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An air sample in an elastic bag has a volume of 3. 8 L when the temperature is 10 C. What will be the volume in liters when it is heated to 150 C?

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

At 10°C :

  • Volume = 3.8 L

Temperature (in Kelvin) :

[tex]\qquad \tt \dashrightarrow \: 10 + 273[/tex]

[tex]\qquad \tt \dashrightarrow \: 283 \: k[/tex]

Now,

Temperature in Kelvin (at 150° C)

[tex]\qquad \tt \dashrightarrow \:150 + 173[/tex]

[tex]\qquad \tt \dashrightarrow \:323 \: k[/tex]

Now, let's find the volume (x) [ assume pressure to be constant ]

[tex]\qquad \tt \dashrightarrow \: \dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}[/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{3.8}{283} = \dfrac{x}{323}[/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{3.8}{283} \times 323 = {x}[/tex]

[tex]\qquad \tt \dashrightarrow \: {x} \approx4.34 \: \: litres[/tex]

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