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b] 200 ml of a gas 'X' is collected at 5 atmosphere pressure. If the temperature remains constant, calculate the volume of the Gas at 152cm. pressure of Hg
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Boyle’s law states that “The absolute pressure exerted by a given mass of an ideal gas is inversely proportional to the volume it occupies if the temperature and amount of gas remain unchanged within a closed system.”This can formulaically written as
[math]\boxed{P_1V_1=P_2V_2} \tag*{}[/math]
Atmospheric pressure is 1 ATM
Given volume of gas is 200 ml
New pressure is 5 ATM
Plugging in the values in the formula ,we get
[math]1ATM \times 200ml= 5ATM \times \chi ml \tag*{}[/math]
[math]\chi ml=\frac{1ATM \times 200ml}{5ATM}\tag*{}[/math]
[math]\chi ml=40 \tag*{}[/math]
[math]\chi=40 ml \tag*{}[/math]
The volume of the gas after compression to 5 atmospheres is 40 ml.
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