Question #194532

A balloon contains 46.3 L of Helium at 42 oC, and 2.01 atm is released into the air. At a certain altitude, the temperature falls to 21 oC, and the pressure falls to 0.25 atm. What is the volume of the balloon under these conditions?

A. 3.5 L

B. 35.0 L

C. 350 L

D. 3500 L

E. None of the Above

Expert's answer

We have two conditions:

First condition:

"V_1=46.3l"

"T_1=42^0 C"

"P1=2.01atm"

Second condition:

"letV_2=V_2"

"T_2=21^0C"

"P_2=0.25atm"

Now by the help of gas equation:

"\\dfrac{P_1V_1}{T_1}=\\dfrac{P_2V_2}{T_2}"

"\\dfrac{2.01\\times46.3}{42}=\\dfrac{0.25\\times V_2}{21}"

"V_2=186.126l"

So our answer is **Option E **means none of the above is correct.

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