1.

calculate the volume and number of molecules of CO2 liberated at STP. If caco3 treated with 36.5g of HCL .( Ca40u,0=16u,c=12u,cl= 35.5)​

Answer»

Given :-

To Find :-

  • Volume and number of molecules of CO₂

Solution :-

  • Let's balance the given CHEMICAL reaction at first!

{\pink{\underline{\boxed{\sf{  CaCO₃ + 2HCl  ➞  CaCl₂ + H₂O + CO₂}}}\bigstar}} \; \; \; \; \;\;\;\;

Here, It is clear that:-

  • 2 mole of HCL when reacted with 1 mole of CaCO₃ gives 1 mole of CO₂.Molar Mass of HCL = 35.5 + 1 = 36.5 g

⠀⠀ \longrightarrow \sf Num_{(mole)} = Mass given / Molar mass\\

⠀⠀ \longrightarrow \sf Num_{( mole)} = \dfrac{36.5 }{36.5 }\\

⠀⠀ \purple{\longrightarrow  \sf Num_{( mole)} = 1 mol}\\

  • 2 mole of HCl produces 1 mole of CO₂ so 1 mole of HCl will produce 0.5 mole of CO₂

⠀⠀ \longrightarrow \sf Num_{(moles)} = \dfrac{ Volume}{ 22.4}\\

⠀⠀ \longrightarrow \sf  0.5 = \dfrac{ Volume }{22.4}\\

⠀⠀ \longrightarrow \sf  Volume = 22.4 \times  0.5\\

⠀⠀ \purple{\longrightarrow \sf Volume = 11.2 litres}\\

⠀⠀ \longrightarrow \sf Num_{( molecules)} = moles × Avogadro Number\\

⠀⠀ \longrightarrow \sf Num_{( molecules)} = 0.5 × 6.022 × 10²³\\

⠀⠀ \purple{\longrightarrow \sf Num_{(molecules)} = 3.011 × 10²³ molecules}\\

Hence,

  • Volume = 11.2 litres
  • Number of molecules = 3.011 × 10²³

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