Question

The gas pressure inside a high vacuum chamber is 0.000000132atm. Calculate the gas pressure in mmHg and torr. Round each of your answers to 3 significant digits.

Answer 1

Answer:

0.000000132 atm is  0.000100 mm Hg = 0.000100 torr

Explanation:

Step 1: Data given

Pressure in atmosphere = 0.000000132atm

1 atm = 760 mm Hg

1 torr = 1 mmHg

1 atm = 760 torr

Step 2: Calculate the pressure in torr and mmHg

1 atm = 760 mmHg

0.000000132atm = 760 * 0.000000132 mm Hg

0.000000132atm = 0.00010032 mm Hg

Since 1 torr = 1 mmHg

0.00010032 mm Hg =  0.00010032 torr

Step 3: convert to 3 significant digits

0.00010032 ⇒ 0.000100 mm Hg = 0.000100 torr

0.000000132 atm is  0.000100 mm Hg = 0.000100 torr

Answer 2

Answer:

The gas pressure in both mmHg and torr is 1.00 x10⁻⁴.

Explanation:

The standard atmosphere (1 atm) equals a pressure  of 760 mmHg, where mmHg represents the pressure exerted by a column of mercury  1 mm high. The mmHg unit is also called the torr, after the Italian scientist Evangelista  Torricelli, who invented the barometer. Thus,

1 torr = 1 mmHg  

and  

1 atm = 760 mmHg = 760 torr

Therefore, we do the following conversion:

1 atm ------------------- 760 mmHg

1.32x10⁻⁷ atm ------- x=  1.00 x10⁻⁴ mmHg (3 significant digits)