Question

Question T16 Explain briefly what is meant by the term "Ideal Gas" and give an appropriate equation of state, indicating clearly the units used for each property. Also, draw sketches illustrating (i) the shape of a line of constant pressure on plot of temperature v specific volume (T-v) for an ideal gas, and (ii) the shape of a line of constant temperature on a plot of pressure against specific volume, also for an ideal gas. Using, (1) the ideal gas equation and, (2) the steam data tables, determine the specific volume of water vapour at (a) 20 kPa, 60.06°C and (b) 15 MPa, 500°C. Also, determine the percentage error involved in assuming ideal gas behaviour for cases (a) and (b) respectively.
please fully explain origon of all values and graphs for like

Answer 1

An ideal gas is a theoretical gas that always obeys the ideal gas equation. Its v-t diagram is a straight line and its P-V diagram is an inverse curve.
Page 1 & T-16 - Ideal Gras :- Experimentaly it is found that, [p. V = MRT 1 (i) where pa presse of Gad in Pascal (Pa) To Temp. of Gas in Kelpin (k) mi mass of Gas in grams (g) V. Specific Va Vol. of Gas (in metre?) ) Eq. (il can be re-write as, P.D= R.T ] — () [: D=] where de specific volume of Gras So, for two different states of Gas, - 1d, = R. T or Pi di ar T Sy het home PS

line Therefore, ideal Cras is an a hypothetical and theoretical bras that obeys ag. 6), Gil and a) at all states of Cres. Eq. (), Eq. (i) and Eg. (ii) are called as the ideal Gas Equations of State. - v- diagram of ideal Cras :-D At Const. press, P: const. Eq. (ii) Be comes, Dat ie. According to Charle's Law At const. Press. the specific volume of an ideal bas is directly proportional to the temperature of ideal Gas. Therefore, the shape of d-T diagram is a straight line. raight o straight P= Constant

To Constant Реце з pod diagram for ideal Gas: - At Construt temp. eglibecomes, P.d = Instant Therefore, According to Boyle's Law At Constant temperature, the pressure of ideal Gas is inversly proportional to the specific volume of ideal Gas, Therefore, the shape of pad diagram is a curved line. At 8,=20kpa; T = 60.06°C The value of specific volume from steam table is 19,- 7.649 molka Ast P2 = 15m Pa Taa 500°C The Steam will be super heated steam, its Specific volume is, da = 0.02080 m²/kg

Percentage Error in specific volume :- Pf 20kPa ; T = 60.06 Ra 0.4615 kJ legle So, ideal Gas Eqi, P.d = Rito do, ER.T spori 4.685 m 89 Percentage error, & di-do. X 100 = 0.50 73. P₂ = 15 MPa ; T2 = 500°C 2, , R, TL 0.0126 ming Percentage error from & deal Behavine de da' Xoled =18. 18 y. du An Page 4