Verified Solution • 2025–26 Session moderate

QJEEM21Ch8f1c: JEE Main 2021 Chemistry - Class 11 JEEM21Ch8f1c Solution: The volume occupied by 4.75 g of acetylene gas at 50 C and 740…

The volume occupied by 4.75 g of acetylene gas at 50 ∘^\circ C and 740 mmHg pressure is __________ L. (Rounded off to the nearest integer)

[Given R = 0.0826 L atm K −- 1 mol −- 1]

Step-by-Step Verified Solution

Given, mass of C2H2(g) = 4.75 g

Molecular weight = 26 g/mol

Temperature = 50 + 273 = 323 K

Pressure = 740 torr/mm of Hg

Pressure = 740760{{740} \over {760}} atm

R = 0.0821 L atm mol −- 1 K −- 1

Hence, no. of mole n = 4.7526{{4.75} \over {26}} mol

Formula used, pV = nRT (ideal gas)

⇒V=nRTp=4.7526×0.0821×323(740/760)\Rightarrow V = {{nRT} \over p} = {{4.75} \over {26}} \times {{0.0821 \times 323} \over {(740/760)}}

=96314.07819240=5.0059= {{96314.078} \over {19240}} = 5.0059 L = 5 L

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