Question

A gas constant pressure occupies 7.05 L at 20.8 degrees C. What volume will it have at 60.5 degrees C?

Answer 1

The volume at 60.5 degrees celsius is 8.0244 or to the nearest whole number is 8.

Explanation:

So before we even start plugging numbers into the formula or proportions, we need to convert from celsius to kelvin (K) because celsius is not proportional at all. So to convert from celsius to kelvin, we add 273.

So 20.8 + 273 = 293 K and 60.5 + 273 = 333.5 K

So we have volume and temperature. This is most likely Charles's Law which states that volume and temperature are directly proportional.

So the formula to solve for the missing volume is this:

`V_"1"/T_"1"` = `V_"2"/T_"2"`

So let list out our known variables first before plugging them into the proportions.

`V_"1"` = 7.05L
`T_1` = 293K
`V_2` = Unknown
`T_2` 333.5K

So we should expect volume to increase as Charles's Law states that volume and temperature are directly proportional. When temperature go up, volume go up as well.

So let plug these number into the formula.

`"7.05L"/"293K"` = `V_2/"333.5K"`

So we can now cross multiply and get this:

`7.05 * 333.5 = 2351.175`

So after we cross multiply, we now divide by 293 by doing this:

`2351.175/293` = 8.024488054607509

We can say that the volume is 8.0244 which we can round it to the nearest whole number which is 8.