(1). Simon has a piece of equipment called a scanning tunneling microscope that

Question

(1). Simon has a piece of equipment called a scanning tunneling microscope that allows him to image

surfaces with atomic resolution. The microscope works inside an ultra-high vacuum chamber, at a

pressure of 10^-12 atmospheres, which ensures that experiments are done in an extremely clean

environment. If the volume of the chamber is 0.850 m^3, and the temperature is 18.0 degrees Celsius:

(a) How many moles of air are contained inside the chamber when the microscope is working?

(b) How does this compare to the number of moles of air inside the chamber at atmospheric pressure?

(c) What is the mass of the air in the chamber at atmospheric pressure?

(2). An ideal monatomic gas is compressed adiabatically from an initial volume Vi to a final volume Vf. During this process, the pressure depends on the volume according to the equation P = Pi(Vi/V)^(5/3).

(a) Derive an expression for the work done.

(b) If Vi = 500 litres and Vf = 200 litres, and the gas was initially at atmospheric pressure, find a numerical value for the work done in the compression.

(c) What is the change in internal energy of the gas in part (b)

____________________________________

If someone could help me with the working for these?

Explanation / Answer

a)PV=NRT

N=P*V/(R*T)=10^-12*0.850/(8.314*291)=10^-12/(2846.322) moles

at atmospheric presssure P=1 so the N will be 0.00035 moles

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

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