the heat generated goes directly into heating the ice

What mass of butane C4H10 would need to be combusted in order to convert 100.0 g of ice that is initially at 0.0°C to steam at 175.0°C? Assume that all of the heat generated goes directly into heating the ice. Enthalpy of combustion of gaseous butane is -2874 kJ/mol. Heat of vaporization of water is 2260 J/g and heat of fusion of ice is 333 J/g. specific heat(c) of water = 4.18 J/g°C.specific heat(c) of steam = 2.05 J/g°C.Provide work.