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N(2) is found in a litre flask under 100...

`N_(2)` is found in a litre flask under `100 k Pa` pressure and `O_(2)` is found in another `3 litre` flask under `20 K Pa` pressure. If the two flask are connected, the resultant pressure is

A

`365 kPa`

B

`420 kPa`

C

`265 kPa`

D

`310 kPa`

Text Solution

Verified by Experts

The correct Answer is:
C

According to Boyle's law ,
`p_(i)V_(i) = p_(f)V_(f)" "(I = "initial" , f = "final")`
For `N_(2)` gas ,
`(1000 kPa) (1 L) = p_(t) (1 L + 3 L)`
`:. P_(f) = ((100 kPa)(1L))/(4L) = 25 kPa`
For `O_(2)` gas ,
`(320 kPa) (3L) = p_(f) (4L)`
`:. p_(f) = ((320 kPa)(3L))/((4L))`
`= 240 kPa`
Total pressure `= 25 kPa + 240 kPa`
`= 265 kPa`
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