Calculate mass in kg of $4.48 \mathrm{dm}^3$ carbon dioxide at STP.

Calculate mass in kg of $4.48 \mathrm{dm}^3$ carbon dioxide at STP.
  1. $2.2 \times 10^{-3}$
  2. $4.4 \times 10^{-3}$
  3. $6.6 \times 10^{-3}$
  4. $8.8 \times 10^{-3}$

Solution

$\begin{aligned} 22.4 \mathrm{dm}^3 \mathrm{CO}_2 \text { at } \mathrm{STP} & =1 \mathrm{~mol}=44 \mathrm{~g} \text { of } \mathrm{CO}_2 \\ \therefore \quad 4.48 \mathrm{dm}^3 \text { of } \mathrm{CO}_2 \text { at } \mathrm{STP} & =\frac{44 \mathrm{~g} \times 4.48 \mathrm{dm}^3}{22.4 \mathrm{dm}^3} \\ & =8.8 \mathrm{~g} \text { of } \mathrm{CO}_2 \\ & =8.8 \times 10^{-3}{\mathrm{~kg~} \mathrm{~of~} \mathrm{CO}_2}^2\end{aligned}$

Asked in: MHT CET 2024 (09 May Shift 2)

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