When the volume of a gas is changed from 3.75 L to 6.52 L the temperature will change from 100k to blank k

Guy-Lussac's Law states that the volume and the temperature are directly proportional given that the pressure remains constant.

For this problem, we will assume constant pressure. Based on the law:

(Volume/Temperatur) 1 = (Volume/Temperature) 2

(3.75/100) = (6.52/T)

T = 166.667 kelvin