Question

Question 6 Gauge pressure is the difference between actual pressure (or absolute pressure) at a point of a system, and atmospheric pressure. Essentially it is pressure within a fluid, either liquid or a gas, at depth. Car tyre pressure is reported as gauge pressure, since the compressed air inside the tyre is a fluid, and is the difference between actual pressure of the tyre and atmospheric pressure. Answer the following questions: a) What is the absolute pressure in the tyre, if the gauge pressure of the tyre is measured as 200kPa? b) If the gauge pressure was measured with a manometer using a fluid with density of 920kg/m3, what would the height difference of the manometer be? Would it be reasonable to have a manometer made to this size? c) If the temperature of the compressed air in the tyre increases from 15°C to 35°C, what is the new pressure and subsequent absolute (actual) pressure in the tyre? Assume the volume of the tyre, and number of air molecules in the tyre remain unchanged. What pressure change occurred within the tyre?

Answer 1

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