How many moles of water, H2O, contain 2.0×1022 molecules of water? (See the hints for assistance in interpreting scientific notation.)

Express the quantity in moles to two significant figures.


Verified Answer :

Answer : The number of moles of water is, \(3.3\times 10^{-2}\)

Solution : Given,

Number of water molecules = \(2.0\times 10^{22}\)

As we know that 1 mole of water molecule contains \(6.022\times 10^{23}\) number of water molecules.

As, \(6.022\times 10^{23}\) number of water molecules present in 1 mole  of water molecule

So, \(2.0\times 10^{22}\) number of water molecules present in \(\frac{2.0\times 10^{22}}{6.022\times 10^{23}}=3.3\times 10^{-2}\) mole  of water molecule

Therefore, the number of moles of water is, \(3.3\times 10^{-2}\)

0.033 moles of water (H2O) contain 2.0 × 10²² molecules of water.

HOW TO CALCULATE NUMBER OF MOLES:

  • The number of moles of a substance can be calculated by dividing the number of molecules in the substance by Avogadro's number:

  • no. of moles = no. of molecules × 6.02 × 10²³

  • According to this question, there are 2.0 × 10²² molecules of water. The number of moles can be calculated as follows:

  • no. of moles = 2.0 × 10²² ÷ 6.02 × 10²³

  • no. of moles = 2/6.02 × 10²²-²³

  • no. of moles = 0.332 × 10-¹

  • no. of moles = 0.033 moles

  • Therefore, 0.033 moles of water (H2O) contain 2.0 × 10²² molecules of water.

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