My Notes Ask Your An expandable cylinder has its top connected to a spring with

Question

My Notes Ask Your An expandable cylinder has its top connected to a spring with force constant 2.00 x 103 N/m (see figure below). The cylinder is filled with 4.50 L of gas with the spring relaxed at a pressure of 1.00 atm and a temperature of 20.0°C. T-, 20.0 2909C2 (a) If the lid has a cross-sectional area of o.0100 m2 and negligible mass, how high will the lid rise when the temperature is raised to T ndoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit Your response is within 10% of the correct value. This may be due to rou accuracy to minimize roundoff error. cm (b) What is the pressure of the gas at Tr 2900C? X Your answer cannot be understood or graded. More Information Pa Need Help? Rexd It 11/30/2011 OType here to search

Explanation / Answer

the gas is expanding isobarically

V2/V1 = T2/T1

V2 = A2*h

v1 = 4.5 L = 4.5*10^-3 m^3

T2 = 290+273 = 563 K

T1 = 20 + 273 = 293 K

0.01*h/(4.5*10^-3) = 563/293

h = 0.865 m <<<<-------ANSWER

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pressure Pf = F/A = k*h/A

Pf = 2*10^3*0.865/0.01

Pf = 173000 Pa <<<<--------ANSWER

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