Question

Please show your work - thank you! :)

Answer 1

Option (A) 4500 ml

Hope it helps✌️

Answer 2

A. 4500 mL

Step-by-step explanation:

We need to use a version of the combined gas law, which states:

`(V_1)/(n_1T_1)= (V_2)/(n_2T_2)` , where T represents temperature, V volume, and n moles

First, look at the initial values of n, V, and T:

- n: we have 10.0 grams of hydrogen, which we need to convert to moles. So:
`10.0g*(1 mol)/(2.02 g) =4.95molH_2`

- V: we have a volume of 5.0 L

- T: our temperature right now is 28.0°C, but we need it in Kelvins, so add 273: 28.0 + 273 = 301 K

Now look at the final values:

- n: our final number of grams is 8.5 grams of hydrogen, so we need to convert this to moles.

`8.5g*(1 mol)/(2.02 g) =4.2molH_2`

- V: this is what we want to find

- T: our final temperature is 44.0°C; to convert it to Kelvins, add 273.

44.0 + 273 = 317 K

Put this altogether:

`(V_1)/(n_1T_1)= (V_2)/(n_2T_2)`

`(5.0)/(4.95*301)= (V_2)/(4.2*317)`

Multiply both sides by (4.2 * 317):

`V_2` ≈ 4.5 L

However, the problem wants millilitres, so simply multiply 4.5 by 1000:

4.5 * 1000 = 4500

The answer is thus A.