Question #90f5f
2 Answers
The final pressure will be
Explanation:
The Combined Gas Law can be used to answer this question. It states that the volume of a given amount of gas is proportional to the ratio of its Kelvin temperature and its pressure. The equation is:
At STP, the standard temperature is
To convert
Organize your data:
Given
Unknown:
Solution
Rearrange the equation to isolate
Explanation:
The gas law states that
In the first part of the question, you are told that the gas occupies
this means that conditions are:
#"273.15 Kelvin"# (0 celsius)#"100,000 Pascals"# of pressure#"0.500 L"# volume (Which corresponds to#"0.0005 m"^3"# )
The#R# in the gas law is the Molar gas constant, this value is#"8.314 m"^3 "Pa K"^(−1) "mol"^(−1)"# .
With this information, you can calculate the number of moles of gas you have in your sample.
With this information, you can now answer the second step. The conditions are now:
#"303.15 Kelvin"# #"0.075 L"# (which corresponds to#"0.000075 m"^3"# )
-#"0.02201 Moles"#
Now the equation is re-arranged to#P=(nRT)/V#
The final pressure is
Hope this helped :D