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If 2.3 mol of a gas occupies 50.5 mL how many moles of the gas will occupy 85.5 mL at the same temperature and pressure?

2 Answers

3 votes

Answer: The number of moles of gas is 3.89 moles.

Step-by-step explanation:

To calculate the number of moles for given volume, we use the equation given by Avogadro's Law.

This law states that volume is directly proportional to the number of moles of the gas at constant pressure and temperature.


V\propto n (At constant temperature and pressure)

Or,


(V_1)/(n_1)=(V_2)/(n_2)

where,


V_1\text{ and }n_1 are initial volume and number of moles


V_2\text{ and }n_2 are final volume and number of moles

We are given:


V_1=50.5mL\\n_1=2.3mol\\V_2=85.5mL\\n_2=?mol

Putting values in above equation, we get:


(50.5mL)/(2.3mol)=(85.5mL)/(n_2)\\\\n_2=3.89mol

Hence, the number of moles of a gas is 3.89 moles.

User Dmitriy Apollonin
by
6.6k points
4 votes
Using the ideal gas equation:
PV = nRT, we can form:
V/n = constant
Thus,
V₁/n₁ = V₂/n₂
n₂ = 2.3 x 85.5/50.5
= 3.89 moles
User Vova Yatsyk
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5.8k points