Q10 E - Chemistry (OpenStax)

Question

A medical laboratory catalog describes the pressure in a cylinder of gas as 14.82MPa. What is the pressure of this gas in atmospheres and torr?

Step-by-Step Solution

Answer

1.  14.82 × 10⁶ Pa = 111, 150 Torr
2. 14.82 × 10⁶ Pa = 146.2620 atm

Step 1: Define pressure

Force applied perpendicular to an object's surface per unit area across which that force is spread is known as pressure.

Step 2: Explanation

Converting M Pa into Pa,

        1MPa = 10⁶ Pa

14.82 MPa = (14.82) × (10⁶) Pa

                  = 14.82 × 10⁶ Pa

1. Converting Pa pressure into torr

1Pa = 0.0075 Torr

             14.82 × 10⁶ Pa = (14.82 × 10⁶) × (0.0075) Torr

                                     = 111,150 Torr

Therefore, 14.82 × 10⁶ Pa is equal to 111,150 Torr

1. Converting Pa pressure into atm

                1 Pa = 9.869 × 10^-6atm

14.82 × 10⁶ Pa = (14.82 × 10⁶) (9.869 × 10^-6) atm  

                         = 146.2620 atm

Therefore, 14.82 × 10⁶ Pa is equal to 146.2620 atm