Answer:
295.78K
Explanation:
For this question you can use the ideal gas law, which is
[tex]PV=nRT[/tex]
where P is pressure, V is volume, n is moles of substance, R is the ideal gas constant, and T is temperature.
We need to find temperature, so we need to rearrange the equation to solve for T
[tex]T=\frac{PV}{nR}[/tex]
We are given n=2.5mol, P=7.4atm, and V=8.2L. We can use the gas constant R=.08206 to find the temperature in kelvin. To do so, plug all of the values into the equation (I'll be excluding units for simplicity)
[tex]T=\frac{(7.4)(8.2)}{(2.5)(.08206)} \\\\ T=295.78[/tex]
The temperature is 295.78K. To find it in Celsius, subtract 273.
