Question

Boyle's Law says that the volume of a gas varies inversely with the pressure. When the volume of a certain gas is 10L , the pressure is 112 kPa (kilopascals). What is the volume when the pressure is 160kPa ?

Answer 1

Boyle's Law \(\large PV = k \)

Answer 2

V varies inversely with P : \(\large V = \frac{k}{P}\)

Answer 3

ok?

Answer 4

V = 10 L , P= 112 kPA : \(\large 10 \ L = \frac{k}{112 \ \ kPA} \)

\(\large k = (10 \ L)(112 \ kPA ) = ?\)

Answer 5

what do you get?

Answer 6

Im not sure ? im stuck i have never learned this.

Answer 7

what is 10 x 112?

Answer 8

1120

Answer 9

Good. so k = 1120 L kPA..

Answer 10

so that will be it?

Answer 11

Now we're trying to find the volume.

\[\large V = \frac{k}{P}\]We're given P = 160 kPA and we found k = 1120 L kPA\[\large V = \frac{1120 \ L \ kPA}{160 \ kPA}\]\[\large V = \frac{1120}{160} \ L\]

Answer 12

simplify and find your answer.

Answer 13

would it be 7?

Answer 14

Yep.

Answer 15

your being a very big help right know thank you very much :)

Answer 16

No problem ^^