The force required to compress the gas in a gas spring a distance x is given by where the constant is determined by the geometry of this device and k is determined by the gas used in the device. One such device has a constant of 200 lbf·in1.4 and k = 1.4. Determine the work, in Btu, required to compress this device from 2 in to 7 in.

Explanation:

Given relation:

Force,

where:

constant

displacement

Constant of the given device,

initial position of piston,

final position of piston,

so the net displacement:

Substituting the values in the given relation:

Now the work done :

So,

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explanation:

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