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5 May, 18:42

We are all familiar with the general principles of operation of an internal combustion engine: the combustion of fuel drives out the piston. It is possible to imagine engines that use reactions other than combustions, and we need to assess the work they can do. A chemical reaction takes place in a container of cross-sectional area 100.0 cm^2; the container has a piston at one end. As a result of the reaction, the piston is pushed out through 10 cm against a constant external pressure of 100 kPa. Calculate the work done by the system in Joules.

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  1. 5 May, 22:35
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    The work done by the system is 100 J

    Explanation:

    Given details

    The cross sectional area of the of the container is A = 100.0 cm^2 = 0.01m²

    The total distance pushed by the piston is d = 10 cm = 0.10m

    The total external pressure by which piston pushed is P = 100 kPa

    From above data, the following relation can be used to determine the change in volume of the container

    ∆V = A * d

    ∆V = 0.01 * 0.10 = 0.001 m³

    By using the following relation, the work done by the system is calculated as;

    Work done W = P * ∆V

    W = 100 * 0.001 = 0.1 kJ = 100 J

    The work done by the system is 100 J
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