Which of the following indicates the greatest pressure? A) 1 atm B) 777 torr C) 5.5 mm Hg D) 1000 Pa E) 12 psi
Convert all pressures to the same units, mmHg. Use the following relationships:
1 atm = 760 mmHg
1 torr = 1 mmHg
1 1 torr = 133.3 Pa
To determine which of the given options indicates the greatest pressure, we need to compare the units of each option and convert them to a common unit for comparison.
The given options have different units such as atmospheres (atm), torr, millimeters of mercury (mm Hg), pascals (Pa), and pounds per square inch (psi).
To make a valid comparison, we can convert all the units to the same unit, such as pascals (Pa) since it is the SI unit of pressure.
Here are the conversions:
1 atm = 101325 Pa (approximately)
1 torr = 133.322 Pa (approximately)
1 mm Hg = 133.322 Pa (approximately)
1 psi = 6894.76 Pa (approximately)
Now, let's convert each option:
A) 1 atm = 1 * 101325 Pa = 101325 Pa
B) 777 torr = 777 * 133.322 Pa ≈ 103476 Pa
C) 5.5 mm Hg = 5.5 * 133.322 Pa ≈ 733.772 Pa
D) 1000 Pa = 1000 Pa
E) 12 psi = 12 * 6894.76 Pa ≈ 82737 Pa
Comparing the values obtained, we can see that option B) 777 torr has the greatest pressure among the given options since it is approximately 103476 Pa.
Therefore, the answer is B) 777 torr.