Figure Show plot of `PV//T` versus P for `1.00xx10^(-3)` kg of oxygen gas at two different temperatures.

(a) What does the dotted plot signify?
(b) Which is true: `T_(1) gt T_(2)` or `T_(1) lt T_(2)`?
(c) What is the value of `PV//T` where the curves meet on the y-axis?
(d) If we obtained similar plots for `1.00xx10^(-3)` kg of hydrogen, would we get the same value of `PV//T` at the point where the curves meet on the y-axis? If not, what mass of hydrogen yields the same value of `PV//T` (for low pressure high temperature region of the plot) ? (Molecular mass of `H_(2) = 2.02 u, of O_(2) = 32.0 u, R= 8.31Jmol^(-1)K^(-1).)

Answer

(i) ideal gas behaviour (ii) `T_(1) gt T_(2)` (iii) 0.26JK^(-1)

Explanation

(i) Dotted lines correspond to ideal gas
(ii) `T_(1) gt T_(2)`
(On high temp. real gas behaves as ideal gas)
(iii) `(PV)/(T) = (m)/(M)R = (10^(-3))/(32 xx 10^(-3)) xx 8.314 = 0.26J//K`