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Which of the following gases will have least volume if 10 g of each gas is taken at same temperature and pressure?A.CO2B.N2C.CH4D.HCl

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Solution

The volume of a gas at a given temperature and pressure is determined by the number of moles of the gas, according to Avogadro's law. This means that the gas with the least number of moles will have the smallest volume.

To find the number of moles, we use the formula:

Number of moles = mass / molar mass

The molar masses of the gases are approximately:

CO2: 44 g/mol N2: 28 g/mol CH4: 16 g/mol HCl: 36.5 g/mol

So, the number of moles for each gas is:

CO2: 10 g / 44 g/mol = 0.227 moles N2: 10 g / 28 g/mol = 0.357 moles CH4: 10 g / 16 g/mol = 0.625 moles HCl: 10 g / 36.5 g/mol = 0.274 moles

Therefore, CO2 will have the least volume because it has the least number of moles. So, the answer is A. CO2.

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