How many moles are in 2.98×10^23 particles?

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How many moles are in 2.98×10^23 particles?

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Ngọc Hoa 4 years 2021-07-26T23:52:47+00:00 1 Answers 10 views 0

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  1. thanhha
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    2021-07-26T23:54:39+00:00
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    Answer:

    \boxed {\boxed {\sf 0.495 \ mol}}

    Explanation:

    We are given a number of particles and asked to convert to moles.

    1. Convert Particles to Moles

    1 mole of any substance contains the same number of particles (atoms, molecules, formula units) : 6.022 *10²³ or Avogadro’s Number. For this question, the particles are not specified.

    So, we know that 1 mole of this substance contains 6.022 *10²³ particles. Let’s set up a ratio.

    \frac { 1 \ mol }{6.022*10^{23 } \ particles}}

    We are converting 2.98*10²³ particles to moles, so we multiply the ratio by that value.

    2.98*10^{23} \ particles *\frac { 1 \ mol }{6.022*10^{23 } \ particles}}

    The units of particles cancel.

    2.98*10^{23} *\frac { 1 \ mol }{6.022*10^{23 } }}

    \frac { 2.98*10^{23}}{6.022*10^{23 } }} \ mol

    0.4948522086 \ mol

    2. Round

    The original measurement of particles (2.98*10²³) has 3 significant figures, so our answer must have the same.

    For the number we found, 3 sig figs is the thousandth place.

    The 8 in the ten-thousandth place (0.4948522086) tells us to round the 4 up to a 5 in the thousandth place.

    0.495 \ mol

    2.98*10²³ particles are equal to approximately 0.495 moles.

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