InterviewSolution
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InterviewSolution
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Figure shows plot of pV/T versus p for 1.00 x 10-3 kg of oxygen gas at two different temperatures.(a) What does the dotted plot signify?(b) Which is true: T1 > T2 or T1 < T2?(i) What is the value of pV/T where curves meet on the y-axis?(d) If we obtained similar plots for 1.00 x 10-3 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 pressure high temperature region of the plot)? (Molecular mass of H2 = 2.02 u. of O2 = 32.0 u, R = 8.31 J mol-1). |
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Answer» (a) The dotted plot shows the pV/T is a constant quantity (= uR) This signifies the ideal gas behaviour. (b) Here T1 > T2 (c) At the point where the curve meets the y-axis, we have pV/T = uR where u is the number of moles of oxygen gas. Here, Mass of oxygen, Also, molecular mass, M = 32 x 10-3 kg No. of moles, u = m/M = {1.00 x 10-3}/{32 x 10-3} = 1/32 pV/T = uR = 1/32 x 8.31 = 0.26 J K-1 (d) Since the value of pV/T depends upon the number of moles, we will not get the same value for pV/T in case of hydrogen. To obtain the same value of u (i.e., 1/32) and hence pV/T, we must have = {Mass of hydrogen}/{Molecular mass of hydrogen} = 1/32 Hence, mass of hydrogen = 1/32 x molecular mass = 1/32 x 2 x 10-3 kg = 6.25 x 10-5 kg |
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