Question

If given the ratio of temperatures in Celsius to Kelvin for Gold to silver as 1.10614 to 1.08265. How can I find the temperatures of each individual element form just this information?

Answer 1

A Celsius temperature is always lower than a Kelvin temperature, at the same temperature. For example, 100 C = 373 K.

So how can the ratio of T(C) to T(K) be greater than 1?

It is unclear if your ratios are T(C)/T(K) or T(gold)/T(silver) using a given scale.

Make sure you are stating the problem correctly

Answer 2

After a little checking, I believe the question is meant to be:

"If given the ratios of melting points of Gold <b>and</b> silver <b>are</b> 1.10614 in Celsius<b>, and</b> 1.08265 <b>in Kelvin</b>. How can I find the <b>melting points</b> of each individual element from just this information?"

Let
S=melting point of silver in Celsius, and
G=melting point of gold in Celsius, then

G/S = 1.10614
(G+273.15)/(S+273.15)=1.08265

Cross multiply each equation and solve for G and S.

G=1.10614S...(1)
G+273.15=1.08265(S+273.15)...(2)

Eliminate G by subtracting (2) from (1)
(1.10614-1.08265)S=(1.08265-1)273.15
S=22.576/0.02349
=961.08 °C
G=1.10614*961.08
=1063.09°C