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laser123
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Homework Statement
Compute the change in internal energy, ΔU, and the final temperature, Tf, when 1 mole of an ideal, diatomic gas is compressed adiabatically to 89.700% of its initial volume. The starting point is 22.500°C and 16.100 L. (Assume that the vibrational degree of freedom stays inactive during the process.)
Homework Equations
eq. 1. W=NkTln(Vi/Vf)
eq. 2. Δu=Q+W
eq. 3. u=(f/2)NkT
The Attempt at a Solution
Okay since it's adiabatic I made the assumption Δu=w. So i used the abouve equation and solved for w=(6.02)(1.381)ln(16.1/14.447)=267.175 J
So i manipulate eq 3 and get u=(f/2)Nk(Tf-Ti) and (2u)/fNk+Ti=Tf=12.8548+295.65=308.505K. This the computer says is wrong?
Because when i find the change in Temp i plan on using du=(f/2)NkdT for the change in thermal energy