at constant temperature fixed amount of O2 gas having pressure 200 milii bar is filled in 200 ml bottle if the same amount of O2 gas is filled in 2 litre bottle find its pressure
Answers
Answer:
According to Boyle's law, at constant temperature,
PV=constant
∴PV=P
′
V
′
whereas,
P and V are partial pressure and volume of the gas respectively and P
′
is the partial pressure of the same gas at different volume.
Therefore,
For N
2
For O
2
P=700mmHg
V=200mL
P
′
=p
N
2
V
′
=1L=1000mL
From eq
n
(1), we have
700×200=p
N
2
×1000
⇒p
N
2
=140 mmHg P=720mmHg
V=250mL
P
′
=p
O
2
V
′
=1L=1000mL
From eq
n
(1), we have
720×250=p
O
2
×1000
⇒p
O
2
=180 mmHg
According to Dalton's law of partial pressure, total pressure of the mixture is equal to the sum of partial pressure of the individual gases.
∴p
mix.
=p
N
2
+p
O
2
⇒p
mix.
=(140+180)mmHg=320 mmHg
Hence, the final pressure of the mixture in mm will be 320.
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