CH4+2O2-->CO2+2H2O

How many Liters of carbon dioxide will be produced at 24 degrees celcius and 725mm Hg from the combustion of a 15.0 gallon tank of methane?

How much energy is associated with combusting a 15.0 gallon tank of methane?

One needs to know the pressure and temperature of the methane.

To determine the number of liters of carbon dioxide produced, we need to use the given equation and stoichiometry.

The balanced equation is:
CH4 + 2O2 -> CO2 + 2H2O

We can see that for every one mole of methane (CH4) combusted, one mole of carbon dioxide (CO2) is produced.

First, we need to convert the volume of methane gas from gallons to liters:
1 gallon = 3.78541 liters

So, a 15.0-gallon tank of methane is equal to 15.0 * 3.78541 = 56.78065 liters.

Next, we need to convert the volume of carbon dioxide from moles to liters using the ideal gas law equation:

PV = nRT

Where:
P = pressure (in atmospheres)
V = volume (in liters)
n = moles
R = ideal gas constant (0.0821 L.atm/mol.K)
T = temperature (in Kelvin)

Given:
Pressure (P) = 725 mmHg = 0.95686 atm
Temperature (T) = 24°C = 297 K (converted to Kelvin)

We can now calculate the number of moles of carbon dioxide produced using the following ratio:

1 mole CH4 : 1 mole CO2

Since we know that one mole of any gas at STP (Standard Temperature and Pressure) occupies 22.4 liters, we can calculate the volume of carbon dioxide produced.

Let's go step by step:

1. Convert temperature to Kelvin:
T = 24°C + 273.15 = 297 K

2. Use the ideal gas law equation to calculate moles of carbon dioxide:
PV = nRT
(0.95686 atm) * V = n * (0.0821 L.atm/mol.K) * 297 K

Solve for n (moles of CO2).

3. Calculate the volume of carbon dioxide in liters:
Volume (CO2) = n (moles of CO2) * 22.4 L/mol

Now, let's perform the calculations to determine the number of liters of carbon dioxide produced.

Please note that the energy associated with combusting a 15.0-gallon tank of methane cannot be determined with the given information and equation. It would require additional information such as the enthalpy of combustion or calorimetry data.