QUESTION IMAGE
Question
in a sealed container, when temperature increases:
select one:
a. pressure increases
b. pressure decreases
c. volume decreases
d. energy stays the same
Step1: Recall the ideal gas law
The ideal gas law is \(PV = nRT\), where \(P\) is pressure, \(V\) is volume, \(n\) is the amount of gas (moles), \(R\) is the ideal gas constant, and \(T\) is temperature.
Step2: Analyze the situation of a sealed container
In a sealed container, \(n\) (amount of gas) and \(V\) (volume of the container) are constant. So, the equation becomes \(P=\frac{nR}{V}T\).
Step3: Determine the relationship between \(P\) and \(T\)
Since \(\frac{nR}{V}\) is a constant (because \(n\), \(R\), and \(V\) are constant), \(P\) is directly proportional to \(T\). When \(T\) (temperature) increases, \(P\) (pressure) will increase.
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A. Pressure increases