College

What is the volume of 0.881 mole of a gas at standard temperature and pressure?

A. 0.0401 L
B. 19.7 L
C. 22.4 L
D. 39.4 L

Answer :

To find the volume of 0.881 mole of a gas at standard temperature and pressure (STP), we can use the fact that 1 mole of an ideal gas occupies 22.4 liters at STP.

Here's how you can calculate it step by step:

1. Identify the number of moles of the gas: You are given 0.881 mole.

2. Use the volume occupied by one mole of gas at STP: At standard temperature and pressure, 1 mole of gas occupies 22.4 liters.

3. Calculate the volume for 0.881 mole:
- Multiply the number of moles by the volume per mole:
[tex]\( 0.881 \, \text{moles} \times 22.4 \, \text{L/mole} = 19.7344 \, \text{L} \)[/tex]

4. Round the result to a sensible number of significant figures:
- The options given round to approximately 19.7 L.

So, the volume of 0.881 mole of gas at standard temperature and pressure is approximately 19.7 liters.