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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 cm$$^3$$, 125 cm$$^3$$ and 250 cm$$^3$$, respectively. If the absolute temperature of the gas $$T_W$$ at the point $$W$$ is such that $$nRT_W = 1$$ J ($$R$$ is the universal gas constant), then the amount of heat absorbed (in J) by the gas along the path $$XY$$ is ______.
Correct Answer: 1.6
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