Answer:
The new gas pressure within the chamber registers at 1,093.75 mmHg
Explanation:
The Gay-Lussac Law establishes a relationship between a gas's pressure and temperature when volume remains constant. This principle asserts that gas pressure is directly tied to its temperature: as temperature increases, pressure rises, and conversely, as temperature falls, pressure also diminishes. Therefore, the Gay-Lussac law can be depicted mathematically as:

Given an initial and final state of gas, we can apply the following formula:

In this scenario:
- P1= 1560 mmHg
- T1= 445 K
- P2=?
- T2= 312 K
<psubstituting:>

Calculating:

P2=1,093.75 mmHg
The new gas pressure inside the chamber is 1,093.75 mmHg
</psubstituting:>
Answer: The solid metal has a density of 22.5176 g/cm
Explanation:
Based on the information provided;
mass of the solid metal is 255 g
the weight of the cylinder along with its contents decreased by 101 g
it is also stated that the density of mercury is 13.6 g/cm³
The volume occupied by the solid metal is equal to the volume of mercury that was missing during the initial measurement
let's denote the volume as Vcm³
The mass of mercury that was missing during the first measurement can be calculated as density multiplied by volume
= 13.6 g/cm³ × Vcm³ = 13.6V g
Given the cylinder and its contents lost 101 g in weight,
the difference in mass between the solid and the mercury must equal 101 g
therefore,
255 - 13.6V g = 101g
13.6V g = 255 g - 101 g
13.6V = 154
V = 154 / 13.6
V = 11.3245 cm³
The density of the solid metal can then be found by;
⇒ mass / volume
= 255 / 11.3245
= 22.5176 g/cm
Thus, the density of the solid metal equals 22.5176 g/cm
Could you please inform me once you have any updates? I'm interested as it relates to a chemistry problem in my assignment.:)