Question

the density of oxygen 1.43 gm/liter at 0°c and pressure 1.0 atm. if a 20 liter cylinder is filled with oxygen at pressure of 25 atm and temperature of 27°c. what is the mass of oxygen in the cylinder

Answer 1

640 g

Step-by-step explanation:

Step 1: Given and required data

• Volume of the cylinder (V): 20 L

• Pressure of the oxygen (P): 25 atm

• Temperature (T): 27 °C (300 K)

• Ideal gas constant (R): 0.082 atm.L/mol.K

Step 2: Calculate the moles of oxygen gas

We will use the ideal gas equation

P × V = n × R × T

n = P × V / R × T

n = 25 atm × 20 L / (0.082 atm.L/mol.K) × 300 K = 20 mol

Step 3: Calculate the mass corresponding to 20 moles of oxygen

The molar mass of oxygen is 32.00 g/mol.

20 mol × 32.00 g/mol = 640 g