Be sure to show your work on all questions circle your final answers and label w

Question

Be sure to show your work on all questions circle your final answers and label with appropriate units. You are allowed to use your I page "cheat sheet" (8.5 by I1 inch paper writing on one side) and you will need a scientific calculator. 125 points] All parts of this question pertain to a monatomic ideal gas, initially at T-300K and atmospheric pressure (1.01 105 Pa). There is 1 mole of this gas is inside a cylinder with a sliding piston and interior diameter of 20cm. The piston can slide with negligible friction and without allowing any gas to enter or escape. For ideal gas calculations use R 8.314 J/mol-K 1) sliding piston diameter 20cm Initial height Ideal gas h. a What is the initial height of the piston? b. Now imagine that burner is placed under the gas cylinder and delivers heat to the gas. While heat is being delivered the piston slides upward, maintaining the gas at constant pressure. height. Calculate the work done by the gas during this isobaric expansion. After heat delivery the piston is observed to rise 20.0cm higher than its initial

Explanation / Answer

Q1.

Apply

PV = nRT

V = nRT/P

V = 1*8.314*300/(1.01*10^5)

V = 0.02469 m3

V = h*A = h*(PI/4)(D^2)

0.02469 =  h*(3.1416/4)(0.2^2)

h = 0.02469 /((3.1416/4)(0.2^2))   

h= 0.78590 m = 78.59 cm

b)

P = constant

Trise = 20 cm

h new = 78.59 +20= 98.59 cm = 0.9859 m

New V

V = h*A = 0.9859 *A

A = PI/4*D^2 = (3.1416/4)(0.2^2) = 0.031416 m2

Vnew= 0.9859 *0.031416 = 0.030973 m3

Calculate Work by gas

W = -P*(Vfinal - Viniitial)

W= -(1.01*10^5)(0.030973-0.02469 )

W = -634.583 J

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