Molecular Physics | Thermodynamics Answers

 The height of a cylindrical tank, containing 15 lb of gas at 70 psia and 115 Farenheit, IS TRIPLE ITS DIAMETER; the gas constant is R = 45 ft lbf/lbm R. find.

a) the tankdiameter in ft.

b)the tank height in ft.

5 cubic meter tank contains chlorine at 250 kPa and 30 degrees Celsius after 2.5 kg of chlorine has been used.

Determine: 

(a) the original mass of chlorine in the tank in kg

(b) the pressure (kPa) of chlorine in the tank if the original temperature was 315K

A reservoir contains 2.83 cubic meter of CO at 6895 kPa and 23.6 degrees C. A cylindrical tank with h=1.5D is filled from the reservoir to a pressure of 3697 kPa and a pressure of 3697 kPa and a temperature of 15.4 degrees C, while the pressure and temperature in the reservoir decreases to 6205 kPa and 18.3 degrees C respectively.a) the total mass of CO transferred to the tank in kg, b) the total volume of the tank in cubic meter, c) the diameter of the tank in mm

Eight boys are equally spaced about a pushball and each exerts a force upon it toward the center, as shown. Each boy in position 1, 3, and 7 exerts a force of 70 N, and the rest of the boys exert 50 N each. What force is needed to keep the ball at rest? *

A student has designed his own thermometer with a temperature scale called S. Here

he has marked the freezing point of water as 30 °S and the boiling point of water as

150 °S. The S scale has 130 divisions.

(a) By drawing a suitable diagram, express the relation (mathematical equation)

between 𝑇𝐶 (temperature in Celsius) and 𝑇𝑆 (temperature in S)

(b) What reading will be shown in S scale when he measures the temperature of an

object at 60°C.

Carnot cycle. Consider a Carnot engine with a monoatomic ideal gas as an operating substance (i.e. the substance that undergoes the cyclic process to convert heat into work). One property of the ideal gas is that its internal energy is related only to its temperature, s.t. U=32nRTU=32nRT. The cyclic process is Show that you will get:

η=1− τc/τh

by getting the ratio of the total work done over the total amount of heat entering the system.

 Exact differentials. Consider a function of more than two variables, F(x1,x2,...,xn)F(x1,x2,...,xn). How will the definition of the exact differential be expanded in such a case? 

6. A house wall consists of a 10 cm thick layer of brick (𝜅 = 0.68 𝑊𝑚−1𝐾

−1

), a 15 cm 

thick layer of fiberglass insulation (𝜅 = 0.038 𝑊𝑚−1𝐾

−1

), and a 1 cm thick layer of 

gypsum board (𝜅 = 0.48 𝑊𝑚−1𝐾

−1

). The interior surface temperature is 22℃ and exterior 

surface temperature is 5 ℃.

(a) What is the overall R-value of this wall?

(b) What is the heat flux through this wall?

The best leaper in the animal kingdom is the puma, which can jump to a height of 3.7 m when leaving the ground at an angle of 45°. With what speed must the animal leave the ground to reach that height?

If the rail has a cross sectional area of 30cm2, the force of compression on the railway will be