Question 652: Thermodynamics & KTG

Question

A balloon is filled at $27^{\circ} \mathrm{C}$ and 1 atmospheric pressure by volume $500 \mathrm{~m}^3$ helium gas. At $-3^{\circ} \mathrm{C}$ and 0.5 atmospheric pressure, the volume of helium gas will be

Accepted Answer

Initial temperture $\left(\mathrm{T}_1ight)=27^{\circ} \mathrm{C}=300 \mathrm{~K}$
Final temperature $\left(\mathrm{T}_2ight)=-3^{\circ} \mathrm{C}=270 \mathrm{~K}$
From combined Gas Law,
$$ \frac{P_1 V_1}{T_1}=\frac{P_2 V_2}{T_2} $$
Substituting values:
$$ \begin{array}{ll} 	herefore & \frac{1 	imes 500}{300}=\frac{0.5 	imes \mathrm{V}_2}{270} \ 	herefore & \mathrm{~V}_2=\frac{5 	imes 270}{3 	imes 0.5} \ 	herefore & \mathrm{~V}_2=900 \mathrm{~m}^3 \end{array} $$

Answer

$500 \mathrm{~m}^3$

Answer

$700 \mathrm{~m}^3$

Answer

$900 \mathrm{~m}^3$

Answer

$1000 \mathrm{~m}^3$

Thermodynamics & KTG

A balloon is filled at 27^{\circ} \mathrm{C} and 1 atmospheric pressure by volume 500 \mathrm{~m}^3 helium gas. At -3^{\circ} \mathrm{C} and 0.5 atmospheric pressure, the volume of helium gas will be

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