hi, i am having trouble with this problem:(adsbygoogle = window.adsbygoogle || []).push({});

A cylinder with a diameter of 5.04 cm has a movable piston attached to a horizontal spring. The cylinder contains 1.40 liters of an ideal gas at 20.9°C and 0.99 atm pressure. Under these conditions, the spring is unstretched. The temperature of the gas is increased to 95°C and it is found that the spring compresses 3.41 cm. Determine the spring constant k.

I am not sure how to relate the change in pressure with a spring constant. So far, I tried finding the new pressure using (P1*V1)/(T1) = (P2*V2)/(T2) like this:

(.99atm*1.4L)/(273.15+20.9) = (P2*1.4L)/(273.15+95)

and got P2 = 1.239atm

How can I use this to find the spring constant? I tried using the eq. P=F/A but then I didn't know the area of the cylinder to use.

Could anyone please help me understand this problem better?

Thanks!!

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# Pressure and spring constant problem

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