Question

A fixed mass of gas at constant temperature has a pressure of 2000 Pa and a volume
of 0.02 m3 . It is compressed until the volume is 0.005 m3 . What is its new pressure in
millimeters mercury?

Answer 1

Answer: The new pressure in millimeters of mercury is 60.

Explanation:

From the Boyles law, we have,

$P_1V_1=P_2V_2$        (1)

Where,

P₁=initial pressure of the gas

V₁=initial volume of the gas

P₂=final pressure of the gas

V₂=final volume of the gas

From the question we have,

P₁=2000Pa

V₁=0.02m³

V₂=0.005m³

By substituting the values in equation (1) we get;

$2000\times 0.02=P_2\times 0.005$

$P_2=\frac{2000\times 0.02}{0.005}$

$P_2=8000Pa$

$P_2=0.0075\times 8000$

$P_2=60\ milimeters \ mercury$

Hence, the new pressure in millimeters of mercury is 60.

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Answer 2

Answer:

The new pressure in millimeters of mercury is 60.

Explanation:

As we know from BOYLE'S LAW that

P1V1=P2V2 (1)

Where,

P₁=initial pressure of the gas

V₁=initial volume of the gas

P₂=final pressure of the gas

V₂=final volume of the gas

From the question we have,

P₁=2000Pa

V₁=0.02m³

V₂=0.005m³

By substituting the values in equation (1) we get;

$2000$×$0.2=$$P2$×$0.5$

$P2= 8000Pa$

$P2=8000$×$0.0075$

$P2= 60mm$

Hence, the new pressure in of mercury is 60mm,

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