A sample of oxygen gas with a volume of 3.0 m3 is at 100 C. The gas is heated so that
it expands at a constant pressure to a final volume of 6.0m^3 what is the final temperature of the gas?

Respuesta :

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

According to Charles law, if pressure remains constant, volume varies directly with temperature. so we can infer that :

[tex] \qquad\sf{\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}} [/tex]

So, we can use this formula to find out the final temperature of the gas ~

Note : Take temperature in Kelvin ( 100°C = 373 K )

[tex]\qquad \sf  \dashrightarrow \: \dfrac{3}{373} = \dfrac{6}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{6}{3} \times 373 [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 2 \times 373[/tex]

[tex]\qquad \sf  \dashrightarrow \: x =74 6 \: K[/tex]

Now, convert it to Celsius ~

i.e 746 - 273 = 473° C

So, the final temperature of the gas will be equal to 473° C