Gas Laws Question?

Question

What volume will a sample of hydrogen occupy at 28.0 degrees celsius if the gas occupies a volume of 2.23 dm3 at a temperature of 0.0 degrees celsius? assume that the pressure remains constant. (remember to change to Kelvin). the answer is 2.46 dm3

dm3 = decimeters cubed = 1 L.

i got 2.022 dm3 but i do not think that is right even if you make it into sig figs..

Answer 1

Volume and temperature are directly proportional, and the temperature must be in degrees Kelvin. As temperature goes up, volume will go up as well (molecules move faster and collide with the walls of whatever container they're in, so in order for the pressure to stay the same, the volume must go up).

V(2)/V(1) = T(2)/T(1)
V(2) = V(1)T(2)/T(1) = 2.23 L * 301 K / 273 K = 2.46 L.

Answer 2

Use the equation PV/t (initial)= PV/t(final)

V1 = 2.23 L
T1 = 0+273 = 273 K

V2 = ?
T2 = 28+273=301K

2.23L/273K = V/301 K

(301 K) (2.23L/273K) = V
the K cancel out leaving L

do the math and you get 2.358 L
Sig figs = 2.36 L or 2.36 dm3

Answer 3

P0V0/T0 = P1V1/T1

P0 = P1, so V0/T0 = V1/T1

V1 = V0*T1/T0
V1 = (2.23 cu. dm) * (28.0 + 273.15) / (0.0 + 273.15)
V1 = 2.46 cu. dm