The volume V of gas varies inversely as the pressure P on it. The volume of a gas is 200 cm^3 under a pressure of 21 kg/cm^2. What will it's volume under a pressure of 30/kg/cm^2?

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The volume V of gas varies inversely as the pressure P on it. The volume of a gas is 200 cm^3 under a pressure of 21 kg/cm^2. What will it's volume under a pressure of 30/kg/cm^2?

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Answer 1 · 2016-10-27T20:04:06

140 $c m^{2}$ $cm^2$

Explanation:

Boyle's law states that for a fixed mass of gas at constant temperature, the absolute pressure and the volume of a gas are inversely proportional.
$p 1 \cdot v 1 = p 2 \cdot v 2$ $p1*v1 =p2*v2$

So,
$p 1 \cdot v 1 = p 2 \cdot v 2$ $p1*v1 =p2*v2$
21 kg/ $c m^{2}$ $cm^2$ × 200 $c m^{3}$ $cm^3$ = 30 kg/ $c m^{2}$ $cm^2$ × v2

v2 = 140 $c m^{2}$ $cm^2$

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The volume V of gas varies inversely as the pressure P on it. The volume of a gas is 200 cm^3 under a pressure of 21 kg/cm^2. What will it's volume under a pressure of 30/kg/cm^2?

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