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One mole of an ideal monoatomic gas initially at 300 K is expanded from an initial pressure of 10 atm to a final pressure of 1 atm. The molar heat capacity for constant volume for the gas is Cv = 3/2 R . Calculate ?U, ?H, q, w, and the final temperature (Tf) for each of the following paths: (a) An isothermal reversible expansion (b) An expansion against a constant external pressure of 1 atm in a thermally isolated (adiabatic) system. (c) An expansion against zero external pressure (against a vacuum) in an adiabatic system.
For unidirectional carbon/epoxy tape at a 60% fiber volume fraction, calculate E11 and E22. Given Ef= 211 GPa and Em =10 GPa. Calculate the fiber weight fraction. Given pf=1.95 g/cm3 and pm =1.3 g/cm3.
A ballon is tethered at a height of 16.8 m above the ground by three cables. if the tension in highlighted cable is 60 N , determine the vertical force exerted by the balloon at the base of the balloon basket.
Using the Gumbel probability function, estimate the probability that a maximum 24 hour depth in any year will exceed 160 mm. What is the probability that the maximum 24 hour depth will exceed 125 mm
Water in a pip has a pressure of 22.1 lb/ft2. What is the pressure head?
A storage pile of crushed rock is 100ft by 100ft square at its base and 50 ft by 50 ft square on the top. The pile is 25 ft high. What is the volume of rock in the rock pile
A concentrated moment is applied to the free end. Determine the maximum bending stress on the outside surface of the cylinder and the maximum bending stress on the inside surface of the cylinder.
Two large water reservoirs are connected by 8,000 ft of schedule 40 steel pipe. The level of one reservoir is 500 ft above the level of the other
Describe a dynamic programming algorithm to find an independent set of T such that the sum of numbers of nodes in the set is the largest among all possible independent sets of T.
Collar A is dropped 30 inches onto collar B, which is resting on a spring of constant k= 4 lb/in. Assuming perfectly plastic impact (coefficient of restitution e=0), determine the maximum deflection of collar B.
A river is 6m deep. The riverbed material has a saturated unit weight of 19.5kN/m3. What is the effective vertical stress 12m below the water surface?
Find the functionT(t) by solving this IVP. Use either the method of solving separable or of solving linear DEs. Include k in your calculations as an initially unknown parameter. (b) After 10 minutes the temperature of the milk has risen to 50?F.
A saturated soil has a unit weight of 120 pcf and a water content of 32.5%. Determine the void ratio and specific gravity of the soil.
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