Compression of a gas in a compressor is nearly an adiabatic process.

So, by using $p_{\text {in }}^{1-\gamma} \cdot T_{\text {in }}^\gamma=p_{\text {out }}^{1-\gamma} \cdot T_{\text {out }}^\gamma$

We get, $(0.28)^{1-\gamma}(233)^\gamma=(1)^{1-\gamma}(T)^\gamma$

Here, for air, $\gamma=14=\frac{7}{5}$

Hence, $T=(233)(0.28)^{-2 / 7}=\frac{233}{(0.28)^{2 / 7}}$

This temperature is much higher than $298 \,K$ or $25^{\circ} C$.

So, an air-conditioner is needed to cool the air coming out of compressor.