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A gas contained in a cylinder fitted wit...

A gas contained in a cylinder fitted with a frictionless piston expands against a constant external pressure or 1 atm from a volume of 5 litres to a volume of 10 litres. In doing so it absorbs 400 J of thermal energy from its surroundings. Determine the change in internal energy of system.

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Given data q = 400 J, `V_(1) = 5L , V_(2) = 10 L`
`Delta u` = q - w (heat is given to the system (+q), work is done by the system (-w)
`Delta u = q - Pd V `
= 400 J - 1 atm ( 10 - 5) L
= 400 J - 5 atm L [`:'` 1 L atm = 101 . 33 J ]
= 400 J - ` 5 xx 101 . 33 ` J
= 400 J - 506 65 J
= - 106 . 65 J .
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