A gas expands in volume from 35.6 mL to 70.6 mL at constant temperature. What is the work done (in joules) if the gas expands against a constant pressure of 3.2 atm?
1 Answer
Oct 1, 2017
Explanation:
As the gas expands, the gas does work on the environment.
#W_"gas"=int_(V_i)^(V_f)"P dV"#
#=>W_"gas"=PDeltaV#
#=>color(blue)(W_"gas"=P(V_f-V_i))#
We are given:
#|->P=3.2" atm"=324240" Pa"# #|->V_i=35.6" mL"=3.56xx10^-5" m"^3# #|->V_f=70.6" mL"=7.06xx10^-5" m"^3#
Substituting these values into our equation for work:
#W_"gas"=(324240" Pa")(7.06xx10^-5" m"^3-3.56xx10^-5" m"^3)#
#=>=color(blue)(11.4"J")#
