I want to see you work up the Boyle's law equations (show your work) for the effective force of a fart assisted by an MRE.... you have 2 hours, scratch paper is provided...:-|
Alright, I'll play...

(sorry the formatting got kinda fucked... copy/paste from a text doc I worked this up in_
It would be more effective to attack it from the Ideal Gas Law from which Boyle is derived (ideal states that PV= nRT... hence for situation 1, P1V1 = nR1T1.... keep n1 and T1 the same as n2 and T2, which is an assumption under Boyle... ergo n1RT1 = n2RT2 ergo P1V1 = P2V2...)
P = systemic pressure
V = container volume
n = number of atoms of gas expressed in moles
R is a constant used to balance the equation
T is temperature expressed in Kelvin scale
You asked for effective force... fluid dynamics and the laminar/turbulent flow associate with the force aren't my forte, but I would imagine that they would be linearly proportional with the system pressure (eg double the pressure, double the force)
if we assume that, we need to start by rearranging the equation for P (or at least I would). PV = nRT implies that P = nRTV^-1
Systemic biology remains constant... (the normal colonic expansion/contraction would varies based on the controlling muscles, which go unaffected by MRE consumption)... thus regard V as a constant.
We're left with two random variables on the right side... n and T. I would estimate that T would increase by 5-15K dependent on MRE consumed (ie... pork rib would be lower, closer to 5... chili mac with crushed red pepper would push a 25k increase - a nice solid couch-burner)
While one could argue that other foods (a good Indian curry) can give a good burn on exit... a solid temp increase due to MRE is (although not scientifically measured and verified, I'm basing this on WAG... if anyone has hard data, please speak up)
Normal body temp is 37 deg C, also known as 310k. Hence T[MRE]/T[norm] is 1.05, or a 5% increase.
Next is moles of gas... this is much harder to verify and will vary based on physiology. Personally, I would estimate a triplicate increase in gas production. But given the wide sigma on this variable, we'll conservatively estimate a 50% increase. Thus we move forward with the assumption that n{MRE] = 1.5*n{norm].
Thus the final expression of the ideal gas laws is as follows...
P[norm] = n[norm]*R*T[norm]*V^-1
P{MRE} = n{MRE]*R*T{MRE}^-1... substitution gives us P[MRE} = 1.05*n[norm]*R*1.5*T{norm]*V^-1 = 1.57*n{norm]*R*T[norm]*V^-1
Force through a fluid is defined as the gradient function of pressure divided by volume... given that I do not have hard data proving what P[norm] (ie unassisted fart pressure) is... I cannot put a hard number on this variable outside of modeling equations.
[Note that both of these effects may be achieved by foods other than MRE, but are usually not co-located.... if your diet is high inIndian food AND beans... your mileage may vary)]