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Question: Hydrogen gas is filled in a balloon at 20°C. If temperature is made 40°C, pressure remaining same, w...

Hydrogen gas is filled in a balloon at 20°C. If temperature is made 40°C, pressure remaining same, what fraction of hydrogen will come out

A

0.07

B

0.25

C

0.5

D

0.75

Answer

0.07

Explanation

Solution

As VTV \propto TV2V1=T2T1\frac{V_{2}}{V_{1}} = \frac{T_{2}}{T_{1}}V2=(313293)V1V_{2} = \left( \frac{313}{293} \right)V_{1}

Fraction of gas comes out =V2V1V1=(313293)V1V1V1=20293=0.07= \frac{V_{2} - V_{1}}{V_{1}} = \frac{\left( \frac{313}{293} \right)V_{1} - V_{1}}{V_{1}} = \frac{20}{293} = 0.07.