A7 l sample of gas has a pressure of 1.1 atm at a temperature of 285 k. if the pressure decreases to 0.6 atm, causing the volume to increase to 10 l, what is the new temperature? round your answer to the nearest tenth.

The answer is 314.6 K

Gay-Lussac’s law:
PV = kT
P - pressure
V - volume
T - temperature
k - constant

k = PV/T = P1 * V1 / T1 = P2 * V2 / T2 = ...

P1 * V1 / T1 = P2 * V2 / T2
P1 = 1.1 atm
V1 = 7 L
T1 = 285 K
P2 = 1.1 atm - 0.6 atm = 0.5 atm
V2 = 7 L + 10 L = 17 L
T2 = ?

1.1 * 7 / 285 = 0.5 * 17 / T2
7.7 / 285 = 8.5 / T2
T2 = 8.5 * 285 / 7.7
T2 = 314.6 K

The cost of making the bar is $14.88 or rounded up to the nearest dollar $15.00

Given:
width = 8 cm
length = 310 cm
height = 0.40 cm
cost = $0.015 per cm³

Volume of a rectangular prism is solved by multiplying its length, its width, and its height.

V = l * w * h
   = 310 cm * 8 cm * 0.40 cm
V = 992 cm³

Total cost = Volume * cost per cm³
                = 992 cm³ * $0.015/cm³
Total cost = $14.88