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2 years ago

What is the volume in liters of 5.25 moles of He gas?

Chemistry

1 answer:

serious [3.7K]2 years ago

5 0

Answer:

$\boxed {\boxed {\sf 117.6 \ L \ He}}$

Explanation:

Regardless of the type of gas, 1 mole at standard temperature and pressure (STP) occupies a volume of 22.4 liters. In this case the gas is helium (He).

We can set up a ratio.

$\frac { 22.4 \ L \ He}{ 1 \ mol \ He}$

Multiply by the given number of moles.

$5.25 \ mol \ He *\frac { 22.4 \ L \ He}{ 1 \ mol \ He}$

The moles of helium will cancel.

$5.25 *\frac { 22.4 \ L \ He}{ 1 }$

$5.25 * { 22.4 \ L \ He}$

Multiply.

$117.6 \ L \ He$

5.25 moles of helium gas at STP is 117.6 liters of helium.

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Here is the full question:

Air containing 0.04% carbon dioxide is pumped into a room whose volume is 6000 ft3. The air is pumped in at a rate of 2000 ft3/min, and the circulated air is then pumped out at the same rate. If there is an initial concentration of 0.2% carbon dioxide, determine the subsequent amount in the room at any time.

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Answer:

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$e^{\frac{1}{3}t}\frac{dA}{dt}} +\frac{1}{3}e^{\frac{1}{3}t}A$ $= 0.8e^{\frac{1}{3}t$

$\frac{d}{dt}[e^{\frac{1}{3}t}A]$ $= 0.8e^{\frac{1}{3}t$

$Ae^{\frac{1}{3}t} =2.4e\frac{1}{3}t +C$

∴ $A(t) = 2.4 +Ce^{-\frac{1}{3}t$

Since A(0) = 12

Then;

$12 =2.4 + Ce^{-\frac{1}{3}}(0)$

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Hence;

$A(t) = 2.4 +9.6e^{-\frac{t}{3}}$

$A(0) = 2.4 +9.6e^{-\frac{10}{3}}$

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∴ the concentration at 10 minutes is ;

= $\frac{2.74}{6000}*100$ %

= 0.0456667 %

= 0.046% to three decimal places

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2 years ago

What is the volume in liters of 5.25 moles of He gas?​

What is the volume in liters of 5.25 moles of He gas?