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Question: In duma’s method \(0.52g\) of an organic compound on combustion gave \(68.6\) mL \(N_{2}\) at \(27^{...

In duma’s method 0.52g0.52g of an organic compound on combustion gave 68.668.6 mL N2N_{2} at 27oC27^{o}C and 756 mm pressure. What is the percentage of nitrogen in the compound?

A

12.22%12.22\%

B

14.93%14.93\%

C

15.84%15.84\%

D

16.23%16.23\%

Answer

14.93%14.93\%

Explanation

Solution

: V1=68.6mL,P1=756mm,T1=300KV_{1} = 68.6mL,P_{1} = 756mm,T_{1} = 300K

V2=?,P2=760mm,T2=273KV_{2} = ?,P_{2} = 760mm,T_{2} = 273K

P1V1T1=P2V2T2\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}}

At NTP , vol. of

N2,V2=P1V1T1.T2P2=756×68.6300×273760N_{2},V_{2} = \frac{P_{1}V_{1}}{T_{1}}.\frac{T_{2}}{P_{2}} = \frac{756 \times 68.6}{300} \times \frac{273}{760}

=62.09mL= 62.09mL

Percentage of nitrogen in organic compound

=2822400×V2w×100=2822400×62.090.52×10=14.93%= \frac{28}{22400} \times \frac{V_{2}}{w} \times 100 = \frac{28}{22400} \times \frac{62.09}{0.52} \times 10 = 14.93\%