Charles's law states that the volume v occupied by a gas (at a constant pressure) is directly proportional to its absolute temperature t. an experiment with a balloon shows that the volume of the balloon is 1.2 liter at 270 k (absolute temperature). what will the volume of the balloon be when its temperature is 324 k?

V = 1.44 liters

Step-by-step explanation:

Charles's Law states that the volume V occupied by a gas (at a constant pressure) is directly proportional to its absolute temperature T. Introducing a constant of proportionality, k, the expression becomes

V = KT

An experiment with a balloon shows that the volume of the balloon is 1.2 liter at 270 K. Therefore, we will substitute V = 1.2 and T = 270 into the equation to determine K. It becomes

1.2 = K×270

K = 1.2/270 = 0.0044

The equation becomes

V = 0.0044T

To determine the volume of the balloon when its temperature is 324 K, we will substitute T = 324 into the equation. It becomes

V = 0.0044×324 = 1.44 litres

if x = 1, then the answer is 3.5

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2