Consider an isothernmal cylinder and masslesskpiston assemblyinwhich ideal gas is filled . Cross sectional area of the cylinder = 1m^(2).Three massesm_(1),m_(2)and m_(3) are kept on thepiston . When m_(1) id removed , piston moves upon pointA. When m_(1) & m_(2) both are removedpiston moves upto jkpint B &when m_(1) m_(2) & m_(3) all three are removed , piston moves upto ,lpoint C. Calculatework done by the gas (in joule) when piston moves frompoint B to point C.[Given :m_(1)= 2xx 10 ^(4)kg , m_(2) = 3 xx 10 ^(4)kg , g =10 m//s^(2)]

Consider an isothernmal cylinder and masslesskpiston assemblyinwhich i

1.	Consider an isothernmal cylinder and masslesskpiston assemblyinwhich ideal gas is filled . Cross sectional area of the cylinder = 1m^(2).Three massesm_(1),m_(2)and m_(3) are kept on thepiston . When m_(1) id removed , piston moves upon pointA. When m_(1) & m_(2) both are removedpiston moves upto jkpint B &when m_(1) m_(2) & m_(3) all three are removed , piston moves upto ,lpoint C. Calculatework done by the gas (in joule) when piston moves frompoint B to point C.[Given :m_(1)= 2xx 10 ^(4)kg , m_(2) = 3 xx 10 ^(4)kg , g =10 m//s^(2)]
Answer» Solution :Initially piston is at EQ, `10^(6)=((2 xx 10 ^(4) + 3 xx 10 ^(4) + m_(3) )xx 10)/(1) + 10^(5)` `m_(3)= ((10^(6)-10^(5))/(10))- 5 xx 10^(4)= 10 ^(4)(10-1) - 5 xx10^(4)= 10 ^(4)(9-5)= 4 xx 10 ^(4) kg` since T = constant `P_(i) V_(i)= P_(B) V_(B)` `10^(6)xx 4 =(10^(5) + 4 xx10 ^(5))xx V_(B)` `V_(B)=(4XX 10^(6))/(10^(5)xx 5)=(40)/(5)= 8 lit.` ALSO, `P_(B)V_(B)=P_(C)V_(C)`lt brgt` 10^(5) xx 5 xx 8 = 10^(5)xx V_(c)` `V_(c)= 40 L` `W_(BC)= - P_(ext) (V_(C)_V_(B)) =- 10 ^(5) (40- 8 )xx 10 ^(-3) =- 3200 J` `W_(by)= 3200 J `