# When the temperature of a rigid hollow sphere containing 685 L of He gas is held at 348OC, the pressure of the gas is 1.89 x 103 kPa. How many moles of He does the sphere contain?

##### 1 Answer

Mar 4, 2018

#### Explanation:

(Assuming you meant

For this question, we're given:

#P# , or pressure, which is#1.89 xx 10^3 kPa# . This is the same as#(1.89 xx 10^3) / 101.325 = "18.65 atm"# .#V# , or volume, which is#"685 L"# .#T# , or temperature, which is#348 °C# . This is the same as#348 + 273.15 = "621.15 K"# .

Assuming that helium behaves as an ideal gas, we can use the Ideal Gas Law:

We can also rearrange this to have only

Let's say that the value of

Plugging in all of the values, we get: