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Answer :

To find the temperature of the gas we can use the ideal gas law:

[tex]PV=nRT[/tex]

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:

[tex]\begin{gathered} (4)(7.5)=(1.5)(0.08205746)T \\ T=\frac{(4)(7.5)}{(1.5)(0.08205746)} \\ T=243.73 \end{gathered}[/tex]

Therefore the temperature is 243.73 K