a gas occupies a volume of 255ml at 3.2atm pressure at 27degree C. calculate pressure needed to reduce its volume to 160ml at 300K.
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Given info : A gas occupies a volume of 255ml at 3.2 atm pressure at 27°C.
To find : the pressure needed to reduce its volume to 160 ml at 300K.
Solution : temperature remains constant.
So we have to apply Boyle's law,
P₁V₁ = P₂V₂
Here, P₁ = 3.2 atm
V₁ = 255 ml
V₂ = 160 ml
and P₂ = ?
so, 3.2 atm × 255 ml = P₂ × 160 ml
⇒P₂ = (3.2 × 255)/(160) = 5.1 atm
Therefore the pressure needed to reduce its volume to 160 ml at 300K is 5.1 atm.
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