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6. which of the following is the mass in grams of 4.25 × 10⁻³ mol of n₂…

Question

  1. which of the following is the mass in grams of 4.25 × 10⁻³ mol of n₂?

options:
2.35 × 10⁻⁴ g
5.95 × 10⁴ g
1.52 × 10² g
1.19 × 10⁵ g

Explanation:

Step1: Find molar mass of \(N_2\)

Molar mass of \(N\) is \(14.01\space g/mol\), so for \(N_2\), it's \(2\times14.01 = 28.02\space g/mol\).

Step2: Use mass - mole formula (\(mass = moles\times molar\space mass\))

Given moles \(n = 4.25\times10^{3}\space mol\), molar mass \(M = 28.02\space g/mol\).
\(mass=4.25\times 10^{3}\space mol\times28.02\space g/mol\)
\(=4.25\times28.02\times 10^{3}\space g\)
\(=119.085\times 10^{3}\space g\)
\(=1.19085\times 10^{5}\space g\approx1.19\times 10^{5}\space g\)

Answer:

\(1.19\times 10^{5}\space g\) (the option with \(1.19\times 10^{5}\space g\))