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CBSE
Chemistry
Grade 11
The Gaseous State
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Answer
What volume will a gas occupy at 740mm pressure which at 1480 mm occupies 500 cc? Temperaturebeingconstant.
Last updated date: 30th Dec 2022
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Answer
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Hint: Boyle in the mid 1600’s observed that the product of the pressure and volume of a gas are observed to be nearly constant provided that the temperature is kept constant. This is always true in the case of an ideal gas.
P×V=constant
This relationship between pressure and volume of an ideal gas is known as the Boyle's Law.
Complete answer:
Since it is given in the question that temperature can be assumed as constant, we can apply Boyle’s Law.
According to Boyle's Law we know that:
⇒P×V=constant
We can rewrite this as
⇒P1×V1=P2×V2
Where P1 is the pressure at the volume V1
P2 is the pressure at the volume V2
Thus from the given question we can say that:
P1 = 1480 mm
V1 = 500 cc
P2 = 740 mm
V2 = x
Thus we can rewrite the equation and substitute the above values and obtain the equation given below:
⇒V2=P1×V1P2
⇒V2=1480×500740
⇒V2=1000cc
Thus the volume of gas occupied at a pressure of 740 mm is 1000 cc.