January 3rd, 2010

Mixture of helium and oxygen are used in scuba diving.?


This mixture contains 1.96 g He and 60.8 g O2 confided in a 5.00 L tank at 25.0 degrees celsius. What are:

A) the mole fractions of two gases?
B) their partial pressures?
C) total pressure?

find moles, using molar masses:
1.96 g He @ 4.00 g/mole = 0.49 moles Helium

60.8 g O2 @ 32.0 g/mol = 1.90 moles oxygen

total moles = 2.39 moles
===========================

A) the mole fractions of two gases?

Helium:
0.49 moles Helium / 2.39 total moles = 0.205 helium’s mole fraction

1.90 mole O2 / 2.39 total moles = 0.795 oxygen’s mole fraction

=================================

B) their partial pressures?

first find total pressure:
PV=nRT
P(5.00L) = 2.39 moles (0.08206 Litre-atm / mol-K)(298K)
total pressure = 11.69 atm

B) their partial pressures?
Helium:
11.69 (0.205 helium’s mole fraction) = 2.396 atm Helium
your answer(3sigfigs): 2.40 atm Helium partial pressure

Oxygen:
11.69 – 2.40 = 9.29 atm oxygen
your answer is: 9.29 atm Oxygen partial pressure
===============================
C) total pressure?

your answer(3sigfigs): 11.7 atm

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One Comment to “Mixture of helium and oxygen are used in scuba diving.?”

  1. January 3rd, 2010

    Steve O Says :

    find moles, using molar masses:
    1.96 g He @ 4.00 g/mole = 0.49 moles Helium

    60.8 g O2 @ 32.0 g/mol = 1.90 moles oxygen

    total moles = 2.39 moles
    ===========================

    A) the mole fractions of two gases?

    Helium:
    0.49 moles Helium / 2.39 total moles = 0.205 helium’s mole fraction

    1.90 mole O2 / 2.39 total moles = 0.795 oxygen’s mole fraction
    =================================

    B) their partial pressures?

    first find total pressure:
    PV=nRT
    P(5.00L) = 2.39 moles (0.08206 Litre-atm / mol-K)(298K)
    total pressure = 11.69 atm

    B) their partial pressures?
    Helium:
    11.69 (0.205 helium’s mole fraction) = 2.396 atm Helium
    your answer(3sigfigs): 2.40 atm Helium partial pressure

    Oxygen:
    11.69 – 2.40 = 9.29 atm oxygen
    your answer is: 9.29 atm Oxygen partial pressure
    ===============================
    C) total pressure?

    your answer(3sigfigs): 11.7 atm
    References :

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