Monoatomic, diatomic and triatomic gases whose initial volume and pressure are same, are compressed till their volume becomes half the initial volume.
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For an adiabatic process,

$P V^{\gamma}=$ constant

or

$\frac{P_{1}}{P_{2}}=\left(\frac{V_{2}}{V_{1}}\right)^{\gamma}$

or

$P_{2}=2^{\gamma} P_{1}$

Now, for a monoatomic gas, the value of $\gamma$ is the highest

Thus, for the same change in volume, the monoatomic gas will have the maximum pressure.

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