If gas at 25.0 °C occupies 360 liters at a pressure of 100 kPa, what will be its volume at a pressure of 2.5O kPa?

1 Answer
Jun 20, 2017

Answer:

14,400 L

Explanation:

Use the formula #(P_1V_1)/(T_1) = (P_2V_2)/(T_2)#

(where P = pressure, V = volume, and T = temperature in Kelvin)

1. Plug the known values into the formula.

Don't forget to convert 25.0 °C to 298 K (273 + 25).

#(100 * 360)/298# = #(2.5 * x)/298#

2. Since temperature stays constant, we can eliminate the 298 K from the equation!

#(100 * 360)/cancel(298)# = #(2.5 * x)/cancel(298)#

3. Solve for x.

#36000 = 2.5x#
#14400 = x#

Your final answer is 14,400 L.