By Bernard Morrill
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1-2. 8 ft-lbf/(lbm mol°R). 7 psia. 26 1-3. 73 x 10 particles/lbm mol, determine the value for k, the Boltzmann constant. What are the units of kl 1-4. A weight of 60 lbf is placed on a spring. 5 in. How much work has been done on or by the system, if we consider the spring to be the system? Is this mechanical or non-mechanical work? 1-5. A baseball pitching machine is operated by compressing a spring whose spring constant is 200 lbf/in. The ball is thrown by releasing the compressed spring. Taking the spring as the system, how much work is done in throwing the ball if the spring is initially compressed 2 in.?
14) where u0 is a constant of integration and may be set to zero to agree with the setting of the integration constant to zero in Section 1-10. 14) m a y be applied, with some c a r e , to the non-reactive gases. F o r a monatomic gas w e get good results as long as this equation is not used at extremely low t e m p e r a t u r e s . F o r a diatomic or e v e n a polyatomic permanent gas Eq. 14) will yield fair results if used in the neighborhood of room t e m p e r a t u r e , otherwise the results may h a v e a large error.
2) pdV Γ J Vi T h e integration cannot take place without a k n o w n relationship between ρ and V. A t h e r m o d y n a m i c process during which no heat is transferred is called an adiabatic process. 4) = -pdV which is valid for a perfect gas. F r o m the perfect gas law by differentiation, we get pdV+Vdp d T = mR Replacing R by the relationship given in Eq. 11) and substituting Eq. 5) into E q . 6) Vdp) = -pdV U p o n simplification and replacing CJCV get, by y, the adiabatic constant, we .
An Introduction to Equilibrium Thermodynamics by Bernard Morrill