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
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?
2 answers
After a little checking, I believe the question is meant to be:
"If given the ratios of melting points of Gold and silver are 1.10614 in Celsius, and 1.08265 in Kelvin. How can I find the melting points 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
"If given the ratios of melting points of Gold and silver are 1.10614 in Celsius, and 1.08265 in Kelvin. How can I find the melting points 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