Calculate the maximum number of mililiters of CO2, at 770 torr and 28 degrees celsius, that could be produced by reacting 500mL of CO2, at 760 torr and 15 deg Celsius, with 500 mL of O2 at 770 torr and 0 deg Celsius.

To calculate the maximum number of milliliters of CO2 that could be produced by the reaction, we need to apply the principles of gas stoichiometry.

1. Convert temperatures from degrees Celsius to Kelvin:
- Initial temperature of CO2 = 15 °C + 273 = 288 K
- Initial temperature of O2 = 0 °C + 273 = 273 K
- Reaction temperature = 28 °C + 273 = 301 K

2. Use the ideal gas law to find the number of moles of CO2 initially and after the reaction:
- For CO2:
P1V1 = n1RT1
(760 torr)(500 mL) = n1(0.0821 L·atm·K⁻¹·mol⁻¹)(288 K)
n1 = (760 torr * 500 mL) / (0.0821 L·atm·K⁻¹·mol⁻¹ * 288 K)

- For O2:
P2V2 = n2RT2
(770 torr)(500 mL) = n2(0.0821 L·atm·K⁻¹·mol⁻¹)(273 K)
n2 = (770 torr * 500 mL) / (0.0821 L·atm·K⁻¹·mol⁻¹ * 273 K)

3. Use the balanced equation of the reaction to determine the stoichiometry:
2CO2 + O2 -> 2CO2

The stoichiometry indicates that for every 2 moles of CO2, you would need 1 mole of O2.

4. Determine the limiting reactant:
Divide the number of moles of CO2 initially by 2 to find the number of moles of O2 needed. If this number is greater than the number of moles of O2 calculated in step 2, then O2 is the limiting reactant. Otherwise, CO2 is the limiting reactant.

5. Calculate the maximum number of moles of CO2 that could be produced:
- If O2 is the limiting reactant:
Determine the number of moles of CO2 that can be produced when all 1 mole of O2 reacts. Multiply this number by 2 to account for the 2:1 stoichiometry.

- If CO2 is the limiting reactant:
Determine the number of moles of CO2 that can be produced when all n1 moles of CO2 react.

6. Convert the number of moles of CO2 to milliliters:
Use the ideal gas law to calculate the volume of CO2 produced, assuming constant temperature and pressure:
V = nRT / P
V = (number of moles) * (0.0821 L·atm·K⁻¹·mol⁻¹) * (301 K) / (770 torr)

By following these steps, you can calculate the maximum number of milliliters of CO2 produced.