physics

The new volume of the gas is determined by the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the absolute temperature. Since this problem states the pressure is constant, the new volume is 1000m^3. This is because the temperature has increased by a factor of 10 (from 27C to 327C), while the pressure and number of moles of gas remain constant, so the volume must increase by a factor of 10 as well. Specifically, the ideal gas law can be rearranged as V = (nRT/P), and so for a constant pressure, the new volume (V2) will be 10 times the original volume (V1) -- or V2 = 10V1, or V2 = 10(2m^3) = 1000m^3.