Question

suppose 0.709 mol0.709 mol of a gas occupy 8.07 l8.07 l at a given temperature and pressure. how many moles of gas are present in a 4.10 l4.10 l sample of the gas at the same temperature and pressure? g

Answer 1

The sample of the ideal gas quantity is 0.360 mol.

We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation

P . V = n . R . T

where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.

From the question above, we know that

n1 = 0.709 mol

V1 = 8.07 L

V2 = 4.1 L

When the temperature and pressure have the same condition, we can use the ratio of moles and volume as

V1 / V2 = n1 / n2

8.07 / 4.1 = 0.709 / n2

n2 = 0.360 mol

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