Question #196984

A child receives a balloon filled with 2.42 L of helium from a vendor at an amusement park. The temperature outside is 311 K. When the child brings the balloon into an air-conditioned room, the volume of the balloon decreases to 2.30 L. What is the temperature of the air-conditioned house? Assume the pressure in the balloon stays the same.

Expert's answer

Here, "V_1=2.42L,T_1=311K,V_2=2.3L,T_2=?"

As The pressure is constant,

Using charle's law we have-

"V_1T_2=V_2T_1\\\\[9pt]\\Rightarrow2.42\\times 311=2.30\\times T_2\\\\\\\\[9pt]\\Rightarrow T_2=\\dfrac{2.42\\times 311}{2.30}=327.22K"

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