Physics: The pressure inside a gas bottle is 4120 kPa when the temperature is 29.0 °C. What will be the pressure inside the bottle, if 34.9 percent of the gas is released and the temperature of the gas drops to 5.5 °C?

Carbon Monoxide is a mixture because its a simple compound with 2 elements, carbon and oxygen are bonded together...

The pressure inside a gas bottle is 4120 kPa - id41205948963, brittanysanders

leelee85503

23.01.2022

The pressure inside the bottle is 2473 kPa

Explanation:

Combined gas law is the combination of Boyle's law, Charles's law, Avogadros law and Gay-Lussac's law.

The combined gas equation is,

$\frac{P_1V_1}{n_1RT_1}=\frac{P_2V_2}{n_2RT_2}$

where,

P_1 = initial pressure of gas = 4120 kPa

P_2 = final pressure of gas = ?

V_1 = initial volume of gas = v

V_2 = final volume of gas = v

n_1 = initial moles of gas = n

n_2 = final moles of gas = $n-\frac{34.9}{100}\times n=0.651n$

T_1 = initial temperature of gas = 29.0^oC=273+29.0=302.0K

T_2 = final temperature of gas = 5.5^oC=273+5.5=278.5K

Now put all the given values in the above equation, we get:

$\frac{4120\times v}{n\times R\times 302.0}=\frac{P_2\times v}{0.651n\times R\times 278.5}$

P_2=2473kPa

Thus the pressure inside the bottle, if 34.9 percent of the gas is released and the temperature of the gas drops to 5.5 °C is 2473 kPa

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