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Question

Physics Question on Kinetic molecular theory of gases

A balloon is filled at 27C27^{\circ}C and 11 atm pressure by 50m3He50\, m^3\,He. At -3C3^{\circ}C and 0.50.5 atm pressure, the volume of HeHe will be

A

700m3700 \,m^3

B

900m3900 \,m^3

C

1000m31000 \,m^3

D

500m3500 \,m^3

Answer

900m3900 \,m^3

Explanation

Solution

p1V1T1=p2V2T2\frac{p_{1} V_{1}}{T_{1}}=\frac{p_{2} V_{2}}{T_{2}} or V2=p1V1T2p2T1V_{2}=\frac{p_{1} V_{1} T_{2}}{p_{2} T_{1}} V2=1×500×(2733)0.5×(273+27)\therefore V_{2} =\frac{1 \times 500 \times(273-3)}{0.5 \times(273+27)} V2=1×500×2700.5×300V_{2} =\frac{1 \times 500 \times 270}{0.5 \times 300} V2=900m3V_{2} =900\, m ^{3}