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\(_{0}\)

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Explanation

Correct Option
d

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Discussions (11)

Youngergprof
3 years ago

i have a little contribution to question, Which I think is more easier to tackle the Question,,.
since Boy's law stated that PRESSURE IS INVERSELY PROPORTIONAL TO VOLUME
which means if the Pressure increases , Volume will definitely decreases. Vice versa,,

then the question stated that the new volume decreases by 1/5 of its original volume,,
therefore the new pressure should be otherwise. i.e new pressure will increase by 5 of its original pressure.

mathematically
V2= V0/5 ( decrease by 5) then.
P2= P0 x 5 (increase by 5)
Note "Inversely proportional"...

if we understand it vary well, i believed, at a glance at the question, we can be able to choose the right option without touching our pen ๐Ÿ–Š๏ธ๐Ÿ–‹๏ธ

please what's your view about it,, Thanks

DivineAshiwel
1 year ago

The answer is 5 peanut๐Ÿ˜‘

Jadesola2006
4 years ago

The answer are correct but the explanation is sometimes blurry and non understandable ๐Ÿ˜ซ๐Ÿ˜ซ

Odemosad
1 year ago

Correct Option D. 5Po โœ…

DominicAfam
1 year ago

Given,
Vo
Po
V2=1/5Vo
P2=? ๐Ÿ˜ญ

V1P1=V2P2
Applying this formula to this question, we have

VoPo=1/5ร—Voร—P2
Vo will cancel out from both sides leaving only
Po=1/5ร—P2
Cross multiply
We then have
5Po=P2

That is,
P2=5Po๐Ÿ˜‚

โœŒ๏ธ

Jadesola2006
4 years ago

I feel there was a typo error in the em the solution becos if p0v0/p0/5 then the answer should be 5v0 but there is written as 5p0 so please check again. I mean no insults please this is just my suggestion no bad comments

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