How Much Space Does 0.736 kg of Oxygen Occupy at 1°C and 105 Pa?

In summary, the conversation discusses how to find the volume occupied by a mass of molecular oxygen given its pressure and temperature. The equation PV=nRT is used, with n representing the number of moles. After some calculations, it is determined that the correct answer can be found by dividing the mass of the oxygen by its molar mass.
  • #1
cstout
37
0

Homework Statement


A mass of 0.736 kg of molecular oxygen is contained in a cylinder at a pressure of 1.0 × 105 Pa and a temperature of 1°C. What volume does the gas occupy?


Homework Equations



PV=nRT

V=nRT/P

The Attempt at a Solution




n=(.736)(1000)/16 = 46


V = (46)(8.31)(274.15)/(1x10^5)

where n = 46
R = 8.31 J/K/mol
T = 274.15k
P = 1x10^5

but that is not the correct answer, what am i doing wrong??
 
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  • #2
Molecular oxygen is 0_2, two atoms of oxygen per molecule. That makes the molar mass 32g.
 
  • #3
so would i multiply the mass of .736(1000)32 to find the n, or basically i still am unsure of finding the n
 
  • #4
Multiply? You divided before and that was correct. One mole of O2 has mass 32g. So how many moles is .736kg?
 
  • #5
ahh..thanks, i got it now
 

1. What is the volume of a molecule of oxygen?

The volume of a single molecule of oxygen is incredibly small, measuring only about 0.0000000000000000000001 cubic meters (1.0 x 10^-28 m^3).

2. How is the volume of a molecule of oxygen determined?

The volume of a molecule of oxygen is determined through calculations based on its atomic structure and the known dimensions of its atoms.

3. How does the volume of a molecule of oxygen compare to other molecules?

The volume of a molecule of oxygen is relatively small compared to other molecules, such as water (0.0000000000000000000000000000000000000000001 m^3) and carbon dioxide (0.0000000000000000000000000000000000001 m^3).

4. Can the volume of a molecule of oxygen change?

The volume of a molecule of oxygen is constant at standard temperature and pressure. However, under extreme conditions, such as high pressure or low temperature, the volume of a molecule of oxygen may change slightly.

5. Why is the volume of a molecule of oxygen important to scientists?

The volume of a molecule of oxygen is important to scientists because it helps them understand the properties and behavior of oxygen at the molecular level, which is crucial in various fields such as chemistry, biology, and physics.

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