An ideal gas is compressed adiabatically (Adiabatic exponent \( \gamma = 1.4 \)) from 98 kPa to 480 kPa and the specific volume of the gas at the beginning of the compression stroke is \( 0.45 \, \text{m}^3 \, \text{kg}^{-1} \). The specific work done on the gas in kJ kg\(^{-1}\) is __________.