Charles Law application here where we are analyzing volume and temperature of a gas after changing one of those variables.
V1 = 240 mL
T1 = 90 degrees C, but we must convert that to K, so it's 363K
V2 = 450 mL
T2 is what we are solving for
V1/T1 = V2/T2
Rearranging for T2 = (T1 x V2) / V1
Solving for T2 gives you 680.6, but remember this is in Kelvin. You must subtract 273 from this value to convert it back to Celsius since that is what the question asked for. Final T would be 407.6 degrees Celsius.