Question

What is the pressure in a 29.8-L cylinder filled with 35.7 g of oxygen gas at a temperature of 312 K?

A) 2.17 atm
B) 4.34 atm
C) 6.51 atm
D) 8.68 atm

Answer 1

The pressure in the cylinder is 2.17 atm.

Step-by-step explanation:

To find the pressure in the cylinder, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

First, we need to convert the mass of oxygen gas to moles. Using the molar mass of oxygen (32 g/mol), we have:

• moles = mass (g) / molar mass
• moles = 35.7 g / 32 g/mol
• moles = 1.115625 mol

Next, we can rearrange the ideal gas law equation to solve for pressure:

• P = nRT / V
• P = (1.115625 mol) * (0.0821 L*atm/mol*K) * (312 K) / 29.8 L
• P = 2.17 atm

Therefore, the pressure in the cylinder is 2.17 atm, option A.