An ideal gas has a volume of 2.28 L at 279 K and 1.07 atm. What is the pressure when the volume is 1.03 L and the temperature is 307 K?
1 Answer
Explanation:
First, we use the first set of data to calculate the number of moles using the ideal gas equation:
Where:
#"p"# is pressure in pascals (#"Pa"# )#"V"# is volume in cubic metres (#"m"^3# )#"n"# is the number of moles#"R"# is the gas constant =#8.314# #"T"# is the temperature in Kelvin (#"K"# )
First, convert your given values into workable units:
#1"L" = 0.001"m"^3, :. 2.28"L" = 0.00228"m"^3# #1"atm" = 101325"Pa", :. 1.07"atm" = 108417.8"Pa"#
Second, rearrange the equation to solve for moles:
Next, substitute in your given values and calculate the number of moles:
We can then move onto calculating the new pressure value. The first thing to do here is to, again, convert non-compliant units into ones that are accepted by the equation:
#1"L" = 0.001"m"^3, :. 1.03"L" = 0.00103"m"^3#
Then we rearrange the equation to solve for pressure:
And substituting in our values, we get: