what is the volume inside a 0.250 l can of deodorant that starts at 25 c and 1.2 atm if the temperature is raised to 100 oc?

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08-11-2022
Chemistry

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what is the volume inside a 0.250 l can of deodorant that starts at 25 c and 1.2 atm if the temperature is raised to 100 oc?

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wiyonopaolina wiyonopaolina · Answer 1 · 2022-11-18T11:00:05+01:00

The volume inside a deodorant can is 0.199 L.

Charles’s law applies when a fixed amount of gas is in a container and the pressure is constant if the temperature increases the volume of gas also increases. The formula

[tex]\frac{V_1}{T_1} = \frac{V_2}{T_2}[/tex]

V1 = volume of gasses before the temperature rises
T1 = temperature of gasses before the temperature rises (K)
V2 = volume of gasses after the temperature rises
T2 = temperature of gasses after the temperature rises (K)

The temperature units have to be in Kelvin. Volume units can be anything as long as both volume has the same units.

When a container is heated, the gas in it will experience a temperature increase and the volume of the gas will expand. But the expansion will not exceed the contents of the container.

V2 = 0.250 L
T1 = 25 °C + 273 = 298 K
p = 1.2 atm
T2 =100 °C + 273 = 373 K

[tex]\frac{V_1}{T_1} = \frac{V_2}{T_2}[/tex]

[tex]\frac{V_1}{298} = \frac{0.25}{373}[/tex]

V1 x 373 = 298 x 0.25

[tex]V_1 = \frac{74.5}{373}[/tex]

V1 = 0.199 L

Learn more about Charles's law here: https://brainly.com/question/16927784

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