point of ammonia (-77.75 C ) is 0 A, and the boiling point of ammonia (-33.35 C ) is 200 A

What would be the temperature of absolute zero in A ?

Chemistry

I answered this below.

1 To find the temperature of absolute zero in the new temperature scale (A), we need to understand that absolute zero is the lowest possible temperature, at which all molecular motion ceases.

To convert temperatures from the Celsius scale to the new scale (A), we need to establish a linear relationship between the two scales using the given data:

The range between the melting point and boiling point of ammonia in the new scale (A) is 200 A - 0 A = 200 A.

The range between the melting point and boiling point of ammonia in the Celsius scale is -33.35°C - (-77.75°C) = 44.4°C.

Therefore, the ratio of the temperature ranges between the two scales is:
200 A / 44.4°C.

To find the temperature of absolute zero on the new scale, we can use this ratio.

Since absolute zero is -273.15°C on the Celsius scale, we can calculate its equivalent in the new scale (A):

Absolute zero in A = (-273.15°C) * (200 A / 44.4°C).

Simplifying this equation gives us the temperature of absolute zero in the new scale (A).