A gas is compressed from an initial volume of 5.1 L to a final volume of 3.4 L under a constant pressure of 1.20 atm. During the compression, the gas releases 86 J of heat. Calculate the change in internal energy and in enthalpy.
Ans.
Initial volume = 5.1L
Final volume = 3.4L
Change in volume is
Pressure, P = 1.20 atm
1 atm = 101.3 J/L
Therefore,
Calculate work using the formula below
Heat released, q = -86J
Change in internal energy is given by
(q is negative since heat is released)
Therefore, change in internal energy = + 121J
The positive sign indicates that the internal energy increases in the system.
The change in enthalpy is
Therefore, change in enthalpy = -86J, which is the same as heat released.
The negative sign indicates that the enthalpy decrease.
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