A cylinder with a capacity of 5 * 10 ^ -3 m3 contains 1 mol of gas. what is the concentration of molecules in the balloon?

univerkov | August 10, 2021 | education

A cylinder with a capacity of 5 * 10 ^ -3 m3 contains 1 mol of gas. what is the concentration of molecules in the balloon? calculate the concentration of molecules in the cylinder, if half the mass of the gas remains in it?

Data: V (capacity of the indicated cylinder) = 5 * 10 ^ -3 m3; ν1 (initial amount of substance) = 1 mol; m2 (final gas mass) = 0.5m1 (initial mass).

Constants: Na (Avogadro’s number) = 6.02 * 10 ^ 23 mol-1.

1) Initial concentration of molecules: n1 = N / V = Na * ν1 / V = 6.02 * 10 ^ 23 * 1 / (5 * 10 ^ -3) = 1.204 * 10 ^ 26 m-3.

2) The concentration of molecules after reducing the mass of gas: n2 = N / V = (m2 / M * Na) / V = (0.5m1 / M * Na) / V = 0.5 * ν1 * Na / V = 0.5 * 1 * 6.02 * 10 ^ 23 / (5 * 10 ^ -3) = 6.02 * 10 ^ 25 m-3.

Answer: The initial concentration of molecules in the indicated balloon is 1.204 * 10 ^ 26 m-3; the concentration of molecules of the remaining mass of gas is 6.02 * 10 ^ 25 m-3.

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