I'm having trouble with a math problem, it says: A quantity of gas has a volume of 0.20 cubic meter and an absolute temperature of 333 degrees kelvin. When the temperature of the gas is raised to 533 degress kelvin, what is the new volume of the gas? Thank You.

Assuming constant pressure, volume is directly proportional to absolute temperature...

Volumefinal= volumeinitial*(tempfinal/tempinial)

Volumefinal= .2*533/333

If the pressure of a gas is 550.280 kPa, it's gage pressure is?

Your calculation is correct; just multiply it out to 0.32m^3.

Gauge pressure is pressure in excess of atmospheric pressure. 1 atmosphere is 101.325kPa. So guage pressure is: (550.280-101.325)kPa.

To find the gage pressure of a gas, you need to know both the absolute pressure and the atmospheric pressure.

Gage pressure = Absolute pressure - Atmospheric pressure

If the problem does not provide the atmospheric pressure, you won't be able to calculate the gage pressure.