Join thousands of students who trust us to help them ace their exams!
Multiple Choice
At standard temperature and pressure (STP), what volume is occupied by 2.719 × 10^{13} moles of methane gas (CH_4)?
A
6.09 × 10^{14} L
B
5.44 × 10^{13} L
C
1.22 × 10^{15} L
D
2.72 × 10^{13} L
0 Comments
Verified step by step guidance
1
Recall that at standard temperature and pressure (STP), one mole of any ideal gas occupies 22.4 liters. This is a key concept in gas laws and molar volume.
Identify the given quantity: the number of moles of methane gas, which is \(2.719 \times 10^{13}\) moles.
Use the molar volume relationship to find the total volume occupied by the gas. The formula is: \(\text{Volume} = \text{moles} \times 22.4\, \text{L/mol}\).
Substitute the given number of moles into the formula: \(\text{Volume} = 2.719 \times 10^{13} \times 22.4\) liters.
Perform the multiplication to find the volume in liters. This will give you the volume occupied by the methane gas at STP.