Answer : The value of
for the burning of the fuel is, -998.5 joules.
Explanation :
First we have to calculate the work done.
Formula used :

where,
w = work done = ?
= external pressure = 1.02 atm
= initial volume of gas = 0.255 L
= final volume of gas = 1.45 L
Now put all the given values in the above formula, we get :



conversion used : (1 L.atm = 101.3 J)
Now we have to calculate the change in internal energy of the system.



Therefore, the value of
for the burning of the fuel is, -998.5 joules.