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a breath of air has a volume of 1.05 l at a pressure of 740. torr and body temperature, 37oc. calculate the number of molecules in the breath

Sagot :

The number of molecules in the breath: 2.71 × 10²² molecules

What is ideal gas equation?

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.

To know more about molecules refer to:

https://brainly.com/question/26044300

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