Question

a cylinder of 10 litres capacity at 300 Kelvin containing the gas is used to fill balloons still finally the cylinder recorder a pressure of 10m bar the number of He atoms still present in cylinder . answer is 2.41 * 10^23

Answer 1

Answer:

From the equation PV = nRT ,

Since temperature is constant PV = constant

P1V1 = P2V2

P1= pressure of gas cylinder (initial pressure)

V1= volume of cylinder (initial volume)= 8 Ltr

P1= final pressure = 1 atm

P1= final volume= (2N + 8) Ltr

Where N = no of balloons filled

Final volume will be (2N+8) Ltr because cylinder will also occupied by the same gas {it won't become perfectly empty, some amount of gas will be left out. When pressure in cylinder drops to 1 atm, hydrogen gas inside the container will not come out, so 8 Ltr of gas (at 1 atm pressure) will be inside the cylinder} solve for N

10x8 = 2N +8

N= 36. (Maximum no of balloons that can be filled

Answer 2

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