Consider the following four ways to heat a house. The first uses a new high-efficiency pulse-combustion gas furnace; the second uses a conventional gas furnace; the third uses an electric heat pump that delivers 3 units of energy to the house for each unit of electrical energy that it consumes (the other 2 units are heat taken from the ambient air); and the fourth uses conventional electric heating. Using HHV values of carbon intensity (since these efficiencies are based on American definitions) and power plants fueled with coal, compute the carbon emissions per unit of heat delivered to the house (gC/MJ). OptionDescriptionFurnace Efficiency (%)Power Plant Efficiency (%)1Pulse-gas95—2Conventional gas70—3Heat pump300354Electric10035 Consider the following four ways to heat a house. The first uses a new high-efficiency pulse-combustion gas furnace; the second uses a conventional gas furnace; the third uses an electric heat pump that delivers 3 units of energy to the house for each unit of electrical energy that it consumes (the other 2 units are heat taken from the ambient air); and the fourth uses conventional electric heating. Using HHV values of carbon intensity (since these efficiencies are based on American definitions) and power plants fueled with coal, compute the carbon emissions per unit of heat delivered to the house ( \( \mathrm{gC} / \mathrm{MJ} \) ). \begin{tabular}{|l|l|l|l|} \hline Option & Description & Furnace Efficiency (\%) & Power Plant Efficiency (\%) \\ \hline 1 & Pulse-gas & 95 & - \\ \hline 2 & Conventional gas & 70 & - \\ \hline 3 & Heat pump & 300 & 35 \\ \hline 4 & Electric & 100 & 35 \\ \hline \end{tabular}