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
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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