High School

What mass of sf₆ (molar mass = 146.06 g/mol) can be found in a 15.0-l tank at stp?
a. 218 g
b. 4.58 x 10⁻³ g
c. 97.7 g

Answer :

- The mass of SF₆ in a 15.0 L tank at STP can be calculated to be 97.7 g.

- Option 'c' is the correct answer.

1. Given molar mass of SF₆ = 146.06 g/mol and volume of tank = 15.0 L.

2. At STP (Standard Temperature and Pressure), 1 mole of any gas occupies 22.4 L.

3. Calculate the number of moles of SF₆ in the tank using the ideal gas law: n = PV / RT, where P = 1 atm, V = 15.0 L, R = 0.0821 L.atm/mol.K, and T = 273 K.

4. Once you have the number of moles, use the molar mass to find the mass of SF₆ in grams.

5. Mass = Number of moles * Molar mass.

6. Substituting the values, you will find the mass of SF₆ in the tank to be 97.7 g.

The correct answer is option [C].

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