1. Methane and oxygen exist in a stoichiometric mixture at 500kPa and 298 K. They are ignited and react at constant volume.Combustion is complete.
a. Find the heat removed from the system per kmol of fuel if thefinal products are at 1500 K.
b. What is the final pressure?
c. Explain what assumptions made in this calculation are lessaccurate for constant volume combustion than for the constantpressure combustion we have studied before.
d. If the reaction above occurs in an insulated container, findthe final temperature and pressure of the products.
e. If the same mixture reacts at constant pressure, find thefinal temperature.
f. Suppose the products from both #2 and #3 then undergoadiabatic expansion in a pistoncylinder device. Find the total workdone for both processes in each problem and draw the P-v and T-sdiagrams (two diagrams that include two processes for eachproblem).
g. If one approach produces more work than the other using thesame amount of fuel, use the first and second law to explainwhy.
