
Допоможіть вирішити задачі. 1) Лужний метал масою 5,75г без залишку прореагувати із водою. При
цьому виділився газ об*ємом 2,8л (н. у.). Визначте метал. 2) Обчисліть масу титану, яку можна одержати з титанової руди масою 80кг, якщо масова частка ТіО2 в ній становить 93%, а масова частка виходу - 90%

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Task 1: Determining the Alkali Metal
To determine the alkali metal that reacted with water, we need to consider the molar volume of the gas produced. The molar volume of any gas at standard temperature and pressure (STP) is approximately 22.4 liters per mole.
Given: - Mass of the alkali metal = 5.75 g - Volume of gas produced = 2.8 L (at STP)
To find the molar volume of the gas produced, we can use the following equation:
Molar volume = Volume of gas (L) / Number of moles of gas
To find the number of moles of gas, we need to convert the mass of the alkali metal to moles using its molar mass. The molar mass of an alkali metal is the same as its atomic mass.
Let's calculate the molar volume and determine the alkali metal:
1. Calculate the number of moles of gas: - Convert the volume of gas to moles using the molar volume at STP: Number of moles of gas = Volume of gas (L) / Molar volume (L/mol)
2. Calculate the molar mass of the alkali metal: - Divide the mass of the alkali metal by the number of moles of gas to find the molar mass: Molar mass = Mass of alkali metal (g) / Number of moles of gas
3. Determine the alkali metal: - Compare the calculated molar mass with the molar masses of alkali metals to identify the alkali metal that matches.
Let's perform the calculations step by step.
Step 1: Calculate the number of moles of gas
Given: - Volume of gas produced = 2.8 L (at STP)
Using the molar volume at STP (22.4 L/mol), we can calculate the number of moles of gas:
Number of moles of gas = 2.8 L / 22.4 L/mol
Calculating the number of moles of gas: Number of moles of gas = 0.125 mol
Step 2: Calculate the molar mass of the alkali metal
Given: - Mass of the alkali metal = 5.75 g
Using the number of moles of gas (0.125 mol) and the mass of the alkali metal (5.75 g), we can calculate the molar mass:
Molar mass = 5.75 g / 0.125 mol
Calculating the molar mass of the alkali metal: Molar mass = 46 g/mol
Step 3: Determine the alkali metal
Now that we have calculated the molar mass of the alkali metal (46 g/mol), we can compare it with the molar masses of alkali metals to identify the alkali metal that matches.
Based on the molar mass, the alkali metal that reacted with water is potassium (K), as its molar mass is approximately 39 g/mol [[1]].
Therefore, the alkali metal that reacted with water is potassium (K).
Task 2: Calculating the Mass of Titanium
To calculate the mass of titanium that can be obtained from the titanium ore, we need to consider the mass fraction of TiO2 in the ore and the yield.
Given: - Mass of titanium ore = 80 kg - Mass fraction of TiO2 in the ore = 93% - Yield = 90%
To calculate the mass of titanium, we can use the following equation:
Mass of titanium = Mass of titanium ore (kg) * Mass fraction of TiO2 * Yield
Let's perform the calculation step by step.
Given: - Mass of titanium ore = 80 kg - Mass fraction of TiO2 in the ore = 93% - Yield = 90%
Step 1: Calculate the mass of titanium
Using the given values, we can calculate the mass of titanium:
Mass of titanium = 80 kg * 0.93 * 0.90
Calculating the mass of titanium: Mass of titanium = 66.96 kg
Therefore, the mass of titanium that can be obtained from the titanium ore is approximately 66.96 kg.
Please let me know if there's anything else I can help you with!


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