Chemistry: Agas is confined in a 0.3m diameter cylinder by a piston, on which rests a weight. the mass of the piston is 85 kg. the local acceleration of gravity is 9.807 m/s, and atmospheric pressure is 101.33 kpa. if the absolute pressure of the gas is 1.4 bar, calculate the mass in kilograms of the weight.

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Agas is confined in a 0.3m diameter cylinder by a

keundrecrowe3552

04.01.2022

Explanation:

Force applied on the gas will be as follows.

$F_{gas} = F_{atm} + (m + M) g$

As, F = pressure × area. Hence, calculate the forces as follows.

$F_{gas}$ = pressure × area

= $1.4 \times 10^{5} Pa \times \pi \times (\frac{0.3}{2})^{2}$

= $1.979 \times 10^{4}$ N

$F_{atm}$ = pressure × area

= $1.0133 \times 10^{5} \times \pi \times (\frac{0.3}{2})^{2}$

= $1.432 \times 10^{4}$ N

$F_{gas}$ - $F_{atm}$ = $5.47 \times 10^{3}$ N

Substituting the calculated values into the above formula as follows.

$F_{gas} = F_{atm} + (m + M) g$

$F_{gas} - F_{atm}$ = (m + M) g

$5.47 \times 10^{3}$ N = $(m + 85) \times 9.8$

$5.47 \times 10^{3}$ N = 9.8m + 833

m = 472.76 kg

Thus, we can conclude that the mass is 472.76 kg.

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