A gas occupies 8.97 of volume when the temperature is 27.4C. Determine the new temperature for this gas when the volume becomes 2.65

The answer to your question is T2 = 88.75 °K

Explanation:

Data

Volume 1 = V1 = 8.97

Temperature 1 = T1 = 27.4°C

Volume 2 = V2 = 2.65

Temperature 2 = T2 = ?

Process

To solve this problem use Charles' law.

V1/T1 = V2/T2

-Solve for T2

T2 = V2T1 / V1

-Convert temperature to °K

Temperature 1 = 27.4 + 273 = 300.4°K

-Substitution

T2 = (2.65 x 300.4) / 8.97

-Simplification

T2 = 796.06 / 8.97

-Result

T2 = 88.75 °K