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Lady_Fox [76]
3 years ago
10

How many grams of oxygen gas are there in a 2.3L tank at 7.5 atm and 24° C?

Chemistry
2 answers:
jolli1 [7]3 years ago
8 0

Answer:

22.656 grams of oxygen gas are there in a 2.3L tank at 7.5 atm and 24° C

Explanation:

An ideal gas is characterized by three state variables: absolute pressure (P), volume (V), and absolute temperature (T). The relationship between them constitutes the ideal gas law:

P * V = n * R * T

where R is the molar constant of the gases and n the number of moles.

In this case you know:

  • P= 7.5 atm
  • V= 2.3 L
  • n= ?
  • R= 0.082 \frac{atm*L}{mol*K}
  • T= 24 °C= 297 °K (being 0°C=273°K)

Replacing:

7.5 atm* 2.3 L=n*0.082 \frac{atm*L}{mol*K} *297K

Solving:

n=\frac{7.5 atm* 2.3 L}{0.082 \frac{atm*L}{mol*K} *297K}

n=0.708 moles

Knowing that oxygen gas is a diatomic gas of molecular form O₂ and its mass is 32 g / mole, you can apply the following rule of three: if 1 mole contains 32 grams, 0.708 moles, how much mass will it have?

mass=\frac{0.708 moles*32 grams}{1mole}

mass= 22.656 grams

<u><em>22.656 grams of oxygen gas are there in a 2.3L tank at 7.5 atm and 24° C</em></u>

PtichkaEL [24]3 years ago
3 0

Answer:

The mass of oxygen gas is 22.66 grams

Explanation:

Step 1: Data given

Volume of tank = 2.3 L

Pressure = 7.5 atm

Temperature = 24.0°C = 273 +24 = 297 K

Step 2: Calculate moles oxygen gas

p*V = n*R*T

⇒with p = the pressure of the oxygen gas = 7.5 atm

⇒with V = the volume of the tank : 2.3 L

⇒with n = the moles of oxygen gas = TO BE DETERMINED

⇒with R = the gas constant = 0.08206L*atm/mol*K

⇒with T = the temperature = 297 K

n = (p*V- / (R*T)

n = (7.5 atm * 2.3L) / (0.08206 L*atm/mol*L * 297K)

n = 0.708 moles

Step 3: Calculate mass of oxygen gas

Mass O2 = moles O2 = molar mass O2

Moles O2 = 0.708 moles * 32.0 g/mol

Moles O2 = 22.66 grams

The mass of oxygen gas is 22.66 grams

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If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

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