In case of hydrogen and oxygen at (NTP), which of the following is the same for both ?

Options

A. Average linear momentum per molecule.
B. Average (KE) per molecule.
C. (KE) per unit volume
D. (KE) per unit mass

Explanation

To solve the question regarding the properties of hydrogen and oxygen at normal temperature and pressure (NTP), we need to analyze the options given:

**Question:** In case of hydrogen and oxygen at NTP, which of the following is the same for both?

1. Average linear momentum per molecule
2. Average kinetic energy per molecule
3. Kinetic energy per unit volume
4. Kinetic energy per unit mass

**Step 1: Understanding the properties of gases at NTP**
At normal temperature and pressure, gases behave ideally. This means that their properties can be analyzed using the ideal gas law and kinetic theory.

**Step 2: Analyzing each option**
- **Average linear momentum per molecule:** This depends on both the mass and velocity of the molecules. Since hydrogen and oxygen have different molecular masses, their average linear momentum will differ. Therefore, this option is not the same for both gases.

- **Average kinetic energy per molecule:** The average kinetic energy of a gas molecule is given by the formula:
\[ KE = \frac{3}{2} k_B T \]
where \( k_B \) is the Boltzmann constant and \( T \) is the temperature. Since both gases are at the same temperature at NTP, the average kinetic energy per molecule will be the same for both hydrogen and oxygen.

- **Kinetic energy per unit volume:** This is dependent on the density of the gas and the average kinetic energy per molecule. Since hydrogen and oxygen have different densities, their kinetic energy per unit volume will also differ. Hence, this option is not the same for both gases.

- **Kinetic energy per unit mass:** This is calculated as the average kinetic energy per molecule divided by the molecular mass. Since hydrogen and oxygen have different molecular masses, their kinetic energy per unit mass will also differ. Thus, this option is not the same for both gases.

**Step 3: Conclusion**
From the analysis above, the only property that remains the same for both hydrogen and oxygen at NTP is the average kinetic energy per molecule.

**Final Answer:** The average kinetic energy per molecule is the same for both hydrogen and oxygen at NTP.

---