Calculating the Total Volume of Ethane at STP

How can we determine the total number of liters of ethane in a sample that contains 2.71 x 10^24 atoms of carbon at STP?

Answer:

The total volume of ethane in the sample containing 2.71 x 10^24 atoms of carbon at STP is 50.4 liters.

To calculate the volume of ethane at STP, we need to understand the concept of moles and the volume of gas at STP. At STP (Standard Temperature and Pressure), 1 mole of gas occupies 22.4 liters. Additionally, 1 mole of a substance contains 6.02 x 10^23 atoms of that substance.

In the given sample of ethane, there are 2.71 x 10^24 atoms of carbon. By converting this into moles, we find that it is equal to 4.50 moles of carbon. Since 2 moles of carbon make 1 mole of ethane, the sample contains 2.25 moles of ethane.

By multiplying the number of moles of ethane by the volume occupied by 1 mole (22.4 liters), we get the total volume of ethane in the sample as 50.4 liters.

Therefore, the total volume of ethane in a sample with 2.71 x 10^24 atoms of carbon at STP is 50.4 liters.

For further information on the volume of gases at STP, you can refer to this link.