A cylindrical tube has a length 1 m and is constructed so that while its length

Question

A cylindrical tube has a length 1 m and is constructed so that while its length is fixed, its radius can change. At room temperature (20 degree C), it is inflated with nitrogen gas until its radius is 20 cm. a. Taking the initial pressure in the tube to be the same as atmospheric pressure (10^5 N m^-2), calculate the mass of nitrogen needed to fill the tube (atomic we of nitrogen = 28). b. The tube is then placed in an oven of volume 10 m^3 that is held at a temperature of 300 degree C (and at atmospheric pressure). Calculate the radius of the tube after the temperature of the gas inside has stabilized. c. After some time baking in the oven the tube becomes rigid. It is then removed from the oven and allowed to cool to room temperature. What is the final pressure (N middot m^2) in the tube?

Explanation / Answer

Given Data:-

L =1 m

r =20 cm =0.2 m

Part-a) Pi = 1x105 N/m2

W= 28

First calculate the Volume V= A*L

V = 3.14/4 *0.22 *1

V =0.03 m3

Use PV =nRT

n = PV/RT R = 8.314 J/mol-K

= 1*105 *0.03 / 8.314 * ( 293.15)

n = 1.23

Mass of nitrogen m = 28*1.23 = 34.44 g.

SO mass of nitrogen to fil the tub eis 34.44 g.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.