Natural gas (assume pure methane) is delivered to a city via...

Natural gas (assume pure methane) is delivered to a city via pipeline at a volumetric rate of 4.0 mega normal $\mathrm{m}^3$ per day. If the selling price of the gas is $$\$ 5.00$$ per GJ of higher heating value, what is the expected revenue in dollars per day? Normal conditions are $273.15 \mathrm{~K}$ ( PC) and $1 \mathrm{~atm}$.

Key Concepts

Standard Conditions and Molar Volume

This concept involves understanding that gas volumes are measured at specific conditions, here 273.15 K and 1 atm, often called ‘normal’ or ‘standard’ conditions. Under these conditions, a known volume of gas corresponds to a specific number of moles, which is essential for converting between volumetric flow and the amount of substance using the ideal gas law.

Higher Heating Value (HHV)

The Higher Heating Value (HHV) represents the total energy released when a fuel is completely combusted, including the latent heat of vaporization of water produced during combustion. It is critical for assessing the energy content of fuels and is commonly used in energy pricing to determine the worth of a given amount of fuel by energy produced.

Unit Conversion and Energy Computation

This key concept covers the transformation of a volumetric gas flow rate into an energy content measurement. It involves converting the given volume under standard conditions to the corresponding number of moles, then using the known energy produced per mole (or per unit mass) of methane to compute the total energy delivered over a given time period.

Revenue Calculation in Energy Markets

Revenue calculation in this context involves applying the price per energy unit to the computed total energy delivered. By multiplying the energy content (in gigajoules) by the cost per gigajoule, one can determine the daily revenue from the gas delivery, a fundamental process in energy economics and commercial fuel operations.

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