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Consider a sphere of radius R. It is a three-dimensional shape that is bounded by its surface area, a two-dimensional shape. The mathematical equation for the sphere is:

R2 = x2 + y2 + z2. Write the expression for volume (enclosed quantity) and the surface (bounding quantity) of this sphere.





Generalize the expression for the number of system states that you will get, Ω, for N number of six-sided dice.



 


a) 0.056m³ of air at 1.38 bar are compressed isothermally to a volume of 0.014m³. 

Determine the work energy required for the compression.


b) compare this to the work energy which would be required for an adibatic compression through the same volume ratio. For air R= 0.287KN and ➰ = 1.4


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once kg of air expand at a constant temperature from a pressure of 820 kpa and a volume of 3 m³ to a pressure of 220 kpa. determine. a. change of Internal Energy b. change of Enthalpy

one kg of air expand at a constant temperature from a pressure of 820 kpa and a volume of 3 m³ to a pressure of 220 kpa. determine.




A. Change of Internal Energy




B. Change of Enthalpy

Acetylene gas is used in industrial works such as welding metals. The


temperature needed to weld is approximately 2200°C at 1500 psia. Calculate its


density at this given temperature and pressure in kgm per cubic meter

1. How long will a bus take to travel 150 km at an average speed of

40 km/h?

2.

2. A cheetah can run at 30 m/s, but only for about 12 s. How far

will it run in that time?

3. It takes a cheetah just 3 s to reach its top speed of 30 m/s.

What is its acceleration?



For nitrogen the molar volume at STP is 0.224 and the relative molecular mass is 28.calculate the mass of on mole of nitrogen





Which is a more precise measuring tool : ruler or Vernier Caliper? Why?


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