If the pressure on a gas sample is tripled and absolute temperature is quadrupled, by what factor will the volume of the sample change?

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If the pressure on a gas sample is tripled and absolute temperature is quadrupled, by what factor will the volume of the sample change?

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Answer 1 · 2016-11-27T12:54:02

$V_2=4/3$

Explanation:

The relationship between pressure, volume, and temperature can be expressed as:

$(PV)/T$

and we can compare one state to another by this expression:

$(P_1V_1)/T_1=(P_2V_2)/T_2$

In this case, we can say that $P_1, V_1, T_1$ are all equal to 1 and have the pressure triple so that $P_2=3$ and the temperature quadruple so that $T_2=4$ and see what it is that $V_2$ will equal:

$((1)(1))/1=((3)V_2)/4$

$1=3/4V_2$

$(1)color(red)(4/3)=(3/4)(V_2)color(red)(4/3)$

$V_2=4/3$

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If the pressure on a gas sample is tripled and absolute temperature is quadrupled, by what factor will the volume of the sample change?

1 Answer

Explanation:

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