/edexcel/questions","basePath":"/gcse/physics/edexcel/density-and-states-of-matter/questions","formulaUrl":null,"initialIndex":71,"initialQuestionWindow":[{"id":"d6eb7024-3a62-4716-9ab7-7a41e5b8c3cd","revisionId":"10f080bb-b89c-4deb-8aed-0546165870b8","questionNumber":null,"questionType":"LA","specification":"A high-precision titanium alloy fastener designed for an aerospace structure has a mass of $7.20 \\times 10^{-3}$ kg and a volume of $1.60 \\times 10^{-6}$ m$^{3}$.","difficulty":4,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"e4df15a9-5d88-49f1-8274-e45455376aad","label":null,"content":"Calculate the density, $\\rho$, of the fastener.\n\nUse the equation:\n$$\\rho = \\frac{m}{V}$$\n\nState the unit.","markscheme":"- Correct substitution of values into the density equation: $\\rho = \\frac{7.20 \\times 10^{-3}}{1.60 \\times 10^{-6}}$ M1\n- Correct calculation of the numerical answer: $4500$ A1\n- Correct unit: $\\text{kg/m}^3$ or $\\text{kg m}^{-3}$ B1","marks":3,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"density_equation","label":"Use the density equation","steps":[{"type":"text","order":1,"title":"Choose the equation","content":"Density means **mass per unit volume**, so use the equation given:\n\n$$\\rho=\\frac{m}{V}$$\n\nBoth values are already in SI units: kilograms and cubic metres.","highlights":[{"text":"Use the equation:\n$$\\rho = \\frac{m}{V}$$","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\rho=\\frac{\\htmlData{anchor=mass-symbol}{m}}{\\htmlData{anchor=volume-symbol}{V}}"},{"latex":"\\rho=\\frac{\\htmlData{anchor=mass-value}{7.20\\times10^{-3}}}{\\htmlData{anchor=volume-value}{1.60\\times10^{-6}}}"}],"connections":[{"to":"mass-value","from":"mass-symbol","color":"sky","label":"substitute mass"},{"to":"volume-value","from":"volume-symbol","color":"green","label":"substitute volume"}]},"order":2,"title":"Substitute the values","description":"Put the mass in the numerator and the volume in the denominator. This correct substitution earns the M1 mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\rho=\\frac{7.20\\times10^{-3}}{1.60\\times10^{-6}}"},{"latex":"\\rho=\\left(7.20\\div1.60\\right)\\times10^{-3-(-6)}"},{"latex":"\\rho=4.50\\times10^{3}"},{"latex":"\\rho=\\htmlData{anchor=density}{4500}"}],"highlights":[{"color":"green","style":"box","anchor":"density"}]},"order":3,"title":"Calculate the density","description":"Divide the coefficients, then subtract the powers when dividing standard-form values: -3 - (-6) = 3. The numerical answer earns the A1 mark."},{"type":"text","order":4,"title":"State the unit","content":"Density in SI units is measured in kilograms per cubic metre, written as $$\\boxed{\\rho=4500\\ \\text{kg/m}^3}$$\n\nYou could also write the unit as $\\text{kg m}^{-3}$. Including the correct unit earns the B1 mark.","highlights":[{"text":"State the unit.","location":"specification"}]}]}],"generatedAt":"2026-07-22T11:55:44.096Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"d9fb65c6-bf8f-437c-a206-3bbca94befb4","revisionId":"75285eb7-3806-4494-9abf-7051edcc66c0","questionNumber":null,"questionType":"LA","specification":"Molten gold is poured into a mould where it cools down to form a solid gold bar.","difficulty":3,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"5d3b03cc-7423-42e7-b57b-93775722d7cd","label":null,"content":"Describe, in terms of particles, **two** differences between the gold when it is a liquid and when it has solidified.","markscheme":"- Particles in the solid gold are arranged in a regular pattern or lattice, whereas in the liquid gold they have a random or disordered arrangement. B1\n- Particles in the solid gold can only vibrate about fixed positions, whereas in the liquid gold they can slide or flow past one another. B1\n- The f

Density and states of matter

Question 28

Density and states of matter Questions

Density and states of matter

Question 28

Density and states of matter Questions