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. mega pascals (MPa) c. torr

Short Answer

Expert verified
The pressure can be expressed in the following units: a. \(149.660\) atm, b. \(15.158\) MPa, and c. \(113661.6\) torr.

Step by step solution

01

Convert psi to atm

Given pressure = 2200 psi We know that 1 atm = 14.7 psi Therefore, to convert 2200 psi to atm, we'll use the following formula: Pressure in atm = (Pressure in psi) / (Conversion factor) Pressure in atm = 2200 psi / 14.7 psi/atm = 149.660 atm a. The pressure in standard atmospheres is approximately 149.660 atm.
02

Convert atm to MPa

Now, we will convert the pressure from atm to MPa. We know that: 1 atm = 101.325 kPa, and 1 MPa = 1000 kPa Therefore, to convert the pressure from atm to MPa, we'll follow these steps: 1. Convert atm to kPa Pressure in kPa = (Pressure in atm) × (Conversion factor) Pressure in kPa = 149.660 atm × 101.325 kPa/atm ≈ 15158.31 kPa 2. Convert kPa to MPa Pressure in MPa = (Pressure in kPa) / 1000 Pressure in MPa = 15158.31 kPa / 1000 = 15.158 MPa b. The pressure in mega pascals is approximately 15.158 MPa.
03

Convert atm to torr

Lastly, we will convert the pressure from atm to torr. We know that: 1 atm = 760 torr To convert the pressure from atm to torr, we'll use the following formula: Pressure in torr = (Pressure in atm) × (Conversion factor) Pressure in torr = 149.660 atm × 760 torr/atm ≈ 113661.6 torr c. The pressure in torr is approximately 113661.6 torr.

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