Afuel-air mixture is placed in a cylinder fitted with a piston. the original volume is 0.290-l. when the mixture is ignited, gases are produced and 865 j of energy is released. to what volume will the gases expand against a constant pressure of 635 mmhg, if all the energy released is converted to work to push the piston?

the answer is 10.5 l

10.5 L

Explanation:

From the question,

Work done in pushing the piston back = Energy released by the system = w = - 865 J   (- sign as the heat is being released)

The expression for the calculation of work done is shown below as:

Where, P is the pressure

is the change in volume

From the question,  

= 0.290 L

P = 635 mmHg

Also, P (atm) = P (mm Hg) / 760

Pressure = 635 / 760 = 0.8355 atm

So,

Also, 1 J = 1/ 101.325 atmL

So,  

Solving for , we get that:-