In an air-conditioning system, air enters at 20$^\circ$C and 30% relative humidity at a steady rate of 30 m$^3$/min in a humidifier and it is conditioned to 25$^\circ$C and 60% relative humidity. Assuming entire process takes place at pressure of 100 kPa, the mass flow rate of steam added to air in the humidifier is $____________$ kg/min (rounded off to three decimal places).