(a) Translate the following into a mathematical statement: “For an ideal gas at constant pressure, it is known that the volume of the gas V, is directly proportional to the temperature of the gas T (in Kelvin).

(b) If a certain gas has a volume of 1.8 cubic meters at a temperature of 225 Kelvin, find the constant k and write the mathematical model that relates the V and K.

(c) Use your model from (b) to find the temperature of the gas if the volume increases to 2.6 cubic meters. Show all work.