Question: 1 bar is equal to
Options:
0.9869 atm
Weight of a 1020 cm water column
75.01 cm high mercury column
All of these
• The bar is a unit of pressure, and all the options provided are indeed equivalent to 1 bar. Let's explore each one:
-Option A: 0.9869 atm – This is the conversion factor between bar and standard atmosphere (atm).
-1 bar = 100,000 Pascals (Pa)
-1 atm = 101,325 Pa
-Therefore, 1 bar = (100,000 Pa / 101,325 Pa) atm = 0.9869 atm
-Option B: Weight of a 1020 cm water column – This relates to the hydrostatic pressure exerted by a column of water.
-Pressure = density × gravity × height
-Density of water ≈ 1000 kg/m³
-Gravity (g) ≈ 9.81 m/s²
-Height = 1020 cm = 10.2 m
-Pressure = (1000 kg/m³) × (9.81 m/s²) × (10.2 m)
-Pressure ≈ 100,000 Pa = 1 bar
-Option C: 75.01 cm high mercury column – Similar to option B, but with mercury which is much denser than water.
-Density of mercury ≈ 13,600 kg/m³
-Height = 75.01 cm = 0.7501 m
-Pressure = (13,600 kg/m³) × (9.81 m/s²) × (0.7501 m)
-Pressure ≈ 100,000 Pa = 1 bar