What is the volume (in $\mathrm{dm}^3$ ) occupied by $75 \mathrm{~g}$ ethane at S.T.P.?

What is the volume (in $\mathrm{dm}^3$ ) occupied by $75 \mathrm{~g}$ ethane at S.T.P.?
  1. 60.0
  2. 56.0
  3. 22.4
  4. 44.8

Solution

Number of moles of ethane $\left(\mathrm{C}_2 \mathrm{H}_6\right)=\frac{75}{30}=2.5$ Volume of gas at S.T.P $=$ moles $\times 22.4 \mathrm{~L}$ $\begin{aligned} & =2.5 \times 22.4 \\ & =56 \mathrm{~L} \\ & =56 \mathrm{dm}^3 \\ & \left(1 \mathrm{~L}=1 \mathrm{dm}^3\right) \end{aligned}$

Asked in: MHT CET 2021 (21 Sep Shift 1)

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