SOLUTION: The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give V=253.5 in^3 when T=390 degrees a

Algebra.Com
Question 977574: The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give V=253.5 in^3 when T=390 degrees and P= 20 lb/in^2. What is the volume on this device when the temperature is 400 degrees and the pressure is 10 lb/in^2?
Found 2 solutions by Cromlix, Edwin McCravy:
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Hi there,
The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P.
V = kT/P
To find k use values given.
253.5 = k390/20
k = (253.5 x 20)/390
k = 13
Formula now:-
V = 13T/P
V = (13 x 400)/10
Volume = 520 in^3
Hope this helps:-)
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
1. Write k equation.
2. Substitute set of given values of all variables.
3. Solve for k
4. Substitute k in k equation.
5. Substitute set of all but one given variable.
6. Solve for the value of the missing variable.

1.

A measuring device is calibrated to give V=253.5 in^3 when T=390 degrees and P= 20 lb/in^2.
2.


3.


Multiply both sides by 2





4.

What is the volume on this device when the temperature
is 400 degrees and the pressure is 10 lb/in^2
5.


6.
in³

Edwin
RELATED QUESTIONS

The volume V of a given mass of gas varies directly as the temperature T and inversely as (answered by ikleyn)
The volume V of a given mass of gas varies directly as the temperature T and inversely as (answered by josgarithmetic)
the volume V of a given mass of a gas varies directly as the temperature T and inversely... (answered by Alan3354)
The volume V of a given mass of gas varies directly as the temperature T and inversely as (answered by marcsam823)
The volume V of a given mass of gas varies directly as the temperature T and inversely as (answered by Mathtut)
The volume, V, of a given mass of a gas varies directly as the temperature, T, and... (answered by Theo)
The volume V of a given weight of gas varies directly as the absolute temperature T and... (answered by greenestamps)
The volume V of a given mass of a gas varies kirectly as the temperature T and inversely... (answered by fractalier)
the volume V of a given mass of gas varies directly as the temperature T and inversely as (answered by josgarithmetic)