Butane (C₄H₁₀) used in a grill burns according to the following reaction: 

2 C₄H₁₀( g) + 13 O₂(g) → 8 CO₂(g) + 10 H₂O(g) ΔH°_rxn = -5756.6 kJ 

A certain piece of steak needs to absorb 539 kJ to fully cook. Calculate the mass of CO₂ emitted if only 15% of the heat produced is actually absorbed by the steak.