Prove the given equation, A cylinder with rigid

Prove the given equation

Reference no: EM131353890

A cylinder with rigid well-insulated walls is divided into two parts by a rigid insulating wall with a small hole in it. A frictionless, insulated piston is held against the perforated partition, thus preventing the gas that is on the other side from seeping through the hole.

The gas is maintained at a pressure P_i by another frictionless insulated piston. Imagine both pistons to move simultaneously in such a way that, as the gas streams through the hole, the pressure remains at a constant value P_i on one side of the dividing wall and at a constant lower value P_f on the other side, until all the gas is forced through the hole. (Note: this process is called a throttling process.) Prove that

U_i + P_iV_i = U_f + P_fV_f.

Reference no: EM131353890

Questions Cloud

What level of gdp will then prevail : (More difficult) In the economy considered in Test Yourself Question 3, suppose the government, seeing that it has not wiped out the deficit, keeps cutting G until it succeeds in balancing the budget. What level of GDP will then prevail?

Find the optimum flow rate for minimum plate height : a) Please use spreadsheet to construct a graph of plate height versus flow rate (u in the unit of mL/min) and find the optimum flow rate for minimum plate height. b) Also using the graph, please determine the appropriate range of the flow rate in o..

Find the value of g that would make gdp equal to 1,800 : This question is a variant of the previous problem that approaches things in the way that a fiscal policy plan ner might. In an economy whose consumption function and tax function are as given in Test Yourself Question 1, with investment fixed at ..

Describe in detail how the addition of plant residues : Describe in detail how the addition of plant residues in soil with high C:N ratio may lead to N deficiency in soils.

Prove the given equation : A cylinder with rigid well-insulated walls is divided into two parts by a rigid insulating wall with a small hole in it. A frictionless, insulated piston is held against the perforated partition, thus preventing the gas that is on the other side f..

Percent oxygen by volume : Assuming that air is 21.0 percent oxygen by volume, what volume of air in liters at 45.0 °C and 793 mmHg would be required to burn 185 g of ethanol (C2H5OH)?

Discuss the role of the sec and how sarbanes-oxley affected : List the pros and cons of the Sarbanes-Oxley as they are related to healthcare outcomes.After reading and researching the topic, please share your thoughts on why healthcare companies should incorporate the Sarbanes-Oxley process(es), or why not u..

What more members of dayone team can do to build credibility : Examine what more the members of the DayOne team can do to build credibility and improve their chances of securing the capital they need to implement the business plan.

Theoretical plates to fully separate two solutes : Consider a 0.65 m column with van Deemter parameters A=0.22 mm, B=21.7 mm mL/min, and C=0.018 mm min/mL. If it takes at least 85 theoretical plates to fully separate two solutes, what range of flow rates can be used to separate the solutes? (Pleas..

User Account

All Pages