Lara C.

asked • 02/10/18

Math is really hard and I need help!

The volume V of a given mass of gas varies directly to the temperature T and inversely as the pressure P. If V=298.7 in^3 when T= 320degrees and P= 15lbS/in^2, what is the volume when T =100 and P=20lbs/in^2? 

1 Expert Answer

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Mahdi G. answered • 02/10/18

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Arturo O.

Before you substitute temperatures, make sure you use temperatures in an absolute scale (Kelvin or °Rankine).  Otherwise, the relations in the problem statement are not valid.
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02/10/18

Mahdi G.

As long as units at both sides of equation are similar (degrees Celsius, Kelvin, Rankine, ....) it does not matter which unit we use.
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02/10/18

Arturo O.

The temperatures on both sides of the equation have to be in an absolute scale.  If not, the ideal gas relations in the problem statement are not valid.  The relation
 
P1V1/T1 = P2V2/T2
 
is valid only if T1 and T2 are absolute temperatures.  You can look this up under ideal gas relations in physics, chemistry, or engineering books and verify this.  
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02/10/18

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