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For a mixture of I mole He and 1 mole Ne...

For a mixture of I mole He and 1 mole Ne, select the correct statements(s)

A

pressure is same

B

temperature is same

C

volume is same

D

pressure,temperature,volume and no. of molecules are same

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the mixture of 1 mole of Helium (He) and 1 mole of Neon (Ne), we need to analyze the properties of the gases under standard temperature and pressure (STP) conditions. ### Step-by-Step Solution: 1. **Understand the Conditions**: - Standard Temperature and Pressure (STP) is defined as a temperature of 273 K and a pressure of 1 atm. 2. **Determine the Number of Particles**: - For 1 mole of any gas, the number of particles is given by Avogadro's number, which is approximately \(6.022 \times 10^{23}\) particles. - Therefore, for 1 mole of Helium, the number of particles is \(6.022 \times 10^{23}\). - Similarly, for 1 mole of Neon, the number of particles is also \(6.022 \times 10^{23}\). 3. **Calculate the Volume of Each Gas**: - Under STP conditions, 1 mole of an ideal gas occupies a volume of 22.4 liters. - Thus, the volume of 1 mole of Helium is 22.4 liters. - The volume of 1 mole of Neon is also 22.4 liters. 4. **Analyze the Mixture**: - When we mix 1 mole of Helium and 1 mole of Neon, we have a total of 2 moles of gas. - The total volume of the mixture at STP will be the sum of the volumes of the individual gases: \[ \text{Total Volume} = \text{Volume of He} + \text{Volume of Ne} = 22.4 \, \text{L} + 22.4 \, \text{L} = 44.8 \, \text{L} \] 5. **Conclusion**: - The mixture at STP has a total of 2 moles of gas, with each gas contributing equally to the number of particles and volume. - Therefore, the correct statement regarding the mixture is that the temperature, pressure, number of molecules, and volume all remain consistent with the properties of ideal gases at STP. ### Final Answer: The correct statement(s) regarding the mixture of 1 mole of Helium and 1 mole of Neon is that at STP, the temperature, pressure, number of molecules, and volume are the same for both gases. ---
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