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
MathFact-orials.blogspot.com
Nov 27, 2016

#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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