High School

How many grams of [tex]O_2[/tex] gas are in a 3700 mL container at a pressure of 775 mmHg and a temperature of 33°C?

Answer :

4.8g is the mass of oxygen gas which are in a 3700 mL container at a pressure of 775 mmHg at 33oC.

What is mass?

A body's mass is an inherent quality. Prior to the discoveries of the atom as well as particle physics, it was widely considered to be tied to the amount of matter of a physical body. It was discovered that, despite having the same quantity of matter in theory, different atoms and elementary particles have varied masses.

There are various conceptions of mass in contemporary physics that are theoretically different but physically equivalent. The resistance of the body to accelerate (change of velocity) in the presence of a net force can be measured experimentally as mass.

PV=nRT

P= 775 mmHg/760 = 1.02 atm

V=3700 mL/1000 = 3.7L

n=

R=0.0821L× atm/k ×mol

T=33 C + 273=306K

1.02×3.7/0.0821×306= n

n=0.15 moles

mass = 0.15×32=4.8g

Therefore, 4.8g is the mass of oxygen.

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Answer:

4.8 grams

Explanation:

Use PV=nRT

P: 775 mmHg (divide by 760 mmHg to get atm) -> 1.02 atm

V: 3700 mL (divide by 1000 to get L) -> 3.7L

n: ?

R: (a constant) 0.0821L * atm/k *mol

T: 33 C (add 273 to get K) -> 306K

Move equation so n is on the side: PV/RT = n. Plug the numbers into the equation.

[tex]\frac{1.02atm * 3.7L }{306K} * \frac{K * mol}{0.0821L *atm} = 0.15 mol[/tex]

Then, convert moles to grams using the molar mass of O2 which is 32g/mol.

[tex]0.15 mol * \frac{32g}{mol}[/tex]= 4.8g