A gauge on a compressed gas cylinder reads 2200 psi (pounds per square inch; 1 atm \(=14.7\) psi). Express this pressure in each of the following units. a. standard atmospheres b. megapascals (MPa) c. torr

Short Answer

Expert verified
The pressure of 2200 psi is approximately equal to 149.66 atm, 15.167 MPa, and 113,713 torr.

Step by step solution

01

Convert psi to atmospheres

Given the pressure gauge reading as 2200 psi, we will first convert it to standard atmospheres using the given conversion factor (1 atm = 14.7 psi). \(Number\ of\ atmospheres = \frac{Pressure\ in\ psi}{Conversion\ factor}\)
02

Calculate atmospheres

Now we will plug in the values and find the number of atmospheres. \(Number\ of\ atmospheres = \frac{2200}{14.7}\) \(Number\ of\ atmospheres ≈ 149.66\) Therefore, the pressure in standard atmospheres is approximately 149.66 atm.
03

Convert psi to megapascals (MPa)

Next, we need to convert the pressure in psi to megapascals (MPa). To do this, we will use the conversion factor 1 psi = 0.00689476 MPa. \(Pressure\ in\ MPa = Pressure\ in\ psi × Conversion\ factor\)
04

Calculate megapascals

Now we will plug in the values and find the pressure in MPa. \(Pressure\ in\ MPa = 2200 × 0.00689476\) \(Pressure\ in\ MPa ≈ 15.167\) Therefore, the pressure in megapascals is approximately 15.167 MPa.
05

Convert psi to torr

Lastly, we need to convert the pressure in psi to torr. To do this, we will use the conversion factor 1 psi = 51.7149 torr. \(Pressure\ in\ torr = Pressure\ in\ psi × Conversion\ factor\)
06

Calculate torr

Now we will plug in the values and find the pressure in torr. \(Pressure\ in\ torr = 2200 × 51.7149\) \(Pressure\ in\ torr ≈ 113713\) Therefore, the pressure in torr is approximately 113,713 torr.

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