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- Homework Statement
- 7) Figure 15.5 shows a 50 kg lead cylindrical piston which floats on 0.37 mol of compressed ideal air at 30°C. How far does the piston move if the temperature is increased to 300°C ?

- Relevant Equations
- pV=nRT

A=pi* r^2

My attempt is:

__Initial temperature:__

p=F/A; (50 *9.8) / (pi * 0.05^2); p = 62389 Pa;

pv1=nRT1; v1= (nRT1)/p; v1=(0.37*8.31*303)/62389; v1=0.01493m^3;

v1=h1*A; h1= 1.9m;

__Final temperature:__

pv2=nRT2; v2=(nRT2)/p;

h2*A=(nRT2)/p; h2 = (nRT2)/pA;

h2=(0.37*8.31*573)/(62389*0.00785); h2 = 3.6 m;

change in h = h2-h1; 3.6 - 1.9 = 1.7m= 170 cm.

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