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At STP5.6 "litre" of a gas weigh 60 g. T...

At `STP5.6 "litre"` of a gas weigh `60 g`. The vapour density of gas is:

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To find the vapor density of the gas given that at STP, 5.6 liters of the gas weighs 60 grams, we can follow these steps: ### Step 1: Understand the Concept of Vapor Density Vapor density is defined as the ratio of the molar mass of the gas to the molar mass of hydrogen (H₂). The molar mass of hydrogen (H₂) is 2 g/mol (since the atomic mass of hydrogen is 1 g/mol). ### Step 2: Calculate the Molar Mass of the Gas At STP (Standard Temperature and Pressure), 22.4 liters of any gas has a mass equal to its molar mass. We are given that 5.6 liters of the gas weighs 60 grams. Using the unitary method, we can find the mass of 1 liter of the gas: \[ \text{Mass of 1 liter} = \frac{60 \text{ g}}{5.6 \text{ L}} = \frac{60}{5.6} \approx 10.71 \text{ g/L} \] Now, to find the mass of 22.4 liters: \[ \text{Mass of 22.4 liters} = \left(\frac{60 \text{ g}}{5.6 \text{ L}}\right) \times 22.4 \text{ L} = 10.71 \text{ g/L} \times 22.4 \text{ L} \approx 240 \text{ g} \] Thus, the molar mass of the gas is approximately 240 g/mol. ### Step 3: Calculate the Vapor Density Now that we have the molar mass of the gas, we can calculate the vapor density: \[ \text{Vapor Density} = \frac{\text{Molar Mass of Gas}}{\text{Molar Mass of H}_2} = \frac{240 \text{ g/mol}}{2 \text{ g/mol}} = 120 \] ### Final Answer The vapor density of the gas is **120**. ---
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