Volume of the air that will be expelled from a vessel of 300 cm 3 when it is heated from 27- C to 37- C at the same pressure will beA- 310 cm 3B- 10 cm 3C- 290 cm 3D- 70 cm 3

The correct option is A 310 cm3V_2 /V_1 = T_2 /T_1 ∵ V_2 = T_2 /T_1 V_1 = 310^∘K /300^∘K × 300 cm^3 = 310 cm^3 ...

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Byju's Answer

Standard XII

Chemistry

Charles' Law

Volume of the...

Question

Volume of the air that will be expelled from a vessel of 300 cm³ when it is heated from 27^oC to 37^oC at the same pressure will be

310 cm³

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290 cm³

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10 cm³

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70 cm³

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Solution

The explanation for the correct option:
Option(A) $310 c m^{3}$
According to Charles's law, the volume of an ideal gas is directly proportional to the absolute temperature at constant pressure.
$V \infty T$
$\frac{V}{T} = a c o n s t a n t .$
$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$
Here, $V_{1} = 300 c m^{3}, T_{1} = (27 + 273) K = 300 K, T_{2} = (37 + 273) = 310 K$
$∵$ $V_{2}$ = $\frac{T_{2}}{T_{1}}$ $V_{1}$ = $\frac{310^{\circ} K}{300^{\circ} K} \times 300 c m^{3}$ = 310 $c m^{3}$
Hence, option(A) $310 c m^{3}$ is the Volume of the air that will be expelled from a vessel of $300 c m^{3}$ when it is heated from $27^{o} C$ to $37^{o} C$ at the same pressure will be $310 c m^{3}$

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Volume of the air that will be expelled from a vessel of 300 cm3 when it is heated from 27o C to 37o C at the same pressure will be

Volume of the air that will be expelled from a vessel of 300 cm³ when it is heated from 27^oC to 37^oC at the same pressure will be