Question

3. A certain gas was maintained at a pressure of 1500 mm of Hg. When the pressure was decreased by 450 mm of
Hg the gas occupied a volume of 800 cm3. If the temperature throughout the change remains constant, calculate
the initial volume occupied by the gas.​

Answer 1

Answer:

initial volume (v1) =?

Final volume (v2)= 800cm^3

initial pressure (p1)= 1500mm of Hg

final pressure (p2)=450 mm of Hg

by Boyle,s law

v1p1=v2p2

then,

v1×800=1500×450

=v1=1500×450÷800

=v1=843.75

Answer 2

Answer:

240cm³

Explanation:

$P_{1}=1500mm\\P_{2}=450mm\\V_{2}=800cm^{3}\\V_{1}=?$

When temperature is constant, take Boyle's gas law.

$\implies$ $P_{1}V_{1}=P_{2}V_{2}$

$\implies$ $1500×V_{1}=450×800$

$\implies$ $V_{1}=\Large\frac{450×800}{1500}$

$\implies$ $\boxed{V_{1}=240\:Cm^{3}}$

$\therefore\bold\:When\:Pressure \:increases,\:volume\:decreases.$

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