Calculate the number of molecules in 150ml of oxygen at 20°C and 750mm pressure.
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Calculate the number of molecules in 150ml of oxygen at 20°C and 750mm pressure.
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Answer:
From the Question,
Volume of the Gas(V) = 224 mL.
= 0.224 liter.
Temperature of the Gas(T) = 273 K.
Pressure of the Gas(T) = 2 atm
Now, Using the Formula,
PV = nRT
where, R = Gas Constant = 0.082 L-atm mol⁻¹ K⁻¹
and n = number of moles.
∴ 2 × 0.224 = n × 0.082 × 273
∴ 0.448 = 22.386 × n
⇒ n = 0.448/22.386
⇒ n = 0.02 moles.
Now,
Using the Formula,
No. of molecules = No. of moles × 6.022 × 10²³
= 0.02 × 6.022 × 10²³
= 0.121 × 10²³
Thus, the number of the molecules of the Oxygen gas is 0.121 × 10²³ molecules.
Explanation:
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