Step 1
Gas is assumed to be ideal so it is applied:
[tex]p\text{ x V = n x R x T}[/tex]
where,
p = pressure
V = volume
n = number of moles
R = gas constant
T = absolute temperature
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Step 2
Information provided:
p = 568.15 kPa
V = 77.082 L
n = 4.6854 moles
T = unknown
Information needed:
R = 8.3144 L kPa/mol K (due to the units provided here)
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Step 3
From step 1, T is found as follows:
[tex]\begin{gathered} \frac{p\text{ x }V}{n\text{ x R}}=\text{ T} \\ \frac{568.15kPa\text{ x 77.082 L}}{4.6854moles\text{ x 8.3144 L kPa/mol K }}=\text{ 1124.2 K} \end{gathered}[/tex]
Answer: T = 1124.2 K
