An ideal monatomic gas of \( n \) moles is taken through a cycle \( WXYZW \) consisting of consecutive adiabatic and isobaric quasi-static processes, as shown in the schematic \( V \)-\( T \) diagram. The volume of the gas at \( W \), \( X \) and \( Y \) points are, \( 64 \, \text{cm}^3 \), \( 125 \, \text{cm}^3 \) and \( 250 \, \text{cm}^3 \), respectively. If the absolute temperature of the gas \( T_w \) at the point \( W \) is such that \( nRT_w = 1 \, \text{J} \) (\( R \) is the universal gas constant), then the amount of heat absorbed (in \( \text{J} \)) by the gas along the path \( XY \) is ________. 
