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Anarel [89]
3 years ago
11

Liquid methylene bromide has a density of 2.50 g/mL. A barometer is constructed using methylene bromide instead of mercury. If t

he atmospheric pressure is 0.950 atm, what is the height of the methylene bromide column in the barometer in cm
Chemistry
1 answer:
vova2212 [387]3 years ago
7 0

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

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