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Make the indicated pressure conversions. a. 17.3 psi to kilopascals b. 1.15 atm to psi

Short Answer

Expert verified
a. 17.3 psi is approximately equal to 119.20 kPa. b. 1.15 atm is approximately equal to 16.90 psi.

Step by step solution

01

a. Convert 17.3 psi to kilopascals (kPa)

To convert 17.3 psi to kPa, we need to multiply it by the conversion factor (1 psi = 6.89476 kPa). \( 17.3 \, \text{psi} \cdot 6.89476 \, \frac{\text{kPa}}{\text{psi}} \) Now, perform the multiplication: \(17.3 \cdot 6.89476 = 119.201708\) kPa So, 17.3 psi is approximately equal to 119.20 kPa.
02

b. Convert 1.15 atm to psi (pound per square inch)

To convert 1.15 atm to psi, we need to multiply it by the conversion factor (1 atm = 14.6959 psi). \( 1.15 \, \text{atm} \cdot 14.6959 \, \frac{\text{psi}}{\text{atm}} \) Now, perform the multiplication: \(1.15 \cdot 14.6959 = 16.900085\) psi So, 1.15 atm is approximately equal to 16.90 psi.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Psi to Kilopascals Conversion
Pressure conversion is a vital concept in various scientific and engineering fields. PSI, or pounds per square inch, and kilopascals (kPa) are units used to measure pressure. The conversion from psi to kilopascals is straightforward once we know the conversion factor.
To convert psi to kPa, remember this key conversion factor:
  • 1 psi = 6.89476 kPa
So, if you want to convert 17.3 psi to kPa, multiply the psi value by this conversion factor:
  • 17.3 psi × 6.89476 = 119.20 kPa
This calculation tells us that 17.3 psi is approximately 119.20 kPa, allowing us to interchange these units easily in calculations. This conversion is particularly useful when dealing with different pressure systems and instruments that may use either of these units.
The Process of Converting Atmospheres to Psi
Atmospheres (atm) and psi (pounds per square inch) are both units commonly used to express pressure. While atmospheres are typically used in more scientific settings, psi is familiar to many, especially in fields involving mechanics and pneumatic systems.
To convert from atmospheres to psi, utilize this conversion factor:
  • 1 atm = 14.6959 psi
For example, let's say you have 1.15 atm and wish to convert it to psi. Multiply the number of atmospheres by the conversion factor:
  • 1.15 atm × 14.6959 = 16.90 psi
Thus, 1.15 atm converts to approximately 16.90 psi. This conversion is helpful when transitioning between different pressure systems or when comparing pressures in contexts where this unit is more appropriate.
Introduction to Pressure Units Conversion
Pressure is an important physical quantity that can be expressed in various units across different contexts. Common units include psi, kPa, and atm. Each has its applications and relevance in specific scientific, engineering, or daily settings.
Understanding how to interconvert between these units allows for flexibility in problem-solving and communication of data:
  • PSI to kPa: Use the conversion factor 1 psi = 6.89476 kPa.
  • Atm to Psi: Use the conversion factor 1 atm = 14.6959 psi.
Mastering these conversions ensures accurate representation of pressure values, which is crucial for applications such as calibration of equipment, scientific experiments, or any scenario where pressure plays a role. With these conversion techniques, any problem involving different pressure units becomes manageable and straightforward.

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Most popular questions from this chapter

Which of the following statements is(are) true? a. If the number of moles of a gas is doubled, the volume will double, assuming the pressure and temperature of the gas remain constant. b. If the temperature of a gas increases from 25 ' \(\mathrm{C}\) to \(50 \mathrm{C},\) the volume of the gas would double, assuming that the pressure and the number of moles of gas remain constant. c. The device that measures atmospheric pressure is called a barometer. d. If the volume of a gas decreases by one-half, then the pressure would double, assuming that the number of moles and the temperature of the gas remain constant.

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