When fuel is burned in a cylinder equipped with a piston, the volume expands from 0.255 l to 1.45 l against an external pressure of 1.02 atm. in addition, 875 j is emitted as heat. what is the de for the burning of the fuel?

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.

the ideal gas law equation is as follows

pv = nrt

where p - pressure

v - volume

n - number of moles

r - universal gas constant

t - temperature

so if the pressure, volume and temperature are already known

we are left with n and r

since r is the universal gas constant that has a known fixed value then r too is known

so we are left with 'n'

once we know temperature volume and pressure

we can find the number of moles of gas present using the ideal gas law equation

this is not my own answer, this is an answer for the same question by the user blahblahmali. i do not claim ownership of this account.

the answer your looking for is c).