Nitrogen gas is filled in a container of volume 2.32 L at 32°C and 4.7 atm pressure. Calculate the number of moles of the gas.

Monjur Alahi

Nitrogen gas is filled in a container of volume 2.32 L at 32°C and 4.7 atm pressure. Calculate the number of moles of the gas.


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Salim Ahmed Kawsar

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Given : 

V = 2.32 L, 

P = 4.7 atm, 

T = 32°C = 32 + 273.15 K 

= 305.15 K 

R = 0.0821 L atm K-1 mol-1

To find : 

n = number of moles of gas 

Formula : 

PV = nRT 

Calculation : 

According to ideal gas equation,

PV = nRT 

∴ n = \(\frac{PV}{RT}\) 

= \(\frac{4.7\times 2.32}{0.0821 \times 305.15}\) 

= 0. 435 moles

∴ Number of moles of N2 gas in the given volume is 0.435 moles.

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