Question

Liquid methylene bromide has a density of 2.50 g/mL. A barometer is constructed using methylene bromide instead of mercury. If the atmospheric pressure is 0.950 atm, what is the height of the methylene bromide column in the barometer in cm

Answer 1

Answer:

393 cm

Explanation:

Step 1: Given and required data

• Density of liquid methylene bromide (ρ): 2.50 g/mL (2.50 g/cm³)

• Earth's gravity (g): 9.81 m/s²

• Atmospheric pressure (P): 0.950 atm

Step 2: Convert 0.950 atm to Pa (N/m²)

We will use the conversion factor 1 atm = 101325 Pa.

0.950 atm × 101325 Pa/1 atm = 9.63 × 10⁴ Pa

Step 3: Convert 2.50 g/cm³ to kg/m³

We will use the conversion factors:

• 1 kg = 10³ g

• 1 m³ = 10⁶ cm³

$\frac{2.50g}{cm^{3} } \times \frac{1kg}{10^{3}g } \times \frac{10^{6}cm^{3} }{1m^{3} } = 2.50 \times 10^{3} kg/m^{3}$

Step 4: Calculate the height (h) of the liquid column

We will use the following expression.

P = ρ × g × h

h = P / ρ × g

h = 9.63 × 10⁴ Pa / (2.50 × 10³ kg/m³) × 9.81 m/s²

h = 3.93 m = 393 cm