To find the temperature of the gas we can use the ideal gas law:
![PV=nRT](https://img.qammunity.org/2023/formulas/physics/high-school/ns6tfcyfrork1utxo0g9xitf4bxlxstazf.png)
where P is the pressure, V is the volume, n is the number of moles of the gas, R is the unirversal gas constant (0.08205746 L atm/ mol K) and T is the temperature.
Plugging the values given into the equation we have:
![\begin{gathered} (4)(7.5)=(1.5)(0.08205746)T \\ T=((4)(7.5))/((1.5)(0.08205746)) \\ T=243.73 \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/92wklnfr9w0g8bpznrdyavopdnwxgz824r.png)
Therefore the temperature is 243.73 K