What is the specific volume of 1kg of hydrogen at standard conditions?

• A. 11.17m³
• B. 0.840m³
• C. 0.509m³
• D. 8.31m³

Answer: (A)

The specific volume of a gas is defined as the volume occupied by a unit mass of that gas and is often measured under standard conditions, which typically include a temperature of 0°C (273.15 K) and a pressure of 1 atmosphere (101.325 kPa).

For hydrogen, at these standard conditions, the molar volume can be calculated using the ideal gas law, which states that ( V = nRT/P ). Given that hydrogen has a molar mass of approximately 2 g/mol, one kilogram of hydrogen contains about 500 moles (since 1000 g / 2 g/mol = 500 moles).

When applying the ideal gas law for 1 kg of hydrogen, we find that the volume can be calculated by substituting the values into the equation. The results show that 1 kg of hydrogen has a specific volume of about 11.17 m³.

This specific volume is significant when considering applications that involve gas storage and handling, especially in fields like refrigeration, heating, and automotive industries that may use hydrogen.

The other options reflect different volumes and are not representative of hydrogen’s specific volume at standard conditions, hence they do not accurately describe the relationship between the mass of hydrogen and its volume under