The number of molecules in the breath: 2.71 × 10²² molecules
PV = nRT denotes the ideal gas equation. In this equation. P stands for the ideal gas's pressure, V for its volume, n for the total amount of ideal gas expressed in moles, R for the universal gas constant, and T for temperature in this equation.
Given that:
Pressure (P) = 740.0 torr
= (740.0/760) atm
= 0.9737 atm
Volume (V) = 1.05 L
Temperature (T) = 3.7°C
= (3.7+273) K
= 276.7 K
find the number of moles using:
P×V = n×R×T
0.9737 atm × 1.05 L = n × 0.08206 atm.L/mol.K × 276.7 K
or, n = 4.5 × 10⁻² mol
Thus, the number of molecules = number of mol × Avogadro’s number
= 4.5 × 10⁻² mol × (6.023 × 10²³) molecules/mol
= 2.71 × 10²² molecules
Answer: 2.71 × 10²² molecules.
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