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=162.4 in^3 when T=290 degrees a

Algebra ->  Square-cubic-other-roots -> 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=162.4 in^3 when T=290 degrees a      Log On


   

Question 1058726: 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=162.4 in^3 when T=290 degrees and P=25 lb/in^2. Write an equation to represent the situation. What is the volume on this device when the temperature is 340 degrees and the pressure is 20 lb/in2?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Direct and Inverse Variation


system%28V=kT%2FP%2CV=162.4%2CT=290%2CP=25%29

Solve the formula for k and substitute the given values to evaluate k.

k=VP%2FT
highlight_green%28k=%28162.4%29%2825%29%2F290%29

Use this value for k in V=k340%2F20, for the asked question.