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Question

Question: A balloon contains \(500m^{3}\) of helium at 27°C and 1 atmosphere pressure. The volume of the heliu...

A balloon contains 500m3500m^{3} of helium at 27°C and 1 atmosphere pressure. The volume of the helium at – 3°C temperature and 0.5 atmosphere pressure will be

A

500m3500m^{3}

B

700m3700m^{3}

C

900m3900m^{3}

D

1000m31000m^{3}

Answer

900m3900m^{3}

Explanation

Solution

P1V1T1=P2V2T21×500300=0.5×V2270V2=900m3\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}} \Rightarrow \frac{1 \times 500}{300} = \frac{0.5 \times V_{2}}{270} \Rightarrow V_{2} = 900m^{3}