SOLUTION: the volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If V=232.0 in^3 when T=290 and P=15Ib/in.^2, what is the volume when T=260

Algebra ->  Finance -> SOLUTION: the volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If V=232.0 in^3 when T=290 and P=15Ib/in.^2, what is the volume when T=260      Log On


   



Question 1120580: the volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If V=232.0 in^3 when T=290 and P=15Ib/in.^2, what is the volume when T=260 and P=20Ib/in^2?(Round to the nearest tenth)
a.116.0 in^3
b.176.0 in^3
c.146.0in^3
d.156.0in^3

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P.
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V=kT%2FP


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If V=232.0 in^3 when T=290 and P=15Ib/in.^2, ...
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THAT P should be, 15 pounds per square inch.
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k=VP%2FT

k=232%2A15%2F290
k=12
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highlight%28V=12%2AT%2FP%29
.
.