Respuesta :
To calculate the total internal energy change in kilojoules we need to calculate U which is equal to q + w . We know that w = P delta V where P is the pressure and V is the volume then we have that w = 45 atm * ( 6.40L - 2.80L) = 180 atm * L . Then we know that 1 atm * L = 101.325 J then we have that w = 180 * 101.325 J = 18,238.5 J . Then we have that 1 kJ = 10^3 J . Then w = 18.2385 kJ . Then we have that U = 18.238 - 68.0 kJ = -49.7615 kj since heat was released. Thus we have that the total internal energy change was -49.7615.
The total internal energy change, in the system is 49.761 kJ.
Internal energy formula is,
[tex]\rm \bold{\Delta U = Q-W}[/tex]
Where,
Q = heat transferred to the system
W= Work done by the system
we know,
[tex]\rm \bold{P\times \Delta V = W}[/tex]
where
P- pressure
V - change in volume
By solving the equation we get W = 18.238 kJ
Put the value in
U = 68 - 18.238
U = 49.761 kJ
Hence we conclude that the total internal energy change, in the system is 49.761 kJ.
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