How many moles of carbon is 5.10 *10^25 atoms of carbon

Explanation:

Data Given:

no. of atoms of carbon = 5.10 x 10²⁵

no. of moles of carbon = ?

Solution:

Formula will be used

    no. of moles = number of atoms / Avogadro's number

Where

Avogadro's number = 6.022 x 10²³

Put values in above formula

        no. of moles = 5.10 x 10²⁵ atoms / 6.022 x 10²³ (atoms/mol)

        no. of moles = 84.7 mol

no. of moles of carbon = 84.7 mol

in the given question, the partial pressure is calculated by using the ideal gas equation, that is, pv = nrt

here, p is pressure, v is volume = 25 l, n is number of moles = 0.0104 moles, r is gas constant = -0.0821 l.atm / mol.k

t is temperature = 273 k

p = nrt / v

p = (0.0104 mol × 0.0821 l.atm / mol.k × 273 k) / 25 l

= 0.0093 atm