A centrifugal compressor has an impeller tip speed of \(200\ \text{m/s}\). The whirl component of absolute velocity at the impeller exit is \(150\ \text{m/s}\). The whirl component of velocity at the inlet is zero. The specific heat at constant pressure is \(1\ \text{kJ/kg K}\). Using Euler's compressor principle, determine the temperature rise across the impeller.