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Blood. (a) Mass of blood. The human body typicall…

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Problem 10 Medium Difficulty

Blood pressure. Systemic blood pressure is defined as the ratio of two pressures, both expressed in millimeters of mercury. Normal blood pressure is about $\frac{120 \mathrm{mm}}{80 \mathrm{mm}},$ which is usually just stated as $\frac{120}{80}$ . (See also Problem $24 . )$ What would normal systemic blood pressure be if, instead of millimeters of mercury, we expressed pressure in each of the following units, but continued to use the same ratio format? (a) atmospheres, (b) torr, (c) Pa, (d) $\mathrm{N} / \mathrm{m}^{2},$ (e) psi.

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Video Transcript

all right. In this problem, we're asked to convert blood pressure, which is usually expressed in millimetres of mercury to various other units. So first off, we need to know how these different units relate to one another and what their definitions are. So to start with one tour, one torch, Ellie is equal to one millimetre of mercury. That's the definition of a tour. Similarly, one Pascal is defined to be one Newtons per meter squared. And actually, I'm going to put another line right here said to know that this is actually the definition of a tour. And now, if we want to know how these different units relate to one another, it turns out that one tour is equal to 1.3 times 10 to the negative three atmospheres. And, um, this is also equal to 133 Paschal's. Now it's worth noting here that Paschal's air actually the scientific, the standard scientific units in the metric system and these other units, um, you're the millimeters mercury kind of arises for historical reasons through the use of barometers and expressing pressure in terms of multiples of the atmosphere can also be useful in certain settings, but it's worth remembering that the past scholars the is there say unit. So the blood pressure that appears in the numerator of a blood pressure reading the normal value for that is 122 millimeters of mercury and so straight from the definition of a tour. Um, this would be unchanged if we were to express the the units and tours. But if we want to express it in atmospheres, actually, let me just they could quick note of that. And if we want to express this in atmospheres, then we simply multiply 1 20 millimetres or 1 20 tour by the conversion factor for atmospheres. Two millimeters. Okay. And this will be equal toe 1 20 times, 133 our skulls, her millimeter and basically the conversions. They're going to be exactly the same for the denominator in the blood pressure reading, which is 80,000,000 years. So if we want to convert this to, um, units of atmospheres, all we do is we multiply a by 1.3 times 10 to the negative three. If we want to convert to pass calls, we multiply 80 by 133. And that's all

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Problem

Blood. (a) Mass of blood. The human body typicall…

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