Question

Question 4 5 pts Gas storage containers are sometimes designed to store the gas at a low temperature. This allows more gas to be stored at a lower pressure, and therefore more safely. Consider a rigid (constant volume) gas container that can safely store ny moles of gas at a higher temperature Th = 309 K and pressure PH = 5.79 x 10^6 Pa. Calculate the number of moles of gas, nį, that this container can hold at a lower temperature TL = 122 K and pressure PL = 4.10 x 106 Pa? Give your answer as the ratio, n/nh, to at least three significant digits.

Answer 1

Summary:-

In this question we calculated the ratio of no. of moles of gases at two different temperatures using ideal gas equation.
Solution Case It When the temperature - is high No. of moles of gas = ny Temperature, T = took Pressure P = 5.79 x 100 Pa Now, using ideal gas equation, PV = nRT where v is volume o R is - gas constant. - RI hus (5.79 X 106). V R. (309) I Case I when the temperature is low

No. of moles of gas a n Temperature T 122K Pressure "P" = 4,10 x 100 Pa again asing ideal 995 fuation, PV-VARIL - As volume' v' is constant) h: (4110 x 10) v CA 10 x 106 R. (122) € R be - (4:10X106, V R (122) (309) (5,79 X106) v 1266.9 706:38 11793