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Chapter 10: Problem 20

Perform the following conversions: (a) 0.912 atm to torr, (b) 0.685 bar to kilopascals, (c) \(655 \mathrm{~mm} \mathrm{Hg}\) to atmospheres, (d) \(1.323 \times 10^{5}\) Pa to atmospheres, (e) 2.50 atm to psi.

Short Answer

Expert verified
The short answers for the conversions are: (a) \(692.12 \mathrm{~torr}\), (b) \(68.5 \mathrm{~kPa}\), (c) \(0.8618 \mathrm{~atm}\), (d) \(1.305 \mathrm{~atm}\), and (e) \(36.74 \mathrm{~psi}\).

Step by step solution

01

Identify the conversion factor

In this case, we need the conversion factor for atm to torr, which is 1 atm = 760 torr.
02

Perform the conversion

To convert 0.912 atm to torr, we simply multiply by the conversion factor: \(0.912 \mathrm{~atm} \times \frac{760 \mathrm{~torr}}{1 \mathrm{~atm}} = 692.12 \mathrm{~torr}\) #b) Convert 0.685 bar to kilopascals#
03

Identify the conversion factors

In this case, we need the conversion factors for bar to Pascal (Pa) and Pascal to kilopascals (kPa), which are 1 bar = 10^5 Pa and 1 kPa = 10^3 Pa.
04

Perform the conversion

To convert 0.685 bar to kPa, we first convert bar to Pa, and then convert Pa to kPa: \(0.685 \mathrm{~bar} \times \frac{10^5 \mathrm{~Pa}}{1 \mathrm{~bar}} \times \frac{1 \mathrm{~kPa}}{10^3 \mathrm{~Pa}} = 68.5 \mathrm{~kPa}\) #c) Convert 655 mm Hg to atmospheres#
05

Identify the conversion factor

In this case, we need the conversion factor for mm Hg to atm, which is 1 atm = 760 mm Hg.
06

Perform the conversion

To convert 655 mm Hg to atm, we simply divide by the conversion factor: \(\frac{655 \mathrm{~mm} \mathrm{Hg}}{760 \mathrm{~mm} \mathrm{Hg} \cdot 1 \mathrm{~atm}} = 0.8618 \mathrm{~atm}\) #d) Convert 1.323 x 10^5 Pa to atmospheres#
07

Identify the conversion factor

In this case, we need the conversion factor for Pa to atm, which is 1 atm = 1.01325 x 10^5 Pa.
08

Perform the conversion

To convert 1.323 x 10^5 Pa to atm, we divide by the conversion factor: \(\frac{1.323 \times 10^{5} \mathrm{~Pa}}{1.01325 \times 10^{5} \mathrm{~Pa} \cdot 1 \mathrm{~atm}} = 1.305 \mathrm{~atm}\) #e) Convert 2.50 atm to psi#
09

Identify the conversion factor

In this case, we need the conversion factors for atm to Pa and Pa to psi, which are 1 atm = 1.01325 x 10^5 Pa and 1 psi = 6894.76 Pa.
10

Perform the conversion

To convert 2.50 atm to psi, we first convert atm to Pa, and then convert Pa to psi: \(2.50 \mathrm{~atm} \times \frac{1.01325 \times 10^{5} \mathrm{~Pa}}{1 \mathrm{~atm}} \times \frac{1 \mathrm{~psi}}{6894.76 \mathrm{~Pa}} = 36.74 \mathrm{~psi}\)

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Most popular questions from this chapter

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