Question #8ff5d

1 Answer
Feb 6, 2018

#sf(1.72color(white)(x)"kJ")#

Explanation:

The Ideal Gas Equation tells us:

#sf(PV=nRT)#

#:.##sf(P=(nRT)/V)#

For an isothermal process, the work done in expanding the gas is given by:

#sf(W=int_(V_i)^(V_f)P.dV)#

#:.##sf(W=nRTint_(V_i)^(V_(f)).(dV)/V)#

#sf(W=nRTln[(V_(f))/(V_i]])#

#sf(W=1xx8.314xx298xxln[0.02/0.01])#

#sf(W=1717.32color(white)(x)J)#

#sf(=1.72color(white)(x)kJ)#