Given combustion enthalpies CH₄=−890.3, graphite=−393.5 and H₂=−285.8 kJ mol⁻¹, find ΔfH°(CH₄).
Solution to Question 221
Complete workingApply Hess law to C(graphite)+2H₂→CH₄, followed by methane combustion.
−74.8 kJ mol⁻¹ (option A).
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Given combustion enthalpies CH₄=−890.3, graphite=−393.5 and H₂=−285.8 kJ mol⁻¹, find ΔfH°(CH₄).
Apply Hess law to C(graphite)+2H₂→CH₄, followed by methane combustion.
−74.8 kJ mol⁻¹ (option A).
Define the octet rule and discuss its value and limitations.
The rule predicts that many main-group atoms gain, lose or share electrons to attain eight valence electrons. It helps rationalise common ionic and covalent formulae but fails for incomplete octets, odd-electron species and expanded valence shells.
Useful guideline with exceptions such as BF₃, NO and SF₆.
Locate the element with atomic number 114 by period, group and block.
Its outer configuration after radon is 5f¹⁴6d¹⁰7s²7p². The highest n is 7, and ns²np² is the group-14 pattern.
Period 7, group 14, p-block.
Sodium emits yellow light of wavelength 580 nm. Calculate its frequency and wavenumber.
Convert the wavelength to metres, then use ν=c/λ and wavenumber =1/λ.
What mass of sodium acetate, CH₃COONa (molar mass \(82.0245\,\mathrm{g}\) mol⁻¹), is required to prepare 500 mL of a 0.375 M solution?
Convert the volume to litres, calculate the amount from n = MV, and then use m = nMₘ.
A 1.0 cm³ air bubble rises from a \(40\,\mathrm{m}\)-deep lake at 12°C to the surface at 35°C. Find its final volume; take atmospheric pressure 1.013×10⁵ Pa.
Principle and reasoning. Work from the governing physical relation and apply it to every stated part.
For the fixed gas amount, PV/T is constant. Pressure at depth includes the hydrostatic term.
An adiabatic change A→B has 22.3 J of work done on the gas. Along another A→B path, the gas absorbs 9.35 cal. Find work done by the gas; 1 cal=4.19 J.
Principle and reasoning. Work from the governing physical relation and apply it to every stated part.
Internal-energy change depends only on endpoints. Use the first law ΔU=Q−W, with W positive when done by the gas.
A \(50\,\mathrm{kg}\) person balances on one circular heel of diameter \(1.0\,\mathrm{cm}\). Find the pressure on the floor; take \(g=9.8\,\mathrm{m\,s}\)⁻².
Principle and reasoning. Work from the governing physical relation and apply it to every stated part.
Pressure equals normal force divided by contact area.
A constant retarding force of 50 N acts on a \(20\,\mathrm{kg}\) body moving initially at \(15\,\mathrm{m\,s}\)⁻¹. Find the stopping time.
Choose the initial direction as positive. The retarding force produces a negative acceleration.
Judge five vector claims:
Principle. Use definitions, the triangle inequality, and the fact that a zero sum makes any one vector a linear combination of the other two.