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- The behavior of real gases approaches that of ideal gas in which of these following conditions? a) Low pressure & low temperature b) High Pressure & high temperature c) Low pressure & high temperature d) high pressure & low temperatureQ.37. What is a gas called that is not an ideal gas? Do such gases exist?The ideal gas law is given by, PV=nRT. According to the ideal gas law equation, if you plot 1/P as the y axis and V as the x axis, the slope is: O nRT 1 nR 1 nRT O nR
- Consider an ideal gas with an absolute temperature of T1. To A) what temperature would the gas need to be heated to double it’s pressure? Express the answer in terms of T1 B) consider an ideal gas with a volume of V1. To what volume would the gas need to be compressed to double it’s pressure? Express the answer in terms of V12. Consider a monatomic gas in a 2-dimensional box with a rectangular area A. The velocity distribution for this gas is given by (you do not need to prove this): {-m (C +C)/ 2kT} f (C,,C,)=A e Find: A, the speed distribution, and the mean speed, C.Provide an equation of state (relating pressure, volume and temperature) for a real gas and interpret the terms that take into account the differences between a real and ideal gas. Comment on the extreme limits (example:zero temperature). Under what conditions does the behavior of real gases conform to the behavior expected to ideal gases?
- a.) An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is halved and the pressure is tripled? b.) An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is doubled and the pressure is tripled? c.) If you have two jars containing the same amount, n1=n2, and type of gas (for example, oxygen) and they are at the same temperature, T, what can you say about their pressure if the first jar has four times the volume of the second, V1 = 4V2? Hint: use pV=nRTA cylinder of diameter S, of height h, contains pure gas with equation PV = nRT at constant temperature T_0. The z axis is directed upwards and the gravitational field is assumed to be uniform. 1) Using the fundamental principle of hydrostatic statistics, show that dp = -pgdz where p = p (z) is the gas pressure at height z. 2) If P_0 is the gas pressure at the foot of the pole, calculate the pressure p (z) at height z. 3) In the case of wind (M = 29 g / mol: R = 8.31J/ mol.k) at temperature T_0 = 300K, calculate the height of the poles necessary to observe the change in pressure (pressure at the threshold) at 5% .For an ideal gas in constant volume if you double the temperature ( T2= 2 T1), what is the new pressure ( P2=?)
- In simple terms, what’s the difference between real gas and ideal gas?The specific volume of a gas is 1.5 m3/kg. What volume (in m3 and answer should be in 2 decimal places) does 7.5 kg occupy? What is the density (in kg/m3 and answer should be in 3 decimal places) of the gas?The ideal gas law is a very simple mathematical relationship that relates several physical properties of a gas. This law is only valid when the behavior of a gas is idealized according to three principal assumptions. (i) State the three assumptions made about an ideal gas, and for each assumption (ii) explain which physical property of a gas would be affected if that assumption was not made.