The volume of a gas increases from 18.7 m3 to 25.1 m3 while the pressure changes from 1.82 atm to 1.41 atm. If the initial temperature is 353 K, the final temperature of the gas is K.

PV/T is constant, so you want T such that

1.82*18.7/353 = 1.41*25.1/T
T ≈ 367

Which best describes the behavior of atoms in a solid substance that is melting into a liquid?

367

To find the final temperature of the gas, we can use the combined gas law. The combined gas law relates the initial and final states of a gas sample, taking into account changes in pressure, volume, and temperature. The formula for the combined gas law is:

(P₁ * V₁) / T₁ = (P₂ * V₂) / T₂

Where:
- P₁ and P₂ are the initial and final pressures, respectively (in atm).
- V₁ and V₂ are the initial and final volumes, respectively (in m³).
- T₁ and T₂ are the initial and final temperatures, respectively (in K).

We can rearrange the formula to solve for T₂:

T₂ = (P₂ * V₂ * T₁) / (P₁ * V₁)

Plugging in the given values:
P₁ = 1.82 atm
V₁ = 18.7 m³
P₂ = 1.41 atm
V₂ = 25.1 m³
T₁ = 353 K

Substituting these values into the equation:

T₂ = (1.41 atm * 25.1 m³ * 353 K) / (1.82 atm * 18.7 m³)

Using this equation, we can calculate the final temperature of the gas.