A rigid tank contains 1.2m31.2 \mathrm{m}^{3}1.2m3 of argon at −100∘C-100^{\circ} \mathrm{C}−100∘C and 1 MPa. Heat is now transferred to argon until the temperature in the tank rises to 0∘C0^{\circ} \mathrm{C}0∘C. Using the generalized charts, determine (a) the mass of the argon in the tank, (b) the final pressure, and (c) the heat transfer.
Balance the following equations: (a) The explosion of ammonium nitrate:
NH4NO3⟶N2+O2+H2O\mathrm{NH}_4 \mathrm{NO}_3 \longrightarrow \mathrm{N}_2+\mathrm{O}_2+\mathrm{H}_2 \mathrm{O} NH4NO3⟶N2+O2+H2O
(b) The spoilage of wine into vinegar:
C2H6O+O2⟶C2H4O2+H2O\mathrm{C}_2 \mathrm{H}_6 \mathrm{O}+\mathrm{O}_2 \longrightarrow \mathrm{C}_2 \mathrm{H}_4 \mathrm{O}_2+\mathrm{H}_2 \mathrm{O} C2H6O+O2⟶C2H4O2+H2O
(c) The burning of rocket fuel:
C2H8 N2+N2O4⟶N2+CO2+H2O\mathrm{C}_2 \mathrm{H}_8 \mathrm{~N}_2+\mathrm{N}_2 \mathrm{O}_4 \longrightarrow \mathrm{N}_2+\mathrm{CO}_2+\mathrm{H}_2 \mathrm{O} C2H8 N2+N2O4⟶N2+CO2+H2O
A 15.0 g15.0 \mathrm{~g}15.0 g clothesline is stretched with a tension of 22.1 N22.1 \mathrm{~N}22.1 N between two poles 7.66 m7.66 \mathrm{~m}7.66 m apart. What is the frequency of the fundamental and the second harmonic?
Thorium 90228Th_{90}^{228}\mathrm{Th}90228Th produces a daughter nucleus that is radioactive. The daughter, in turn, produces its own radioactive daughter, and so on. This process continues until bismuth 83212Bi_{83}^{212}\mathrm{Bi}83212Bi is reached. Concepts: (i) How many of the 90 protons in the thorium nucleus are carried off by the α\alphaα particles? (ii) How many protons are left behind when the β−\beta^{-}β− are emitted? (iii) How many of the 228 nucleons in the thorium nucleus are carried off by the α\alphaα particles? (iv) Does the departure of a β−\beta^{-}β− particle alter the number of nucleons? Calculations: What are the total number NαN_{\alpha}Nα of α\alphaα particles and the total number NβN_{\beta}Nβ of β−\beta^{-}β− particles that are generated in this series of radioactive decays?