/edexcel/questions","basePath":"/gcse/physics/edexcel/density-and-states-of-matter/questions","formulaUrl":null,"initialIndex":37,"initialQuestionWindow":[{"id":"7f41fff1-3192-497a-9105-c0049f7d6ac5","revisionId":"c6a0242f-03d7-4a4f-9611-f8bc5679b448","questionNumber":null,"questionType":"LA","specification":"","difficulty":3,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"d7ff5ff8-c975-4fc1-8642-7fdbedb39286","label":null,"content":"A precision aerospace bracket made of a titanium alloy has a mass of $38.7\\text{ g}$.\n\nThe density, $\\rho$, of this titanium alloy is $4.50\\text{ g/cm}^3$.\n\nCalculate the volume of the aerospace bracket.\n\nUse the equation:\n\n$$\\rho = \\frac{m}{V}$$","markscheme":"- Rearranges the density equation to make volume ($V$) the subject: $V = \\frac{m}{\\rho}$ M1\n- Substitutes the values for mass and density into the equation: $V = \\frac{38.7}{4.50}$ M1\n- Calculates the final volume: $8.6\\text{ cm}^3$ A1","marks":3,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"rearrange_density","label":"Rearrange the density equation","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"\\rho=\\frac{m}{V}"},{"text":"Multiply both sides by volume."},{"latex":"\\rho V=m"},{"text":"Divide both sides by density."},{"latex":"V=\\frac{m}{\\rho}"}]},"order":0,"title":"Make volume the subject","description":"Rearrange the density equation so volume is alone. This rearrangement earns M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"V=\\frac{m}{\\rho}"},{"latex":"V=\\frac{38.7}{4.50}"}]},"order":1,"title":"Substitute the values","description":"Put the mass and density into the rearranged equation. This substitution earns the second M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"V=\\frac{38.7}{4.50}"},{"latex":"V=8.6\\ \\mathrm{cm}^{3}"}]},"order":2,"title":"Calculate the volume","description":"Now evaluate the division. The volume is 8.6 cubic centimetres. This earns A1."}]}],"generatedAt":"2026-07-22T09:21:34.907Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"8d8c442b-47de-4ca3-8cbb-863fa9463820","revisionId":"dab9d62a-dda9-4545-981a-0586c650885a","questionNumber":null,"questionType":"LA","specification":"A student wants to measure the density of brass.\n\nThe student has:\n- a box of identical small brass rivets\n- a digital weighing balance\n- a measuring cylinder containing water","difficulty":5,"difficultyBand":"medium","totalMarks":4,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"01958274-0503-48df-9fb4-c14a93708e1d","label":null,"content":"Describe how the student could determine, as accurately as possible, the density of the brass used to make the rivets.","markscheme":"- Measures the mass of a large number of rivets (e.g. 10 to 20) together on the digital balance to reduce percentage uncertainty M1\n- Records the initial volume of water in the measuring cylinder, reading at eye level (to avoid parallax error) at the bottom of the meniscus M1\n- Lowers the same group of rivets gently into the water (to prevent splashing) and records the final volume, finding the volume of rivets by: $\\text{Volume} = \\text{final volume} - \\text{initial volume}$ M1\n- Calculates the density of the brass using: $\\text{density} = \\frac{\\text{mass}}{\\text{volume}}$ A1","marks":4,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"915f30bf-5b40-4a10-99cd-d5d02aaba704","revisionId":"29a4bf4d-b3d7-4429-9522-9f0da1580811","questionNumber":null,"questionType":"LA","specification":"","difficulty":4,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"a40fe91b-b378-495b-af8a-47b25ae6530b","label":null,"content":"A high-precision subsea pressure housing made from a specialized engineering polymer

Density and states of matter

Question 11

Density and states of matter Questions

Density and states of matter

Question 11

Density and states of matter Questions