The ideal gas law relates the pressure P, volume V, absolute temperature T, and
ID: 1952162 • Letter: T
Question
The ideal gas law relates the pressure P, volume V, absolute temperature T, and amount of gas n. The law is P = nRT/V
where R is the gas constant.
An engineer must design a large natural gas storage tank to be expandable to maintain the pressure constant at 2.2 atm. In December when the temperature is 4 degrees F (-15 degrees C), the volume of gas in the tank is 28 500 ft3. What will the volume of the same quantity of gas be in July when the temperature is 88 degrees F (31 degrees C)? (HInt: Use the fact that n, R, and P are constant in this problem. Note also that K = degree C + 273.2.)
Explanation / Answer
PV = nRT V= nRT/P here n,R,P are constants. V=T.(nR/P) volume and temp in december= V1 and T1 volume and temp in july = v2 and T2 in dec, V1 = T1.(nR/P) in jul, V2 = T2.(nR/P) divide V1 and V2, we get V1/V2 = T1/T2 V2 = (T2/T1).V1 = ((31+273)/(-15+273)).28500 = 33581 ft3
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.