# 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