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Orie Mayer

Nov 05, 2024

What volume is occupied by 1.00 kg of helium at 5.00◦C at a pressure of 735 Torr?

What volume is occupied by 1.00 kg of helium at 5.00 °C and a pressure of 735 Torr? Please select the correct answer from the options below:

  1. 1.06 × 10² L
  2. 5.90 × 10³ L
  3. 5.60 × 10³ L
  4. 5.97 × 10⁵ L
  5. 2.95 × 10³ L
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1 Answers

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Anonymous

Feb 21, 2025

The key to solve such kind of problems is to first be familiar with the given. Then we choose which formula will be suitable to solve this problem. Here, we’re given the pressure, temperature, the mass of the gas, and we indeed know the atomic weight of He, which is 4 g/mol, and we’re looking for the volume.

Hence. we use the ideal gas law. I’ll use the gass constant R as 0.0821 Latm/molK.

Solution:

PV = nRT

(735/760 atm)V = (1000 g / 4 g/mol)(0.0821)(278 K)

0.967105263V = (250 mol)(0.0821)(278 K)

0.967105263V = 5705.95 (Divide both sides by 0.967105263)

V = 5900.029933 or 5.9 x 10^3 L (Answer)

Choose number 2.

Hope this helps!

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Categories

Chemistry Mathematics Physics

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Volume Calculation Gas Laws Helium

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