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Review Pt 1 - Solutions

# Review Pt 1 - Solutions - Review Problems(1 Calculate the...

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Review Problems (1) Calculate the coe cient of density expansion for a material of volume coe cient of expansion β ; meaning ρ ρ 0 (1 + γ T ), what is γ ? (2) (Problem 18-49) Calculate the average number of collisions a molecule in an ideal gas makes per second, called the collision frequency , f , in terms of N , V , T , m and r (the mass and radius of the molecules). (3) A rod of cross-sectional area A and length l has its left end held at constant temperature T 1 and its right end held at T 2 < T 1 . If the conductivity varies with distance from the left end, x , according to the relationship k = x/R + k 0 ( R and k 0 are positive), what is the steady-state heat flow, H , through the rod? (4) A black-body sphere of radius r , mass m , specific heat c and initial temperature T 0 is losing heat due to radiation. What is the temperature of the sphere as a function of time? Does the sphere ever reach absolute zero? (5) (Problems 20-49, 20-79) We know that thermodynamic processes can be repre- sented on a PV diagram (when they are reversible) but they can also be repre- sented on a TS diagram (temperature-entropy diagram). (a) Draw a TS diagram for a Carnot cycle. (b) What does the area within the curve represent? (c) Deter- mine the slope of the tangent to the curve on a TS diagram for a constant volume process involving an deal gas of n moles with constant-volume molar specific heat C V for some value of temperature T .

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Review Pt 1 - Solutions - Review Problems(1 Calculate the...

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