Mastering Physics: Homework 14 Google Chrome https://session.masteringphysics.co

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Mastering Physics: Homework 14 Google Chrome https://session.masteringphysics.com/myct/itemView?assignmentProblemlDJ58728227 Virginia Tech Physics 2305 Spring 2016 Homework 14 Item 27 Item 27 Part A The cylinder in the figure (Figure has a moveable piston attached to a spring. The How far is the spring compressed if the gas temperature is raised to 130 oC? cylinders cross-section area is 10 cm it contains 0.0049 mol of gas, and the spring Express your answer to two significant figures and include the appropriate units. constant is 1500 N/m. At 21 o C the spring is neither compressed nor stretched m. Submit My Answers Give up Incorrect, Try Again, 7 attempts remaining Figure 1 of 1 1500 N/m A 10 cm: g x Restore Down Signed in as Anna Kathryn Brown l Help l cose Resources previous l 27 of 31 l next, erovide Feedback Continue 8:52 PM 5/6/2016

Explanation / Answer

let the spring be compressed by amount x
P1V1/T1 = P2V2/T2
1.01*10^5 * V / (294.16) = P2* (V + Ax)/(403.16)
also, P2*A = kx
and V = 22.4*0.0049 = 0.109 l = 0.00010976 m^3
0.010129 = x*(0.00010976 + 10*10^-4x)
0.001x^2 + 0.00010976x - 0.010129 = 0
x = 3.1282021249851537 m

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