If 7.0 g of ethane at s.t.p occupy 5.6 dm 3 , what volume will

CHEMISTRY
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If 7.0 g of ethane at s.t.p occupy 5.6 dm3, what volume will 7.5 g of ethane at the same condition occupy? (C = 12; H =1; GMV at s.t.p = 22.4 dm3

  • A) 6.0 dm3
  • B) 5.6 dm3
  • C) 5.2 dm3
  • D) 9.4 dm3

Correct Answer: B) 5.6 dm3

Explanation

\( n = \frac{mass(m)}{Molar-mass(M)} \) \( n = \frac{Volume(v)}{Molar - Volume(v_{m})} \) combine both equations \( \frac{m}{M} = \frac{v}{V_{m}} \) M = (12 x 2) + (1 x 6) = 30 \( v = \frac{m \times V_{m}}{M} = \frac{22.4 \times 7.5}{30} = 5.6dm^{3} \)


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