Dimethyl ether gaseous phase decomposition is- CH3OCH3- CH4-H2-CO at 750 K having rate constant 6-72- 10-3 min-1- The time in which initial pressure of 400 mm in closed container becomes 750 mm in hours to the nearest integer is-

CH_3OCH_3→ CH_4+H_2+CO a=400 mm, x=750 mm 400 mm/2=175 mm, a x=400 mm 175 mm=225 mm t=2.303/tlog a/a x=2.303/6.72 × 10^ 3 log400 ...

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Standard XII

Chemistry

Elevation in Boiling Point

Dimethyl ethe...

Question

Dimethyl ether gaseous phase decomposition is: $C H_{3} O C H_{3} \to C H_{4} + H_{2} + C O$ at 750 K having rate constant $6.72 \times 10^{- 3} m i n^{- 1}$ . The time in which initial pressure of 400 mm in closed container becomes 750 mm in hours (to the nearest integer) is________.

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Solution

$C H_{3} O C H_{3} \to C H_{4} + H_{2} + C O$
$a = 400 m m, x = \frac{750 m m - 400 m m}{2} = 175 m m, a - x = 400 m m - 175 m m = 225 m m$
$t = \frac{2.303}{t} l o g \frac{a}{a - x} = \frac{2.303}{6.72 \times 10^{- 3}} l o g \frac{400 m m}{225 m m} = 85.64$ .
Hence, the time in which the initial pressure of 400 mm in closed container becomes 750 mm is 85.64 min.

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Dimethyl ether gaseous phase decomposition is: CH3OCH3→CH4+H2+CO at 750 K having rate constant 6.72×10−3min−1. The time in which initial pressure of 400 mm in closed container becomes 750 mm in hours (to the nearest integer) is________.

CH3OCH3→CH4+H2+COa=400mm,x=750mm−400mm2=175mm,a−x=400mm−175mm=225mmt=2.303tlogaa−x=2.3036.72×10−3log400mm225mm=85.64.Hence, the time in which the initial pressure of 400 mm in closed container becomes 750 mm is 85.64 min.

Dimethyl ether gaseous phase decomposition is: $C H_{3} O C H_{3} \to C H_{4} + H_{2} + C O$ at 750 K having rate constant $6.72 \times 10^{- 3} m i n^{- 1}$ . The time in which initial pressure of 400 mm in closed container becomes 750 mm in hours (to the nearest integer) is________.