Answer: The new temperature is 4768 K.
Explanation:
Given: [tex]T_{1}[/tex] = 298 K, [tex]V_{1}[/tex] = V, [tex]P_{1}[/tex] = P
[tex]T_{2}[/tex] = ?, [tex]V_{2}[/tex] = 4V, [tex]P_{2}[/tex] = 4P
Using the combined gas law formula as follows.
[tex]\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}}[/tex]
Substitute the values into above formula as follows.
[tex]\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}}\\\frac{P \times V}{298 K} = \frac{4P \times 4V}{T_{2}}\\T_{2} = 4768 K[/tex]
Thus, we can conclude that the new temperature is 4768 K.
