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Consider steady, one-dimensional compressible flow or a gas in a pipe or diameter $1\; m$. At one location in the pipe, the density and velocity are $1\; kg/m^{3}$ and $100\; m/s$, respectively. At a downstream location in the pipe, the velocity is $170\; m/s$. If the pressure drop between these two locations is $10$ $\text{kPa}$, the force exerted by the gas on the pipe between these two locations is ________________$N$.

  1. $350 \pi^{2}$
  2. $750 \pi$
  3. $1000 \pi$
  4. $3000$
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