A gas at a volume of V 0 in a container at pres... - JAMB Physics 2021 Question
A gas at a volume of V\(_{0}\) in a container at pressure p\(_{0}\) is compressed to one-fifth of its volume. What will be its pressure if the magnitude of its original temperature T is constant?
A
\(\frac{p_{0}} {5}\)
B
\(\frac{4p_{0}}{5}\)
C
p\(_{0}\)
D
5P\(_{0}\)
correct option: d
p\(_{1}\) = P\(_{0}\), V\(_{1}\) = V\(_{0}\), V\(_{2}\) = \(\frac{1}{5}\)V\(_{0}\) P\(_{2}\) = ?
P\(_{1}\)V\(_{1}\) = P\(_{2}\)V\(_{2}\)
P\(_{2}\) = \(\frac{P_{1}V_{1}}{V_{1}}\)
= \(\frac{\not P_{o}V_{o}}{\frac{1}{5}P_{o}}\)
= 5\(\not P_{o}\)
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