Physics Final Pressure

Question

Long-term space missions require reclamation of the oxygen in the carbon dioxide exhaled by the crew. In one method of reclamation, 1.00 mol of carbon dioxide produces 1.00 mol of oxygen, with 1.00 mol of methane as a by-product. The methane is stored in a tank under pressure and is available to control the attitude of the spacecraft by controlled venting. A single astronaut exhales 1.12 kg of carbon dioxide each day. If the methane generated in the recycling of three astronauts' respiration during one week of flight is stored in an originally empty 145-L tank at −45.0°C,

 what is the final pressure in the tank? 

Answer 1

Hello this would be solved using ideal gas law.

steps

1. calculate amount of CO2 produced by three astronomers in 1 week in kgs.
2. find weight of 1 mole of CO2 in gms.
3. Find no of moles of CO2 produced.
4. This gives number of moles of CH4 (methane).
5. Next use ideal gas law PV = nRT where V = 145L, n = 0.08206 Atm-L/mol-kelvin n is as in #4 above and T = -45* + 273 = 228 L
6. plug all this in and you get pressure in ATM.

let me know if you would need further help on this

Sanjay