An ideal gas undergoes an expansion between 400K to 300K. However the path is ch
ID: 841471 • Letter: A
Question
An ideal gas undergoes an expansion between 400K to 300K. However the path is chaotic, that is, not adiabatic, reversible, isothermal, at constant volume or pressure. Is the work positive, negative, zero, or not enough information and why? Is the heat positive, negative, zero, or not enough information and why? Is the process exothermic, endothermic, negative, zero, or not enough information and why? Does the proces result in a change in the disorder that is positive, negative, zero, or not enough informaton and why?
Explanation / Answer
the S I convention of thermodynamics in chemistry says
dE = Q + W
where
dE = n * Cv * dT
w = -P * dV
1) here expansion is taking place i.e. dV = +ve
hence Work done = -ve
2) here dT = (300-400) = - 100
so dE = -ve
as change in internal energy is -ve i.e. energy leaves the system, hennce heat is liberated or Q is negative
3) the process is exothermic as heat leaves the system
4) entropy is the order of diorderness
dS = - Q/T
as here Q is negative hence dS is +ve or dirderness increases
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