Answer:
volume = 0.013 m³
Step-by-step explanation:
The question asks us to calculate the volume of 0.58 moles of H₂ gas at STP.
To do this, we must use the ideal gas equation:
,
where:
• p = pressure in Pa
• V = volume in m³
• n = number of moles
• R = molar gas constant (8.31 Jkg⁻¹K⁻¹)
• T = temperature in K
From the question, we know that the number of moles of H₂ is 0.58. Therefore, n = 0.58. We also know that the volume is asked for when the gas is at STP, therefore: T = 273 K, and p = 101.3 × 10³ Pa.
Using this data and the formula above, we can calculate the volume of the gas:
pV = nRT
⇒ 101.3 × 10³ × V = 0.58 × 8.31 × 273
⇒ V =

⇒ V = 0.013 m³
Therefore, the volume of the gas is 0.013 m³.