Question #550c5

1 Answer
Jan 10, 2018

Answer:

The concentration is 0.200 mol/L.

Explanation:

Step 1. Calculate the moles of hydrogen chloride

We can use the Ideal Gas Law to do this:

#color(blue)(bar(ul(|color(white)(a/a)pV = nRTcolor(white)(a/a)|)))" "#

We can rearrange this equation to get

#n = (pV)/(RT)#

In this problem,

#p color(white)(l)= "100 kPa"#
#V = "0.500 L"#
#R = "8.314 kPa·L·K"^"-1""mol"^"-1"#
#T = "300 K"#

#n = (100 color(red)(cancel(color(black)("kPa"))) × 0.500 color(red)(cancel(color(black)("L"))))/(8.314 color(red)(cancel(color(black)("kPa·L·K"^"-1")))"mol"^"-1" × 300 color(red)(cancel(color(black)("K")))) = "0.020 05 mol"#

Step 2. Calculate the concentration of the solution

#c = "0.020 05 mol"/"0.100 L" = "0.200 mol/L"#