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Ten dm^(3) of hydrogen under 1 bar press...

Ten `dm^(3)` of hydrogen under 1 bar pressure are contained in a cylinder which has a movable piston. The piston is moved in until the same mass of gas occupies `2 dm^(3)` at the same temperature. Find the pressure in the cylinder.

Text Solution

Verified by Experts

From the given data : `P_(1) = 1 "bar"` , `P_(2) = ?`
`V_(1) = 10 dm^(3)` , `V_(2) = 2 dm^(3)`
Since temperature is constant, Boyle's Law can be applied
`P_(1)V_(1) = P_(2)P_(2)` or `P_(2) = (P_(1)V_(1))/(V_(2))` or `P_(2) = ((1 "bar")xx(10 "dm"^(3)))/((2 "dm"^(3))) = 5` bar.
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