If the volume occupied by the air in a bicycle pump is 525 cm3, and the pressure changes from 73.2 kPa to 122.5 k.Pa as the pist
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Considering the ideal gas law, there are 279.42 moles of acetylene in the tank.
<h3>Definition of ideal gas</h3>Ideal gases are a simplification of real gases that is done to study them more easily. It is considered to be formed by point particles, do not interact with each other and move randomly. It is also considered that the molecules of an ideal gas, in themselves, do not occupy any volume.
<h3>Ideal gas law</h3>An ideal gas is characterized by three state variables: absolute pressure (P), volume (V), and absolute temperature (T). The relationship between them constitutes the ideal gas law, an equation that relates the three variables if the amount of substance, number of moles n, remains constant and where R is the molar constant of gases:
P×V = n×R×T
<h3>Moles of acetylene</h3>In this case, you know:
- P= 1765 kPa= 17.4192 atm (being 101.325 kPa= 1 atm)
- V= 390 L
- n= ?
- R= 0.082
- T= 23.5 °C= 296.5 K (being 0 °C= 273 K)
Replacing in the ideal gas law:
17.4192 atm× 390 L = n×0.082 × 296.5 K
Solving:
<u><em>n= 279.42 moles</em></u>
Finally, there are 279.42 moles of acetylene in the tank.
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