A system consisting of 1 mole of an ideal gas undergoes an isothermal expansion at `25^(@)` from 1.0 bar to a lower pressure while generating 100 J of work. What is the final pressure of the system if the external pressure of the system is constant of 0.1 bar?A. 1.23 barB. 0.712 barC. 0.958 barD. 0.664 bar

A system consisting of 1 mole of an ideal gas undergoes an isothermal

1.	A system consisting of 1 mole of an ideal gas undergoes an isothermal expansion at `25^(@)` from 1.0 bar to a lower pressure while generating 100 J of work. What is the final pressure of the system if the external pressure of the system is constant of 0.1 bar?A. 1.23 barB. 0.712 barC. 0.958 barD. 0.664 bar
Answer» Correct Answer - B Given, `p_(ext)=0.1," bar ",R=8.314JK^(-1)mol^(-1),T=298K,` `p_(1)=1" bar",p_(2)=?` `W=-p_(ext)(V_(2)-V_(1))` `=-p_(ext)((nRT)/(p_(2))-(nRT)/(p_(1)))` `=-nRT" "p_(ext)((1)/(p_(2))-(1)/(p_(1)))` or `-100=-1xx8.314xx298xx0.1((1)/(p_(2))-(1)/(1))` `therefore p_(2)=0.712` bar

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