3 A surveyor measures the dimensions of a room of constant height.Fig. 2.1 is a top view of theroom and shows the measurements taken.6.01 m4.25 m3.26 m6.75 mFig. 2.1(a) State an instrument that would be suitable to take these measurements............................................................................................................................... ................ [1](b) The volume of air in the room is 76.4 m3. The density of the air is 1.2 kg / m3.Calculate the mass of air in the room.mass = ........................................................ [2](c) A window in the room is open. The next day, the temperature of the room has increased, butthe pressure of the air has stayed the same.State and explain what has happened to the mass of air in the room............................................................................................................................... ................................................................................................................................................... ................................................................................................................................................... ................................................................................................................................................... ................ [3][Total: 6]Save My Exams! – The Home of RevisionFor more awesome GCSE and A level resources, visit us at www.savemyexams.co.uk/4
Question
3 A surveyor measures the dimensions of a room of constant height.Fig. 2.1 is a top view of theroom and shows the measurements taken.6.01 m4.25 m3.26 m6.75 mFig. 2.1(a) State an instrument that would be suitable to take these measurements............................................................................................................................... ................ 1 The volume of air in the room is 76.4 m3. The density of the air is 1.2 kg / m3.Calculate the mass of air in the room.mass = ........................................................ 2 A window in the room is open. The next day, the temperature of the room has increased, butthe pressure of the air has stayed the same.State and explain what has happened to the mass of air in the room............................................................................................................................... ................................................................................................................................................... ................................................................................................................................................... ................................................................................................................................................... ................ [3][Total: 6]Save My Exams! – The Home of RevisionFor more awesome GCSE and A level resources, visit us at www.savemyexams.co.uk/4
Solution
(a) A suitable instrument to take these measurements would be a tape measure.
(b) To calculate the mass of the air in the room, you would use the formula mass = density x volume. Given that the volume of air in the room is 76.4 m3 and the density of the air is 1.2 kg/m3, the calculation would be as follows: mass = 1.2 kg/m3 x 76.4 m3 = 91.68 kg. So, the mass of the air in the room is 91.68 kg.
(c) If the temperature of the room has increased but the pressure of the air has stayed the same, the mass of the air in the room would also remain the same. This is because the mass of a gas is determined by the number of molecules it contains, not its temperature or pressure. The increase in temperature would cause the air molecules to move faster and occupy a larger volume, but it would not change the number of molecules, and therefore the mass would stay the same.
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