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andreyandreev [35.5K]
3 years ago
6

What would be the pressure of 1.0g of O2 contained in a 4.00L container at 293 K?

Chemistry
1 answer:
Natalka [10]3 years ago
5 0

Answer: The pressure will be equal to 0.19 atm.

Explanation:

The Ideal Gas Equation states the relationship among the pressure, temperature, volume, and number of moles of a gas.

The equation is:

PV=nRT

where P = pressure in <em>atm</em>

           V = volume in <em>L</em>

           n = numbers of moles of gas in <em>mol</em>

           R = universal gas constant = 0.08206 \frac{L-atm}{mol - K}

           T = temperature in <em>K</em>

Based on the problem,

mass of O2 = 1.0 g

V = 4.00 L

T = 293 K

mol of O2  = ?

P = ?

We need to calculate the moles of O2 before we can use the Ideal Gas Equation. To solve the number of moles, we use the equation:

no. of moles = \frac{given\ mass\ (in\ grams) }{molar\ mass\ (in\ \frac{grams}{mole}) }

The molar mass of O2 is 32 g/mol, therefore,

no. of moles = \frac{1.0g}{32\frac{g}{mol} }

no. of moles of O2 = 0.03125 mol.

Now we substitute the values into the Ideal Gas equation:

P(4.00L) = (0.03125 mol)(0.08206\frac{L-atm}{mol-K} )(293K)

Solving for P, we will get

P=\frac{(0.03125mol)(0.08206\frac{L-atm}{mol-K})(293K) }{4.00L} \\\\P= 0.1878 atm.

In correct significant figures, P is equal to 0.19 atm.

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